works


柴田良弘 業績目録

　最新の業績情報は、こちら（researchmap）linkをご覧ください。


　以下は、2017年1月19日までの情報です。

論文 / Scientific Papers

  1. A characterization of the hyperbolic mixed problems in a quarter space for differential operators with constant coefficients, Publ. RIMS Kyoto Univ. 15 (1979), 357--399.
  2. $\CE$--well posedness of mixed initial--boundary value problems with constant coefficients in a quarter space, J. D'Analyse Math. 37 (1980), 32--45.
  3. $\CE$--well posedness of mixed initial--boundary value problem with constant coefficients in a quarter-- space II. Proc. Japan Acad. 56 Ser. A. 7 (1980), 318--320.
  4. Liouville type theorem for a system $\{P(D), B_j(D), j =1, \ldots , p\}$ of differential operators with constant coefficients in a half--space, Publ. RIMS Kyoto Univ., 16 (1980), 61--104.
  5. Lower bounds of solutions of general boundary value problems for differential operators with constant coefficients in a half--space, Japan, J. Math., 8 (1982), 343--382.
  6. Lower bounds at infinity of solutions of differential equations with constant coefficients in unbounded domains, ed. H.G. Garnir, {\it Singularities in boundary value problems}, Nato Advanced Study Inst. Series, D. Reidel (1980), 213--234.
  7. (with M. Murata) Lower bounds at infinity of solutions of partial differential equations in the exterior of a proper cone, Israel J. Math. 31 (1978), 193--203.
  8. On the global existence of classical solutions of mixed problem for some second order non--linear hyperbolic operators with dissipative term in the interior domain, Funk. Ekva. 25 (1982), 303--345.
  9. On the global existence of classical solutions of second order fully nonlinear hyperbolic equations with first order dissipation in the exterior domain, Tsukuba J. Math. 7 (1983), 1--68.
  10. (with Y. Tsutsumi) Global existence theorem for nonlinear wave equations in exterior domain, Lecture Notes in Num. Appl. Anal. 6 (1983), 155--196.
  11. (with Y. Tsutsumi) Local existence of $C^{\infty}$--solution for the initial--boundary value problem of fully nonlinear wave equation, Proc. Japan Acad. 60 Ser. A. (1984), 149--152.
  12. (with Y. Tsutsumi) Global existence theorem for nonlinear wave equation in exterior domain, Proc. Japan Acad. 60 Ser. A. (1984), 14--17.
  13. (with Y. Tsutsumi) On a global existence of Neumann problem for some quasi--linear hyperbolic equation, Lecture Notes in Num. Appl. Anal. 8 (1985), 175--228.
  14. (with Y. Tsutsumi) On a global existence theorem of small amplitude solutions for nonlinear wave equations in an exterior domain, Math. Z. 191 (1986), 165--199.
  15. (with Y. Tsutsumi) Local existence of solutions for the initial boundary value problem of fully nonlinear wave equation, Nonlinear Anal. TMA 11 (1987), 335--365.
  16. (with G. Nakamura) On a local existence theorem for quasilinear hyperbolic mixed problems with Neumann type boundary conditions, Proc. Japan Acad., 62 Ser. A. (1986), 117--120.
  17. On a local existence theorem of Neumann prblem for some quasi--linear hyperbolic equations, ed. J. Vaillant, {\it Calcul d'operateurs et fronts d'ondes}, Travaux en cours, 29 Hermann Paris, 1988, pp. 133--167.
  18. (with H. Iwashita) On the analyticity of spectral functions for some exterior boundary value problems, Glasnik Math. 23 (1988), 291--313.
  19. On the Neumann problem for some linear hyperbolic systems of second order, Tsukuba J. Math. 12 (1988), 149--209.
  20. On the Neumann problem for some linear hyperbolic systems of 2nd order with coefficients in Sobolev spaces, Tsukuba J. Math. 13 (1989), 283--352.
  21. (with M. Kikuchi) On the mixed problem for some quasilinear hyperbolic system with fully nonlinear boundary condition, J. Diff. Eqns. 80 (1989), 154--197.
  22. (with G. Nakamura) On a local existence theorem of Neumann problem for some quasi--linear hyperbolic systems of 2nd order, Math. Z. 202 (1989), 1--64.
  23. (with G. Nakamura and K. Tannuma) Whispering gallery waves in a neighborhood of a higher order zero of the curvature of the boundary, Publ. RIMS Kyoto Univ. 25 (1989), 605--629.
  24. (with H. Soga) Scattering theory for the elastic wave equations, Publ. RIMS Kyoto Univ. 25 (1989), 861--887.
  25. (with S. Zheng) On some nonlinear hyperbolic system with damping boundary condition, Nonlinear Anal. TMA 17 (1991), 233--266.
  26. (with R. Racke) Global smooth solution and asymptotic stability in one-dimensional nonlinear thermoelasticity, Arch. Rational Mech. Anal. 116 (1991), 1--34.
  27. Neumann prblem for one--dimensional nonlinear thermoelasticity, PDE. Banach Center Publication 27 (1992), 457--480.
  28. (with S. Kawashima) Global existence and exponential stability of small solutions to nonlinear viscoelasticity, Commun. Math. Phys. 148 (1992), 189--208.
  29. (with R. Racke and S. Zheng) Global solvability and exponential stability in one--dimensional nonlinear thermoelasticity, Quart. Appl. Math. 51 (1993), 751--763.
  30. (with T. Kobayashi and H. Pecher) On a global in time existence theorem of smooth solutions to nonlinear wave equation with viscosity, Math. Ann. 296 (1993), 215--234.
  31. Global in time solvability of the initial boundary value problem for some nonlinear dissipative evolution equtions, Comment. Math. Univ. Carolinae 34 (1993), 295--312.
  32. (with P. D'Ancona) On global solvability of nonlinear viscoelastic equations in the analytic category, Math. Meth. Appl. Sci. 17 (1994), 477--486.
  33. (with S. Kawashima) On the Neumann problem of one-dimensional nonlinear thermoelasticity with time--independent external force, Czech. Math. J. 45 (120) (1995), 39--67.
  34. On the exponential decay of the energy of the linear thermoelastic plate, Comp. Appl. Math. 13 (1994), 81--102.
  35. (with A. Milani) On compatible regularizing data for second order hyperbolic initial--boundary value problems,Osaka J. Math 32 (1995), 347--362.
  36. (with A. Milani) On the strong well--posedness of quasilinear hyperbolic initial--boundary value problems, Funk. Ekvaj. 38 (1995), 491--503.
  37. Global in time existence of small solutions of nonlinear thermoviscoelastic equations, Math. Meth. Appl. Sci. 18 (1995), 871--895.
  38. (with W. Dan) On a local energy decay of solutions of a dissipative wave equation,Funk. Ekvaj. 38 (1995), 545--568.
  39. (with J. Mu\~noz Rivera) A linear thermoelastic plate equation with Dirichlet boundary condition, Math. Meth. Appl. Sci. 20 (1997), 915--932.　
  40. (with G.P. Galdi and J.G. Heywood) On the global existence and convergence to steady state of Navier--Stokes flow past an obstacle that is started from rest, Arch. Rational Mech. Anal.　138 (1997), 307--318.
  41. An exterior initial boundary value problem for the Navier-Stokes equation, Mathematical Sciences and Applications Vol.10 (1997) Nonlinear Waves, 431--446.
  42. An initial boundary value problem for some hyperbolic-parabolic coupled system, Mathematical Sciences and Applications Vol.10 (1997) Nonlinear Waves, 447--450.
  43. (with T. Kobayashi) On the Oseen equation in exterior domains, Math.Ann.310, (1998), 1--45.
  44. An exterior initial boundary value prob lem for Navier-Stokes equation, Quart. Appl. Math. Vol. LVII, No.1(1999), 117--155.
  45. (with W. Dan) On the $L_q$--$L_r$ estimate of the Stokes semigroup in a two dimensional exterior domain, J. Math. Soc. Japan, Vol 51, No.1, (1999), 181--207.
  46. (with W. Dan) Remark on the $L_q$--$L_{\infty}$ estimate of the Stokes semigroup in a two dimensional exterior domain, Pacific J. Math. 189, Vol 2, (1999), 223-239.
  47. (with T. Kobayashi) Decay estimates of solutions for the equations of motion of compressible viscous and heat-conductive gases in an exterior domain in $\bold R^3$, Commun. Math. Phys. 200, (1999) 621--659.
  48. On a Decay Rate of Solutions to One-Dimensional Termoelastic Equations on a Half Line; Linear Part, Advances in Nonlinear Partial Differential Equations and Stochastics, Edit. S. Kawashima and T. Yanagisawa, World Scientific, Singapore, 1998, pp 198--291.
  49. Recent Topics on Mathematical Theory of Viscous Incompressible Fluid, Edit by H. Kozono and Y. Shibata, Kinokuniya, 1998.
  50. 非線形発展方程式の大域解の安定性, 数学　５１巻 1--17, 1999.
  51. On the rate of decay of solutions to linear viscoelastic equation, Math. Meth. Appl. Sci. 23, (2000) 203--226.
  52. (with Senjo Shimizu) A decay property of the Fourier image and its application to Stokes problem and interface problem, J. Math Fluid Mech. Vol 3. No.3 (2001), 213--230.
  53. (with Senjo Shimizu) Some resolvent estimates for the Stokes system in bounded and exterior domains, Proceedings of the International Conference on Nonlinear Analysis and Convex Analysis (Hirosaki, 2001), 1--11.
  54. (with Senjo Shimizu) On the $L_p$ and Schauder estimates of solutions to elastostatic interface problems, Rend. Circ. Mat. Palermo II,68 (2002), 821--835.
  55. (with Takayuki Kobayashi) Remark on the rate of Decay of Solutions to Linearized Compressible Navier-Stokes Equations, Pacific J. Math. 207 (No.1) (2002), 199-234.
  56. (with Senjo Shimizu) On Some Resolvent Estimates for the Stokes System, Differential and Integral Equation, 16 (2003), 385--426.
  57. (with Takayuki. Abe) On a generalized resolvente estimate of the Stokes equation on an infinite layer, Part 1 $|\lambda| > 0$ case, J. Math. Soc. Japan 55 (2003), 469--497.
  58. (Koumei. Tanaka ) On the steady flow of compressible viscous fluid and its stability with respect to initial disturbance, J. Math. Soc. Japan 55 (2003), 797--826.
  59. (with Takayuki. Abe) On a generalized resolvent estimate of the Stokes equation on an infinite layer, Part 2 $\lambda = 0$ case, J. Math. Fluid Mech.5 (2003), 245--274.
  60. (with S. Shimizu) On a resolvent estimate of the interface problem for the Stokes system in a bounded domain, Journal of Diff. Eqns. 191 (2003), 408--444.
  61. (with P. Secchi) On the decay of solutions to the 2D Neumann exterior problem for the wave equation, Journal of Diff. Eqns. 194 (2003), 221--236.
  62. On some stability theorems about viscous fluid flow, Quaderni del Sem. Mat. di Brescia (Brescia 大学発行，講義録) 2003 年
  63. Time-global solutions of nonlinear evolution equations and their stability, AMS translations Series 2. Vol. 211, Selected Papers on Analysis and Differential Equaitons, K. Nomizu ed. 2003 年
  64. (with T. Akiyama, H. Kasai and M. Tsutsumi) On a resolvent estimate of a system of Laplace operators with perfect wall condition, Funk. Ekvaj. 47 (2004), 361--394.
  65. (with K. Tanaka) On a resolvent problem for the linearized system from the dynamical system describing the compressible viscous fluid motion, Math. Mech. Appl. Sci. 27 (2004), 1579--1606.
  66. (with T. Kubo) On some properties of solutions to the Stokes equation in the half-space and perturbed half-space, Dispersive nonlinear problems in mathematical physics, 149--220, Quad. Mat. 15, Dept. Math., Seconda Univ. Napoli, Caserta, 2004.
  67. (with Y. Enomoto) Local energy decay of solutions to the Oseen equation in the exterior domains, Indiana Univ. Math. J. 53 (2004), 1291--1330.
  68. (with Y. Enomoto) $L_p$--$L_q$ estimates of the Oseen semigroup in an $n$ dimensional exterior domain, J. math. fluid mech. 7 (2005), 339--367.
  69. (with T. Kubo) On the Stokes and Navier-Stokes equation in a perturbed half-space, Advances in Differential Equations 10 (2005), 1341--1357.
  70. (with M. Yamazaki) Uniform estimates in the velocity at infinity for stationary solutions to the Navier-Stokes exterior problem, Japanese J. Math. (New Series) 31 (2005), 225--279.
  71. (with S. Shimizu) On the Stokes equation with Neumannn boundary condition, Regularity and other aspects of the Navier-Stokes equations, Banach Center Publications, 70 (2005).
  72. (with S. Shimizu) $L_p$--$L_q$ maximal regularity and viscous incompressible flows with free surface, Proc. Japan Acad. 81, Ser A, No. 9 (2005), 151-155.
  73. (with T. Kubo) On the Stokes and Navier-Stokes flows in a perturbed half space, Regularity and other aspects of the Navier-Stokes equations, Banach Center Publications, 70 (2005).
  74. (with N. Yamaguchi), Global existence of strong solutions to the micropolar fluid system, Hyperbolic Problems, Theory, Numerics and Applications II, 305--312, Asakuraet al. ed. Yokohama Publishers, 2006.
  75. (with T. Hishida) Globally in time existence theorem for the Navier-Stokes flow in the exterior of a rotating obstacle, WSWAS Trans. Math. 5 (2006), 303--307.
  76. (with K. Tanaka), Rate of convergence of non-stationary flow to the steady flow of compressible viscous fluid, Comput. Math. Appl. 53 (2007), 605-623.
  77. (with R. Shimada), On a generalized resolvent estimate for the Stokes system with Robin boundary condition, J. Math. Soc. Japan 59 (2007), 469--519.
  78. (with R. Shimada), On the Stokes equation with Robin boundary condition, Asymptotic analysis and singularities---hyperbolic and dispersive PDEs and fluid mechanics, 341--348, Adv. Stud. Pure Math., 47-1, Math. Soc. Japan, Tokyo, 2007.
  79. (with T. Hishida), Decay estimates of the Stokes flow around a rotating obstacle, RIMS Kokyuroku Bessatsu, B1 (2007), 167--186.
  80. (with S. Shimizu), Free boundary problems for a viscous incompressible fluid, RIMS Kokyuroku Bessatsu B1 (2007), 343--358.
  81. (with S. Shimizu), On a free boundary problem for the Navier-Stokes equations, Diff. Int. Eqns. 20 (2007), 241--276.
  82. (with S. Shimizu), $L_p$-$L_q$ maximal regularity of the Neumann problem for the Stokes equations in a bounded domain, Advanced Studies in Pure Math. 47 (2007), 349--362.
  83. (with Y. Shimizu), Decay properties of the Stokes semigroup in exterior domains with Neumann boundary condition, J. Math. Soc. Japan 59 (2007), 1--34.
  84. (with T. Akiyama), On an $L_p$ approach to the stationary and nonstationary problems to the Ginzburg-Landau-Maxwell equations, J. Differential Equatons 243 (2007), 1--23.
  85. (with M. Okamura and N. Yamaguchi), A Stokes approximation of two dimensional exterior Oseen flow near the boundary, Advanced Studies Pure Math. 47 (2007), 273--289.
  86. (with S. Shimizu), On the $L_p$-$L_q$ maximal regularity of the Neumann problem for the Stokes equations in a bounded domain, J. reine angew. Math.615 (2008) 157--209 (CRELLE).
  87. On the Oseen semigroup with rotating effect. Functional analysis and evolution equations, 595--611, Birkhauser, Basel, 2008.
  88. On Some Stability Theorems of The Navier-Stokes Equations and Related Topics, Ulmer Seminare 2008, Proceedings Mathematishce Analyse von Evolution, Information und Komplexit\"at, Heft 13, pp. 195--230.
  89. A stability theorem of the Navier-Stokes flow past a rotating body, Banach Center Publications, 81 (2008), 441--455.
  90. (with T. Hishida), $L_p$-$L_q$ estimate of the Stokes operator and the Navier- Stokes flows in the exterior of a rotating obstacle, Arch. Rational Mech. Anal., 193 (2009), 339-421.
  91. (with S. Shimizu), On a resolvent estimate of the Stokes systemin a half-space arising from a free boundary problem for the Navier-Stokes equations, Math. Nachr. 282, No.3, (2009), 482--499.
  92. (with R. Denk and R. Racke), $L_p$ theory for the linear thermoelastic plate equations in bounded and exterior domains, Advances in Differential Equations, 14 (2009), no.7--8, 685--715.
  93. (with Y. Naito), On the $L_p$ analytic semigroup associated with the linear thermoelastic plate equations in the half-space, J. Math. Soc. Japan, 61 (2009), no.4, 971--1011.
  94. Robert Denk, Reinhard Racke, Yoshihiro Shibata, Local energy decay estimate of solutions to the thermoelastic plate equations in two- and three-dimensional exterior domains. Z. Anal. Anwend. 29 (2010), no. 1, 21-62. doi:10.4171/ZAA/1396
  95. Matthias Hieber, Yoshihiro Shibata, The Fujita-Kato approach to the Navier-Stokes equations in the rotational framework. Math. Z. 265 (2010), no. 2, 481-491. doi:10.1007/s00209-009-0525-8
  96. Yuka Naito, Reinhard Recke, Yoshihiro Shibata, Low frequency expansion in thermoelasticity with second sound in three dimensions. J. Math. Soc. Japan 62 (2010), no. 4, 1289-1316. doi:10.2969/jmsj/06241289
  97. Yoshihiro Shibata, On a $C^0$ semigroup associated with a modified Oseen equation with rotating effect. Advances in mathematical fluid mechanics, 513-551, Springer, Berlin, 2010. doi:10.1007/978-3-642-04068-9_29
  98. Joachim Escher, Patrick Guidotti, Matthias Hieber, Piotr Mucha, Jan Prus, Yoshihiro Shibata, Gieri Simonett, Christoph Walker, Wojciech Zajaczkowski, Preface. Parabolic problems, ix-xii, Progr. Nonlinear Differential Equations Appl., 80, Birkhauser/Springer Basel AG, Basel, 2011.
  99. Yoshihiro Shibata, On the maximal Lp-Lq regularity of the Stokes equations and the one phase free boundary problem for the Navier-Stokes equations. Mathematical analysis on the Navier-Stokes equations and related topics, past and future, 185-208, GAKUTO Internat. Ser. Math. Sci. Appl., 35, Gakkōtosho, Tokyo, 2011.
  100. Yoshihiro Shibata, Senjo Shimizu, Maximal Lp-Lq regularity for the two-phase Stokes equations; model problems. J. Differential Equations 251 (2011), no. 2, 373-419.
  101. Yoshihiro Shibata, Senjo Shimizu, Report on a local in time solvability of free surface problems for the Navier-Stokes equations with surface tension. Appl. Anal. 90 (2011), no. 1, 201-214. doi:10.1080/00036811003735899
  102. Matthias Hieber, Yuka Naito, Yoshihiro Shibata, Global existence results for Oldroyd-B fluids in exterior domains. J. Differential Equations 252 (2012), no. 3, 2617--2629. doi:10.1016/j.jde.2011.09.001
  103. Yuko Enomoto, Yoshihiro Shibata, About compressible viscous fluid flow in a 2-dimensional exterior domain. Spectral theory, mathematical system theory, evolution equations, differential and difference equations, 305--321, Oper. Theory Adv. Appl., 221, Birkhauser/Springer Basel AG, Basel, 2012. doi:10.1007/978-3-0348-0297-0_17
  104. Yuko Enomoto, Yoshihiro Shibata, On some decay properties of Stokes semigroup of compressible viscous fluid flow in a 2-dimensional exterior domain. J. Differential Equations 252 (2012), no. 12, 6214--6249. doi:10.1016/j.jde.2012.03.003
  105. Jan Pruess, Senjo Shimizu, Yoshihiro Shibata, Gieri Simonett, On well-posed of incompressible two-phase flows with phase transitions: the case of equal densities, Evolution Equations and Control Theory, 1 (2012), no.1, 171--194. PriPrint doi:10.3934/eect.2012.1.171
  106. Yoshihiro Shibata, Senjo Shimizu, On the maximal Lp-Lq regularity of the Stokes problem with first order boundary condition; model problems. J. Math. Soc. Japan 64 (2012), no. 2, 561--626. doi:10.2969/jmsj/06420561
  107. Yuko Enomoto, Yoshihiro Shibata, On the R-sectoriality and the initial boundary value problem for the viscous compressible fluid flow. Funkcial. Ekvac. 56 (2013), no. 3, 441--505.
  108. Yoshihiro Shibata, Generalized resolvent estimates of the Stokes equations with first order boundary condition in a general domain. J. Math. Fluid Mech. 15 (2013), no. 1, 1--40. doi: 10.1007/s00021-012-0130-1
  109. Yuko Enomoto, Lorenz von Below, Yoshihiro Shibata, On some free boundary problem for a compressible barotropic viscous fluid flow. Ann. Univ. Ferrara Sez. VII Sci. Mat. 60 (2014), no. 1, 55--89. doi:10.1007/s11565-013-0194-8
  110. Dario Goetz and Yoshihiro Shibata, On the R boundedness of the solution operators in the study of the compressible viscous fluid flow with free boundary condition. Asymptotic Analysis, 90 (2014), no. 3-4, 207-236. doi:10.3233/ASY-141238
  111. Takayuki Kubo, Yoshihiro Shibata and Kohei Soga, On the R-boundedness for the two phase problem: compressible-incompressible model problem. Bound. Value Probl. 2014, 2014:141, 33 pp. OpenAccess doi:10.1186/s13661-014-0141-3
  112. Yoshihiro Shibata, On the R-boundedness of solution operators for the Stokes equations with free boundary condition. Differential Integral Equations 27 (2014), no. 3-4, 313--368.
  113. Yoshihiro Shibata, On the R-Boundedness of Solution Operators for the weak Dirichlet-Neumann Problem. RIMS Kokyuroku 1875 (2014), 1--18. OpenAccess ※査読なし
  114. Yoshihiro Shibata, On some free boundary problem of the Navier-Stokes equations in the maximal L_p-L_q regularity class. J. Differential Equations, 258 (2015), no. 12, 4127--4155. doi:10.1016/j.jde.2015.01.028
  115. Katharina Schade and Yoshihiro Shibata, On strong dynamics of compressible nematic liquid crystals. SIAM J. Math. Anal. 47 (2015), no. 5, 3963--3992. DOI:10.1137/140970628
  116. Yoshihiro Shibata, Local well-posedness of free surface problems for the Navier-Stokes equations in a general domain. Discrete Contin. Dyn. Syst. Ser. S 9 (2016), no. 1, 315--342. OpenAccess doi:10.3934/dcdss.2016.9.315
  117. Takayuki Kubo, Yoshihiro Shibata and Kohei Soga, On some two phase problem for compressible and compressible viscous fluid flow separated by sharp interface. Discrete and Continuous Dynamical Systems - Series A (DCDS-A), 36 (2016), no.7, 3741--3774. OpenAccess doi:10.3934/dcds.2016.36.3741
  118. Yoshihiro Shibata, Miho Murata, On the global well-posedness for the compressible Navier-Stokes equations with slip boundary condition. J. Differential Equations 260 (2016), no. 7, 5761--5795. doi:10.1016/j.jde.2015.12.018
  119. Yoshihiro Shibata, On the R-boundedness for the two phase problem with phase transition: compressible-incompressible model problem. Funkcial. Ekvac. 59 (2016), no. 2, 243--287. doi: 10.1619/fesi.59.243
  120. Hirokazu Saito, Yoshihiro Shibata, On decay properties of solutions to the Stokes equations with surface tension and gravity in the half space. J. Math. Soc. Japan 68 (2016), no. 4, 1559--1614. doi:10.2969/jmsj/06841559
  121. Yoshihiro Shibata, Local well-posedness of compressible-incompressible two-phase flows with phase transitions, to appear. PrePrint

専門書 / Book

  1. ルベーグ積分論 (内田老鶴圃) 2006年 　※この本に関する補足・修正は こちら（pdf)
  2. ベクトル解析から流体へ(垣田高夫・柴田良弘著)日本評論社 (2007年7月)
  3. 非線形偏微分方程式 (柴田良弘・久保隆徹著) 朝倉書店 (2012年1月）
  4. 流体数学の基礎,「岩波数学叢書」(2022年11月)
  5. Mathematical Fluid Dynamics, Present and Future (Editors: SHIBATA, Yoshihiro, SUZUKI, Yukihito) Springer Proceedings in Mathematics & Statistics (2016)
  6. Special Issue "Maximal Regularity, Stability Estimates and Mathematical Fluid Dynamics", Mathematics 2021. (Special Issue Editor: SHIBATA, Yoshihiro)