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## Shibata, Yoshihiro

Compute Distance To:
 Author ID: shibata.yoshihiro Published as: Shibata, Y.; Shibata, Yoshihiro Homepage: http://www.fluid.sci.waseda.ac.jp/shibata/top.html External Links: GND
 Documents Indexed: 145 Publications since 1978, including 4 Books Reviewing Activity: 15 Reviews Biographic References: 2 Publications
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#### Co-Authors

 41 single-authored 18 Shimizu, Senjo 7 Enomoto, Yuko 6 Kubo, Takayuki 6 Tsutsumi, Yoshio 5 Dan, Wakako 5 Kobayashi, Takayuki 5 Racke, Reinhard 4 Denk, Robert 3 Abe, Takayuki 3 Hieber, Matthias 3 Murata, Miho 3 Naito, Yuka 3 Nakamura, Gen 3 Piasecki, Tomasz 3 Saito, Hirokazu 3 Tanaka, Koumei 3 Zatorska, Ewelina 2 Akiyama, Takahiro 2 Galdi, Giovanni Paolo 2 Kawashima, Shuichi 2 Milani, Albert J. 2 Prüß, Jan Wilhelm 2 Schonbek, Maria Elena 2 Shimada, Rieko 2 Simonett, Gieri 2 Soga, Kohei 2 Yamaguchi, Norikazu 2 Yamazaki, Masao 2 Zheng, Songmu 1 D’Ancona, Piero 1 Escher, Joachim 1 Götz, Dario 1 Guidotti, Patrick Q. 1 Heywood, John G. 1 Hishida, Toshiaki 1 Iwashita, Hiroaki 1 Kasai, Hironori 1 Kikuchi, Masahiro 1 Kozono, Hideo 1 Mucha, Piotr Bogusław 1 Muñoz Rivera, Jaime Edilberto 1 Murata, Minoru 1 Okamura, Mitsuhiro 1 Pecher, Hartmut 1 Schade, Katharina Clara 1 Secchi, Paolo 1 Soga, Hideo 1 Suma’inna 1 Suzuki, Yukihito 1 Tanuma, Kazumi 1 Tsutsumi, Masayoshi 1 von Below, Lorenz 1 Walker, Christoph 1 Zajączkowski, Wojciech M. 1 Zhang, Xin
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#### Serials

 11 Journal of Differential Equations 9 Journal of the Mathematical Society of Japan 6 Funkcialaj Ekvacioj. Serio Internacia 5 Mathematical Methods in the Applied Sciences 5 Proceedings of the Japan Academy. Series A 4 Publications of the Research Institute for Mathematical Sciences, Kyoto University 4 SIAM Journal on Mathematical Analysis 4 RIMS Kokyuroku 4 Journal of Mathematical Fluid Mechanics 4 Evolution Equations and Control Theory 3 Archive for Rational Mechanics and Analysis 3 Mathematische Zeitschrift 3 Tsukuba Journal of Mathematics 3 Differential and Integral Equations 2 Communications in Mathematical Physics 2 Japanese Journal of Mathematics. New Series 2 Mathematische Annalen 2 Pacific Journal of Mathematics 2 Quarterly of Applied Mathematics 2 Asymptotic Analysis 2 Advances in Differential Equations 2 Journal of Evolution Equations 2 RIMS Kôkyûroku Bessatsu 2 Nonlinear Analysis. Theory, Methods & Applications 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 Israel Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Commentationes Mathematicae Universitatis Carolinae 1 Czechoslovak Mathematical Journal 1 Indiana University Mathematics Journal 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Nachrichten 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Osaka Journal of Mathematics 1 Zeitschrift für Analysis und ihre Anwendungen 1 Sūgaku 1 Glasnik Matematički. Serija III 1 Computational and Applied Mathematics 1 Discrete and Continuous Dynamical Systems 1 Communications on Pure and Applied Analysis 1 Boundary Value Problems 1 Lecture Notes in Mathematics 1 Lecture Notes in Numerical and Applied Analysis 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Discrete and Continuous Dynamical Systems. Series S 1 Springer Proceedings in Mathematics & Statistics 1 Progress in Nonlinear Differential Equations and Their Applications
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#### Fields

 143 Partial differential equations (35-XX) 79 Fluid mechanics (76-XX) 26 Mechanics of deformable solids (74-XX) 14 Operator theory (47-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 General and overarching topics; collections (00-XX) 4 Numerical analysis (65-XX) 2 Ordinary differential equations (34-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Integral transforms, operational calculus (44-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

110 Publications have been cited 1,289 times in 751 Documents Cited by Year
Decay estimates of solutions for the equations of motion of compressible viscous and heat-conductive gases in an exterior domain in $$\mathbb{R}^3$$. Zbl 0921.35092
Kobayashi, Takayuki; Shibata, Yoshihiro
1999
Global existence and exponential stability of small solutions to nonlinear viscoelasticity. Zbl 0779.35066
Kawashima, S.; Shibata, Y.
1992
On the rate of decay of solutions to linear viscoelastic equation. Zbl 0947.35020
Shibata, Yoshihiro
2000
On the global existence of classical solutions of second order fully nonlinear hyperbolic equations with first order dissipation in the exterior domain. Zbl 0524.35071
Shibata, Yoshihiro
1983
$$L_{p}-L_{q}$$ estimate of the Stokes operator and Navier-Stokes flows in the exterior of a rotating obstacle. Zbl 1169.76015
Hishida, Toshiaki; Shibata, Yoshihiro
2009
On the $$L_{p}$$-$$L_{q}$$ maximal regularity of the Neumann problem for the Stokes equations in a bounded domain. Zbl 1145.35053
Shibata, Yoshihiro; Shimizu, Senjo
2008
Global smooth solutions and asymptotic stability in one-dimensional nonlinear thermoelasticity. Zbl 0756.73012
Racke, Reinhard; Shibata, Yoshihiro
1991
On a global existence theorem of small amplitude solutions for nonlinear wave equations in an exterior domain. Zbl 0592.35028
Shibata, Yoshihiro; Tsutsumi, Yoshio
1986
A decay property of the Fourier transform and its application to the Stokes problem. Zbl 1102.35300
Shibata, Yoshihiro; Shimizu, Senjo
2001
On a global in time existence theorem of smooth solutions to a nonlinear wave equation with viscosity. Zbl 0788.35001
Kobayashi, Takayuki; Pecher, Hartmut; Shibata, Yoshihiro
1993
The Fujita-Kato approach to the Navier-Stokes equations in the rotational framework. Zbl 1190.35175
Hieber, Matthias; Shibata, Yoshihiro
2010
On the Oseen equation in the three dimensional exterior domains. Zbl 0891.35114
Kobayashi, Takayuki; Shibata, Yoshihiro
1998
On the $$\mathcal{R}$$-sectoriality and the initial boundary value problem for the viscous compressible fluid flow. Zbl 1296.35118
Enomoto, Yuko; Shibata, Yoshihiro
2013
On the steady flow of compressible viscous fluid and its stability with respect to initial disturbance. Zbl 1051.76058
Shibata, Yoshihiro; Tanaka, Koumei
2003
Rate of convergence of non-stationary flow to the steady flow of compressible viscous fluid. Zbl 1122.76077
Shibata, Yoshihiro; Tanaka, Koumei
2007
On the $$L_q-L_r$$ estimates of the Stokes semigroup in a two-dimensional exterior domain. Zbl 0924.35094
Dan, Wakako; Shibata, Yoshihiro
1999
On the rate of decay of the Oseen semigroup in exterior domains and its application to Navier-Stokes equation. Zbl 1094.35097
Enomoto, Yuko; Shibata, Yoshihiro
2005
Remark on the rate of decay of solutions to linearized compressible Navier-Stokes equations. Zbl 1060.35104
Kobayashi, Takayuki; Shibata, Yoshihiro
2002
On a local energy decay of solutions of a dissipative wave equation. Zbl 0848.35070
Dan, Wakako; Shibata, Yoshihiro
1995
Global existence results for Oldroyd-B fluids in exterior domains. Zbl 1234.35195
Hieber, Matthias; Naito, Yuka; Shibata, Yoshihiro
2012
On a generalized resolvent estimate for the Stokes system with Robin boundary condition. Zbl 1127.35043
2007
Remark on the $$L_q-L_\infty$$ estimate of the Stokes semigroup in a 2-dimensional exterior domain. Zbl 0931.35021
Dan, Wakako; Shibata, Yoshihiro
1999
Local existence of solution for the initial boundary value problem of fully nonlinear wave equation. Zbl 0651.35053
Shibata, Yoshihiro; Tsutsumi, Yoshio
1987
Global solvability and exponential stability in one-dimensional nonlinear thermoelasticity. Zbl 0804.35132
Racke, Reinhard; Shibata, Yoshihiro; Zheng, Songmu
1993
On the maximal $$L_{p}$$-$$L_{q}$$ regularity of the Stokes problem with first order boundary condition; model problems. Zbl 1251.35074
Shibata, Yoshihiro; Shimizu, Senjo
2012
On a free boundary problem for the Navier-Stokes equations. Zbl 1212.35353
Shibata, Yoshihiro; Shimizu, Senjo
2007
On an exterior initial-boundary value problem for Navier-Stokes equations. Zbl 1157.35451
Shibata, Yoshihiro
1999
On the global existence and convergence to steady state of Navier-Stokes flow past an obstacle that is started from rest. Zbl 0898.35071
Galdi, G. P.; Heywood, J. G.; Shibata, Y.
1997
On global solvability of nonlinear viscoelastic equations in the analytic category. Zbl 0803.35091
D’Ancona, Piero; Shibata, Yoshihiro
1994
On the global existence of classical solutions of mixed problem for some second order nonlinear hyperbolic operators with dissipative term in the interior domain. Zbl 0524.35070
Shibata, Yoshihiro
1982
Local energy decay of solutions to the Oseen equation in the exterior domains. Zbl 1088.35048
Enomoto, Yuko; Shibata, Yoshihiro
2004
On a resolvent estimate for the Stokes system with Neumann boundary condition. Zbl 1054.35056
Shibata, Yoshihiro; Shimizu, Senjo
2003
On a resolvent estimate of the interface problem for the Stokes system in a bounded domain. Zbl 1030.35134
Shibata, Yoshihiro; Shimizu, Senjo
2003
On some free boundary problem of the Navier-Stokes equations in the maximal $$L_p - L_q$$ regularity class. Zbl 1319.35166
Shibata, Yoshihiro
2015
On well-posedness of incompressible two-phase flows with phase transitions: the case of equal densities. Zbl 1302.76066
Prüss, Jan; Shibata, Yoshihiro; Shimizu, Senjo; Simonett, Gieri
2012
Generalized resolvent estimates of the Stokes equations with first order boundary condition in a general domain. Zbl 1278.35202
Shibata, Yoshihiro
2013
$$L_p$$ theory for the linear thermoelastic plate equations in bounded and exterior domains. Zbl 1182.35034
Denk, Robert; Racke, Reinhard; Shibata, Yoshihiro
2009
On a resolvent estimate of the Stokes equation on an infinite layer. II: $$\lambda=0$$ case. Zbl 1162.76328
Abe, T.; Shibata, Y.
2003
On a resolvent estimate of the Stokes equation on an infinite layer. Zbl 1048.35052
Abe, Takayuki; Shibata, Yoshihiro
2003
On the exponential decay of the energy of a linear thermoelastic plate. Zbl 0811.73006
Shibata, Yoshihiro
1994
Scattering theory for the elastic wave equation. Zbl 0714.35066
Shibata, Yoshihiro; Soga, Hideo
1989
On a local existence theorem of Neumann problem for some quasilinear hyperbolic system of 2nd order. Zbl 0652.35077
Shibata, Yoshihiro; Nakamura, Gen
1989
On some free boundary problem for a compressible barotropic viscous fluid flow. Zbl 1321.35264
Enomoto, Yuko; von Below, Lorenz; Shibata, Yoshihiro
2014
On the $$\mathcal {R}$$-boundedness of solution operators for the Stokes equations with free boundary condition. Zbl 1324.35151
Shibata, Yoshihiro
2014
On the Oseen semigroup with rotating effect. Zbl 1165.35039
Shibata, Yoshihiro
2008
On a resolvent problem for the linearized system from the dynamical system describing the compressible viscous fluid motion. Zbl 1058.76058
Shibata, Yoshihiro; Tanaka, Koumei
2004
On the mixed problem for some quasilinear hyperbolic system with fully nonlinear boundary condition. Zbl 0689.35055
Shibata, Yoshihiro; Kikuchi, Masahiro
1989
Maximal $$L_{p}$$-$$L_{q}$$ regularity for the two-phase Stokes equations; model problems. Zbl 1230.35089
Shibata, Yoshihiro; Shimizu, Senjo
2011
On some properties of solutions to the Stokes equation in the half-space and perturbed half-space. Zbl 1129.35443
Kubo, Takayuki; Shibata, Yoshihiro
2004
Local energy decay estimate of solutions to the thermoelastic plate equations in two- and three-dimensional exterior domains. Zbl 1188.35023
Denk, Robert; Racke, Reinhard; Shibata, Yoshihiro
2010
A linear thermoelastic plate equation with Dirichlet boundary condition. Zbl 0880.73028
Muñoz Rivera, Jaime E.; Shibata, Yoshihiro
1997
On the analyticity of spectral functions for some exterior boundary value problems. Zbl 0696.35120
Iwashita, H.; Shibata, Y.
1988
On the $$\mathcal{R}$$-boundedness for the two phase problem with phase transition: compressible-incompressible model problem. Zbl 1371.35366
Shibata, Yoshihiro
2016
On the global well-posedness for the compressible Navier-Stokes equations with slip boundary condition. Zbl 1337.35111
Shibata, Yoshihiro; Murata, Miho
2016
Report on a local in time solvability of free surface problems for the Navier-Stokes equations with surface tension. Zbl 1209.35158
Shibata, Yoshihiro; Shimizu, Senjo
2011
Uniform estimates in the velocity at infinity for stationary solutions to the Navier-Stokes exterior problem. Zbl 1152.35459
Shibata, Yoshihiro; Yamazaki, Masao
2005
On the Neumann problem for some linear hyperbolic systems of second order. Zbl 0674.35056
Shibata, Yoshihiro
1988
On strong dynamics of compressible nematic liquid crystals. Zbl 1328.35181
2015
On a resolvent estimate of the Stokes system in a half space arising from a free boundary problem for the Navier-Stokes equations. Zbl 1173.35102
Shibata, Y.; Shimizu, S.
2009
On a resolvent estimate of a system of Laplace operators with perfect wall condition. Zbl 1114.35062
Akiyama, Takahiro; Kasai, Hironori; Shibata, Yoshihiro; Tsutsumi, Masayoshi
2004
On the global well-posedness of strong dynamics of incompressible nematic liquid crystals in $$\mathbb R^N$$. Zbl 1367.35128
Schonbek, Maria; Shibata, Yoshihiro
2017
On the $$\mathcal{R}$$-boundedness of the solution operators in the study of the compressible viscous fluid flow with free boundary conditions. Zbl 1327.35317
Götz, Dario; Shibata, Yoshihiro
2014
On the $$L_{p}$$ analytic semigroup associated with the linear thermoelastic plate equations in the half-space. Zbl 1184.35062
Naito, Yuka; Shibata, Yoshihiro
2009
Free boundary problems for a viscous incompressible fluid. Zbl 1122.35100
Shibata, Yoshihiro; Shimizu, Senjo
2007
$$L_p$$-$$L_q$$ maximal regularity and viscous incompressible flows with free surface. Zbl 1188.35139
Shibata, Yoshihiro; Shimizu, Senjo
2005
On the Stokes and Navier-Stokes equations in a perturbed half-space. Zbl 1105.35079
Kubo, Takayuki; Shibata, Yoshihiro
2005
On the Neumann problem for some linear hyperbolic systems of 2nd order with coefficients in Sobolev spaces. Zbl 0706.35082
Shibata, Yoshihiro
1989
Global existence theorem for nonlinear wave equation in exterior domain. Zbl 0569.35055
Shibata, Yoshihiro; Tsutsumi, Yoshio
1984
On the local wellposedness of free boundary problem for the Navier-Stokes equations in an exterior domain. Zbl 1397.35179
Shibata, Yoshihiro
2018
On decay properties of solutions to the Stokes equations with surface tension and gravity in the half space. Zbl 1358.35131
Saito, Hirokazu; Shibata, Yoshihiro
2016
On the global well-posedness of some free boundary problem for a compressible barotropic viscous fluid flow. Zbl 1349.35304
Shibata, Yoshihiro
2016
On the $$\mathcal{R}$$-boundedness for the two phase problem: compressible-incompressible model problem. Zbl 1304.35556
Kubo, Takayuki; Shibata, Yoshihiro; Soga, Kohei
2014
On a $$C^0$$ semigroup associated with a modified Oseen equation with rotating effect. Zbl 1374.35290
Shibata, Yoshihiro
2010
Decay properties of the Stokes semigroup in exterior domains with Neumann boundary condition. Zbl 1124.35058
Shibata, Yoshihiro; Shimizu, Senjo
2007
On a decay rate of solutions to one-dimensional thermoelastic equations of a half-line; linear part. Zbl 0930.74019
Shibata, Yoshihiro
1998
Global in time existence of smooth solutions of nonlinear thermoviscoelastic equations. Zbl 0836.35156
Shibata, Yoshihiro
1995
A characterization of the hyperbolic mixed problems in a quarter space for differential operators with constant coefficients. Zbl 0426.35023
Shibata, Yoshihiro
1979
Global well-posedness of unsteady motion of viscous incompressible capillary liquid bounded by a free surface. Zbl 1405.35259
Shibata, Yoshihiro
2018
On the $$L_p$$-$$L_q$$ decay estimate for the Stokes equations with free boundary conditions in an exterior domain. Zbl 1394.35373
Shibata, Yoshihiro
2018
Maximal regularity for the thermoelastic plate equations with free boundary conditions. Zbl 1366.35073
Denk, Robert; Shibata, Yoshihiro
2017
On the $$\mathcal R$$-bounded solution operator and the maximal $$L_p$$-$$L_q$$ regularity of the Stokes equations with free boundary condition. Zbl 1373.35224
Shibata, Yoshihiro
2016
Local well-posedness of free surface problems for the Navier-Stokes equations in a general domain. Zbl 1419.35256
Shibata, Yoshihiro
2016
On one-dimensional nonlinear thermoelasticity. Zbl 0799.73018
Shibata, Y.
1992
Neumann problem for one-dimensional nonlinear thermoeleasticity. Zbl 0802.35147
Shibata, Yoshihiro
1992
On a local existence theorem of Neumann problem for some quasi-linear hyperbolic equations. Zbl 0701.35105
Shibata, Y.
1988
On a global existence theorem of Neumann problem for some quasi-linear hyperbolic equations. Zbl 0653.35059
Shibata, Yoshihiro; Tsutsumi, Yoshio
1985
On the isothermal compressible multi-component mixture flow: the local existence and maximal $$L_p-L_q$$ regularity of solutions. Zbl 1427.35184
Piasecki, T.; Shibata, Y.; Zatorska, E.
2019
On strong dynamics of compressible two-component mixture flow. Zbl 1419.76541
Piasecki, Tomasz; Shibata, Yoshihiro; Zatorska, Ewelina
2019
On the Stokes equation with Neumann boundary condition. Zbl 1100.35081
Shibata, Yoshihiro; Shimizu, Senjo
2005
On the local energy decay approach to some fluid flow in an exterior domain. Zbl 0912.35119
Dan, Wakako; Kobayashi, Takayuki; Shibata, Yoshihiro
1998
On the strong well-posedness of quasilinear hyperbolic initial-boundary value problems. Zbl 0846.35076
Milani, Albert; Shibata, Yoshihiro
1995
Local existence of $$C^{\infty}$$-solution for the initial-boundary value problem of fully nonlinear wave equation. Zbl 0567.35061
Shibata, Yoshihiro; Tsutsumi, Yoshio
1984
Global existence theorem for nonlinear wave equation in exterior domain. Zbl 0564.35072
Shibata, Yoshihiro; Tsutsumi, Yoshio
1984
The global well-posedness for the compressible fluid model of Korteweg type. Zbl 1455.35202
Murata, Miho; Shibata, Yoshihiro
2020
On some two phase problem for compressible and compressible viscous fluid flow separated by sharp interface. Zbl 1386.35146
Kubo, Takayuki; Shibata, Yoshihiro; Soga, Kohei
2016
$$L_p$$-$$L_q$$ maximal regularity of the Neumann problem for the Stokes equations in a bounded domain. Zbl 1141.35344
Shibata, Yoshihiro; Shimizu, Senjo
2006
On the Stokes equation with Robin boundary condition. Zbl 1187.35160
2006
A stokes approximation of two dimensional exterior Oseen flow near the boundary. Zbl 1137.35413
Okamura, Mitsuhiro; Shibata, Yoshihiro; Yamaguchi, Norikazu
2006
On a stability theorem of the Navier-Stokes equation in an exterior domain. Zbl 1104.35030
Enomoto, Yuko; Shibata, Yoshihiro
2006
On the decay of solutions to the 2D Neumann exterior problem for the wave equation. Zbl 1160.35460
Secchi, Paolo; Shibata, Yoshihiro
2003
The global well-posedness for the compressible fluid model of Korteweg type. Zbl 1455.35202
Murata, Miho; Shibata, Yoshihiro
2020
On the isothermal compressible multi-component mixture flow: the local existence and maximal $$L_p-L_q$$ regularity of solutions. Zbl 1427.35184
Piasecki, T.; Shibata, Y.; Zatorska, E.
2019
On strong dynamics of compressible two-component mixture flow. Zbl 1419.76541
Piasecki, Tomasz; Shibata, Yoshihiro; Zatorska, Ewelina
2019
On the local wellposedness of free boundary problem for the Navier-Stokes equations in an exterior domain. Zbl 1397.35179
Shibata, Yoshihiro
2018
Global well-posedness of unsteady motion of viscous incompressible capillary liquid bounded by a free surface. Zbl 1405.35259
Shibata, Yoshihiro
2018
On the $$L_p$$-$$L_q$$ decay estimate for the Stokes equations with free boundary conditions in an exterior domain. Zbl 1394.35373
Shibata, Yoshihiro
2018
On the global well-posedness of strong dynamics of incompressible nematic liquid crystals in $$\mathbb R^N$$. Zbl 1367.35128
Schonbek, Maria; Shibata, Yoshihiro
2017
Maximal regularity for the thermoelastic plate equations with free boundary conditions. Zbl 1366.35073
Denk, Robert; Shibata, Yoshihiro
2017
On the $$\mathcal{R}$$-boundedness for the two phase problem with phase transition: compressible-incompressible model problem. Zbl 1371.35366
Shibata, Yoshihiro
2016
On the global well-posedness for the compressible Navier-Stokes equations with slip boundary condition. Zbl 1337.35111
Shibata, Yoshihiro; Murata, Miho
2016
On decay properties of solutions to the Stokes equations with surface tension and gravity in the half space. Zbl 1358.35131
Saito, Hirokazu; Shibata, Yoshihiro
2016
On the global well-posedness of some free boundary problem for a compressible barotropic viscous fluid flow. Zbl 1349.35304
Shibata, Yoshihiro
2016
On the $$\mathcal R$$-bounded solution operator and the maximal $$L_p$$-$$L_q$$ regularity of the Stokes equations with free boundary condition. Zbl 1373.35224
Shibata, Yoshihiro
2016
Local well-posedness of free surface problems for the Navier-Stokes equations in a general domain. Zbl 1419.35256
Shibata, Yoshihiro
2016
On some two phase problem for compressible and compressible viscous fluid flow separated by sharp interface. Zbl 1386.35146
Kubo, Takayuki; Shibata, Yoshihiro; Soga, Kohei
2016
On some free boundary problem of the Navier-Stokes equations in the maximal $$L_p - L_q$$ regularity class. Zbl 1319.35166
Shibata, Yoshihiro
2015
On strong dynamics of compressible nematic liquid crystals. Zbl 1328.35181
2015
On some free boundary problem for a compressible barotropic viscous fluid flow. Zbl 1321.35264
Enomoto, Yuko; von Below, Lorenz; Shibata, Yoshihiro
2014
On the $$\mathcal {R}$$-boundedness of solution operators for the Stokes equations with free boundary condition. Zbl 1324.35151
Shibata, Yoshihiro
2014
On the $$\mathcal{R}$$-boundedness of the solution operators in the study of the compressible viscous fluid flow with free boundary conditions. Zbl 1327.35317
Götz, Dario; Shibata, Yoshihiro
2014
On the $$\mathcal{R}$$-boundedness for the two phase problem: compressible-incompressible model problem. Zbl 1304.35556
Kubo, Takayuki; Shibata, Yoshihiro; Soga, Kohei
2014
On the $$\mathcal{R}$$-sectoriality and the initial boundary value problem for the viscous compressible fluid flow. Zbl 1296.35118
Enomoto, Yuko; Shibata, Yoshihiro
2013
Generalized resolvent estimates of the Stokes equations with first order boundary condition in a general domain. Zbl 1278.35202
Shibata, Yoshihiro
2013
Global existence results for Oldroyd-B fluids in exterior domains. Zbl 1234.35195
Hieber, Matthias; Naito, Yuka; Shibata, Yoshihiro
2012
On the maximal $$L_{p}$$-$$L_{q}$$ regularity of the Stokes problem with first order boundary condition; model problems. Zbl 1251.35074
Shibata, Yoshihiro; Shimizu, Senjo
2012
On well-posedness of incompressible two-phase flows with phase transitions: the case of equal densities. Zbl 1302.76066
Prüss, Jan; Shibata, Yoshihiro; Shimizu, Senjo; Simonett, Gieri
2012
Maximal $$L_{p}$$-$$L_{q}$$ regularity for the two-phase Stokes equations; model problems. Zbl 1230.35089
Shibata, Yoshihiro; Shimizu, Senjo
2011
Report on a local in time solvability of free surface problems for the Navier-Stokes equations with surface tension. Zbl 1209.35158
Shibata, Yoshihiro; Shimizu, Senjo
2011
The Fujita-Kato approach to the Navier-Stokes equations in the rotational framework. Zbl 1190.35175
Hieber, Matthias; Shibata, Yoshihiro
2010
Local energy decay estimate of solutions to the thermoelastic plate equations in two- and three-dimensional exterior domains. Zbl 1188.35023
Denk, Robert; Racke, Reinhard; Shibata, Yoshihiro
2010
On a $$C^0$$ semigroup associated with a modified Oseen equation with rotating effect. Zbl 1374.35290
Shibata, Yoshihiro
2010
$$L_{p}-L_{q}$$ estimate of the Stokes operator and Navier-Stokes flows in the exterior of a rotating obstacle. Zbl 1169.76015
Hishida, Toshiaki; Shibata, Yoshihiro
2009
$$L_p$$ theory for the linear thermoelastic plate equations in bounded and exterior domains. Zbl 1182.35034
Denk, Robert; Racke, Reinhard; Shibata, Yoshihiro
2009
On a resolvent estimate of the Stokes system in a half space arising from a free boundary problem for the Navier-Stokes equations. Zbl 1173.35102
Shibata, Y.; Shimizu, S.
2009
On the $$L_{p}$$ analytic semigroup associated with the linear thermoelastic plate equations in the half-space. Zbl 1184.35062
Naito, Yuka; Shibata, Yoshihiro
2009
On the $$L_{p}$$-$$L_{q}$$ maximal regularity of the Neumann problem for the Stokes equations in a bounded domain. Zbl 1145.35053
Shibata, Yoshihiro; Shimizu, Senjo
2008
On the Oseen semigroup with rotating effect. Zbl 1165.35039
Shibata, Yoshihiro
2008
Rate of convergence of non-stationary flow to the steady flow of compressible viscous fluid. Zbl 1122.76077
Shibata, Yoshihiro; Tanaka, Koumei
2007
On a generalized resolvent estimate for the Stokes system with Robin boundary condition. Zbl 1127.35043
2007
On a free boundary problem for the Navier-Stokes equations. Zbl 1212.35353
Shibata, Yoshihiro; Shimizu, Senjo
2007
Free boundary problems for a viscous incompressible fluid. Zbl 1122.35100
Shibata, Yoshihiro; Shimizu, Senjo
2007
Decay properties of the Stokes semigroup in exterior domains with Neumann boundary condition. Zbl 1124.35058
Shibata, Yoshihiro; Shimizu, Senjo
2007
$$L_p$$-$$L_q$$ maximal regularity of the Neumann problem for the Stokes equations in a bounded domain. Zbl 1141.35344
Shibata, Yoshihiro; Shimizu, Senjo
2006
On the Stokes equation with Robin boundary condition. Zbl 1187.35160
2006
A stokes approximation of two dimensional exterior Oseen flow near the boundary. Zbl 1137.35413
Okamura, Mitsuhiro; Shibata, Yoshihiro; Yamaguchi, Norikazu
2006
On a stability theorem of the Navier-Stokes equation in an exterior domain. Zbl 1104.35030
Enomoto, Yuko; Shibata, Yoshihiro
2006
On the rate of decay of the Oseen semigroup in exterior domains and its application to Navier-Stokes equation. Zbl 1094.35097
Enomoto, Yuko; Shibata, Yoshihiro
2005
Uniform estimates in the velocity at infinity for stationary solutions to the Navier-Stokes exterior problem. Zbl 1152.35459
Shibata, Yoshihiro; Yamazaki, Masao
2005
$$L_p$$-$$L_q$$ maximal regularity and viscous incompressible flows with free surface. Zbl 1188.35139
Shibata, Yoshihiro; Shimizu, Senjo
2005
On the Stokes and Navier-Stokes equations in a perturbed half-space. Zbl 1105.35079
Kubo, Takayuki; Shibata, Yoshihiro
2005
On the Stokes equation with Neumann boundary condition. Zbl 1100.35081
Shibata, Yoshihiro; Shimizu, Senjo
2005
Local energy decay of solutions to the Oseen equation in the exterior domains. Zbl 1088.35048
Enomoto, Yuko; Shibata, Yoshihiro
2004
On a resolvent problem for the linearized system from the dynamical system describing the compressible viscous fluid motion. Zbl 1058.76058
Shibata, Yoshihiro; Tanaka, Koumei
2004
On some properties of solutions to the Stokes equation in the half-space and perturbed half-space. Zbl 1129.35443
Kubo, Takayuki; Shibata, Yoshihiro
2004
On a resolvent estimate of a system of Laplace operators with perfect wall condition. Zbl 1114.35062
Akiyama, Takahiro; Kasai, Hironori; Shibata, Yoshihiro; Tsutsumi, Masayoshi
2004
On the steady flow of compressible viscous fluid and its stability with respect to initial disturbance. Zbl 1051.76058
Shibata, Yoshihiro; Tanaka, Koumei
2003
On a resolvent estimate for the Stokes system with Neumann boundary condition. Zbl 1054.35056
Shibata, Yoshihiro; Shimizu, Senjo
2003
On a resolvent estimate of the interface problem for the Stokes system in a bounded domain. Zbl 1030.35134
Shibata, Yoshihiro; Shimizu, Senjo
2003
On a resolvent estimate of the Stokes equation on an infinite layer. II: $$\lambda=0$$ case. Zbl 1162.76328
Abe, T.; Shibata, Y.
2003
On a resolvent estimate of the Stokes equation on an infinite layer. Zbl 1048.35052
Abe, Takayuki; Shibata, Yoshihiro
2003
On the decay of solutions to the 2D Neumann exterior problem for the wave equation. Zbl 1160.35460
Secchi, Paolo; Shibata, Yoshihiro
2003
Remark on the rate of decay of solutions to linearized compressible Navier-Stokes equations. Zbl 1060.35104
Kobayashi, Takayuki; Shibata, Yoshihiro
2002
A decay property of the Fourier transform and its application to the Stokes problem. Zbl 1102.35300
Shibata, Yoshihiro; Shimizu, Senjo
2001
On the rate of decay of solutions to linear viscoelastic equation. Zbl 0947.35020
Shibata, Yoshihiro
2000
Decay estimates of solutions for the equations of motion of compressible viscous and heat-conductive gases in an exterior domain in $$\mathbb{R}^3$$. Zbl 0921.35092
Kobayashi, Takayuki; Shibata, Yoshihiro
1999
On the $$L_q-L_r$$ estimates of the Stokes semigroup in a two-dimensional exterior domain. Zbl 0924.35094
Dan, Wakako; Shibata, Yoshihiro
1999
Remark on the $$L_q-L_\infty$$ estimate of the Stokes semigroup in a 2-dimensional exterior domain. Zbl 0931.35021
Dan, Wakako; Shibata, Yoshihiro
1999
On an exterior initial-boundary value problem for Navier-Stokes equations. Zbl 1157.35451
Shibata, Yoshihiro
1999
On the Oseen equation in the three dimensional exterior domains. Zbl 0891.35114
Kobayashi, Takayuki; Shibata, Yoshihiro
1998
On a decay rate of solutions to one-dimensional thermoelastic equations of a half-line; linear part. Zbl 0930.74019
Shibata, Yoshihiro
1998
On the local energy decay approach to some fluid flow in an exterior domain. Zbl 0912.35119
Dan, Wakako; Kobayashi, Takayuki; Shibata, Yoshihiro
1998
On the decay estimate of the Stokes semigroup in a two-dimensional exterior domain. Zbl 0946.35061
Shibata, Y.
1998
On the global existence and convergence to steady state of Navier-Stokes flow past an obstacle that is started from rest. Zbl 0898.35071
Galdi, G. P.; Heywood, J. G.; Shibata, Y.
1997
A linear thermoelastic plate equation with Dirichlet boundary condition. Zbl 0880.73028
Muñoz Rivera, Jaime E.; Shibata, Yoshihiro
1997
On a local energy decay of solutions of a dissipative wave equation. Zbl 0848.35070
Dan, Wakako; Shibata, Yoshihiro
1995
Global in time existence of smooth solutions of nonlinear thermoviscoelastic equations. Zbl 0836.35156
Shibata, Yoshihiro
1995
On the strong well-posedness of quasilinear hyperbolic initial-boundary value problems. Zbl 0846.35076
Milani, Albert; Shibata, Yoshihiro
1995
On compatible regularizing data for second order hyperbolic initial-boundary value problems. Zbl 0852.35088
Milani, Albert; Shibata, Yoshihiro
1995
On global solvability of nonlinear viscoelastic equations in the analytic category. Zbl 0803.35091
D’Ancona, Piero; Shibata, Yoshihiro
1994
On the exponential decay of the energy of a linear thermoelastic plate. Zbl 0811.73006
Shibata, Yoshihiro
1994
On a global in time existence theorem of smooth solutions to a nonlinear wave equation with viscosity. Zbl 0788.35001
Kobayashi, Takayuki; Pecher, Hartmut; Shibata, Yoshihiro
1993
Global solvability and exponential stability in one-dimensional nonlinear thermoelasticity. Zbl 0804.35132
Racke, Reinhard; Shibata, Yoshihiro; Zheng, Songmu
1993
Global in time solvability of the initial boundary value problem for some nonlinear dissipative evolution equations. Zbl 0805.35077
Shibata, Yoshihiro
1993
Global existence and exponential stability of small solutions to nonlinear viscoelasticity. Zbl 0779.35066
Kawashima, S.; Shibata, Y.
1992
On one-dimensional nonlinear thermoelasticity. Zbl 0799.73018
Shibata, Y.
1992
Neumann problem for one-dimensional nonlinear thermoeleasticity. Zbl 0802.35147
Shibata, Yoshihiro
1992
Global smooth solutions and asymptotic stability in one-dimensional nonlinear thermoelasticity. Zbl 0756.73012
Racke, Reinhard; Shibata, Yoshihiro
1991
On some nonlinear hyperbolic systems with damping boundary conditions. Zbl 0772.35031
Shibata, Yoshihiro; Zheng, Songmu
1991
Scattering theory for the elastic wave equation. Zbl 0714.35066
Shibata, Yoshihiro; Soga, Hideo
1989
On a local existence theorem of Neumann problem for some quasilinear hyperbolic system of 2nd order. Zbl 0652.35077
Shibata, Yoshihiro; Nakamura, Gen
1989
On the mixed problem for some quasilinear hyperbolic system with fully nonlinear boundary condition. Zbl 0689.35055
Shibata, Yoshihiro; Kikuchi, Masahiro
1989
On the Neumann problem for some linear hyperbolic systems of 2nd order with coefficients in Sobolev spaces. Zbl 0706.35082
Shibata, Yoshihiro
1989
Whispering gallery waves in a neighborhood of a higher order zero of the curvature of the boundary. Zbl 0707.35050
Nakamura, Gen; Shibata, Yoshihiro; Tanuma, Kazumi
1989
On the analyticity of spectral functions for some exterior boundary value problems. Zbl 0696.35120
Iwashita, H.; Shibata, Y.
1988
On the Neumann problem for some linear hyperbolic systems of second order. Zbl 0674.35056
Shibata, Yoshihiro
1988
On a local existence theorem of Neumann problem for some quasi-linear hyperbolic equations. Zbl 0701.35105
Shibata, Y.
1988
Local existence of solution for the initial boundary value problem of fully nonlinear wave equation. Zbl 0651.35053
Shibata, Yoshihiro; Tsutsumi, Yoshio
1987
On a local existence theorem for quasilinear hyperbolic mixed problems with Neumann type boundary conditions. Zbl 0736.35004
Shibata, Y.
1987
On a global existence theorem of small amplitude solutions for nonlinear wave equations in an exterior domain. Zbl 0592.35028
Shibata, Yoshihiro; Tsutsumi, Yoshio
1986
On a global existence theorem of Neumann problem for some quasi-linear hyperbolic equations. Zbl 0653.35059
Shibata, Yoshihiro; Tsutsumi, Yoshio
1985
...and 10 more Documents
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#### Cited by 709 Authors

 52 Shibata, Yoshihiro 21 Ikehata, Ryo 16 Shimizu, Senjo 15 Hieber, Matthias 14 Racke, Reinhard 13 Tan, Zhong 11 Nečasová, Šárka 10 D’Abbicco, Marcello 10 Farwig, Reinhard 9 Fang, Daoyuan 9 Guo, Boling 9 Hishida, Toshiaki 9 Muñoz Rivera, Jaime Edilberto 9 Wang, Weike 9 Wang, Wenjun 9 Yao, Zhengan 8 Kagei, Yoshiyuki 8 Takeda, Hiroshi 8 Yamamoto, Masakazu 8 Yang, Zhijian 7 Charão, Ruy Coimbra 7 Danchin, Raphaël 7 Denk, Robert 7 Deuring, Paul 7 Kobayashi, Takayuki 7 Maremonti, Paolo 7 Messaoudi, Salim A. 7 Nakao, Mitsuhiro 7 Prüß, Jan Wilhelm 7 Takada, Ryo 7 Zajączkowski, Wojciech M. 7 Zi, Ruizhao 6 Bae, Hyeong-Ohk 6 Galdi, Giovanni Paolo 6 Geissert, Matthias 6 Giga, Yoshikazu 6 Medková, Dagmar 6 Nguyen Thieu Huy 6 Roh, Jaiok 6 Saito, Hirokazu 6 Sogge, Christopher D. 6 Solonnikov, Vsevolod Alekseevich 6 Taniuchi, Yasushi 6 Tsutsumi, Yoshio 6 Ukai, Seiji 6 Xu, Jiang 6 Yang, Tong 6 Zhang, Ting 5 Abe, Ken 5 Blokhin, Aleksandr Mikhaĭlovich 5 Duan, Renjun 5 Kawashima, Shuichi 5 Kawashita, Mishio 5 Kračmar, Stanislav 5 Kubo, Takayuki 5 Li, Yin 5 Metcalfe, Jason L. 5 Mucha, Piotr Bogusław 5 Neustupa, Jiří 5 Pu, Xueke 5 Qin, Yuming 5 Reissig, Michael 5 Saal, Jürgen 5 Wang, Ya-Guang 5 Wang, Yanjin 5 Wei, Ruiying 5 Wilke, Mathias 5 Wu, Guochun 5 Wu, Zhigang 5 Xi, Xiaoyu 5 Xu, Fuyi 5 Zhao, Huijiang 4 Abels, Helmut 4 Heck, Horst 4 Iwabuchi, Tsukasa 4 Jiang, Song 4 Kozono, Hideo 4 Kubo, Hideo 4 Lasiecka, Irena 4 Murata, Miho 4 Oliveira, Filipe A. A. 4 Piasecki, Tomasz 4 Sun, Jinyi 4 Sun, Pengtao 4 Tkachev, Dmitry L. 4 Wang, Weihua 4 Yang, Minghua 4 Zhang, Yinghui 4 Zhu, Changjiang 3 Al Baba, Hind 3 Autuori, Giuseppina 3 Bian, Dongfen 3 Chen, Guowang 3 da Luz, Cleverson Roberto 3 Dharmawardane, Priyanjana M. N. 3 Dias, João-Paulo 3 Ebert, Marcelo Rempel 3 Fino, Ahmad Z. 3 Gawinecki, Jerzy August 3 Georgiev, Vladimir S. ...and 609 more Authors
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#### Cited in 150 Serials

 79 Journal of Differential Equations 55 Journal of Mathematical Analysis and Applications 40 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 33 Archive for Rational Mechanics and Analysis 32 Journal of Mathematical Fluid Mechanics 22 Mathematical Methods in the Applied Sciences 20 Journal of Evolution Equations 19 Communications in Partial Differential Equations 17 Applicable Analysis 17 Communications on Pure and Applied Analysis 16 ZAMP. Zeitschrift für angewandte Mathematik und Physik 16 SIAM Journal on Mathematical Analysis 16 Discrete and Continuous Dynamical Systems 13 Nonlinear Analysis. Real World Applications 12 Journal of the Mathematical Society of Japan 11 Mathematische Annalen 11 Proceedings of the Japan Academy. Series A 10 Journal of Mathematical Physics 10 Mathematische Zeitschrift 9 Nonlinear Analysis. Theory, Methods & Applications 8 Journal of Functional Analysis 8 Acta Applicandae Mathematicae 7 Communications in Mathematical Physics 7 Transactions of the American Mathematical Society 7 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 7 Journal of Hyperbolic Differential Equations 7 Evolution Equations and Control Theory 6 Mathematische Nachrichten 6 Boundary Value Problems 5 Journal of Computational and Applied Mathematics 5 Manuscripta Mathematica 5 Zeitschrift für Analysis und ihre Anwendungen 5 Chinese Annals of Mathematics. Series B 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 NoDEA. Nonlinear Differential Equations and Applications 5 Discrete and Continuous Dynamical Systems. Series S 4 Computers & Mathematics with Applications 4 Applied Mathematics and Computation 4 Publications of the Research Institute for Mathematical Sciences, Kyoto University 4 Applied Mathematics Letters 4 Journal of Elasticity 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Abstract and Applied Analysis 4 Acta Mathematica Sinica. English Series 4 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 3 Nonlinearity 3 Physica A 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Archiv der Mathematik 3 Czechoslovak Mathematical Journal 3 Quarterly of Applied Mathematics 3 Calculus of Variations and Partial Differential Equations 3 International Journal of Differential Equations 2 Journal of Computational Physics 2 Advances in Mathematics 2 Journal für die Reine und Angewandte Mathematik 2 Numerische Mathematik 2 Osaka Journal of Mathematics 2 Proceedings of the American Mathematical Society 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Physica D 2 Journal of Scientific Computing 2 Journal of Dynamics and Differential Equations 2 Archive of Applied Mechanics 2 Topological Methods in Nonlinear Analysis 2 Journal of Mathematical Sciences (New York) 2 St. Petersburg Mathematical Journal 2 European Journal of Mechanics. B. Fluids 2 Communications in Contemporary Mathematics 2 Journal of Applied Mathematics 2 Analysis and Applications (Singapore) 2 Complex Variables and Elliptic Equations 2 Kinetic and Related Models 2 Statistics and Computing 1 Acta Mechanica 1 Bulletin of the Australian Mathematical Society 1 Computer Methods in Applied Mechanics and Engineering 1 Communications on Pure and Applied Mathematics 1 Fluid Dynamics 1 Israel Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Journal of the Franklin Institute 1 Mathematical Notes 1 Physics Letters. A 1 Rocky Mountain Journal of Mathematics 1 Studia Mathematica 1 Ukrainian Mathematical Journal 1 Wave Motion 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Acta Mathematica 1 Acta Mathematica Vietnamica 1 Applied Mathematics and Optimization 1 Duke Mathematical Journal 1 Funkcialaj Ekvacioj. Serio Internacia 1 International Journal of Mathematics and Mathematical Sciences 1 Inventiones Mathematicae 1 Journal of the London Mathematical Society. Second Series 1 Kodai Mathematical Journal 1 Mathematica Slovaca 1 Memoirs of the American Mathematical Society ...and 50 more Serials
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#### Cited in 35 Fields

 698 Partial differential equations (35-XX) 381 Fluid mechanics (76-XX) 134 Mechanics of deformable solids (74-XX) 31 Operator theory (47-XX) 28 Numerical analysis (65-XX) 22 Harmonic analysis on Euclidean spaces (42-XX) 18 Classical thermodynamics, heat transfer (80-XX) 12 Functional analysis (46-XX) 12 Systems theory; control (93-XX) 11 Dynamical systems and ergodic theory (37-XX) 11 Optics, electromagnetic theory (78-XX) 11 Statistical mechanics, structure of matter (82-XX) 9 Biology and other natural sciences (92-XX) 6 Ordinary differential equations (34-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Geophysics (86-XX) 4 Real functions (26-XX) 4 Integral equations (45-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Mechanics of particles and systems (70-XX) 3 Quantum theory (81-XX) 2 History and biography (01-XX) 2 Measure and integration (28-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistics (62-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX)