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Author ID: shibata.yoshihiro Recent zbMATH articles by "Shibata, Yoshihiro"
Published as: Shibata, Yoshihiro; Shibata, Y.
Homepage: http://www.fluid.sci.waseda.ac.jp/shibata/top.html
External Links: GND
Documents Indexed: 150 Publications since 1978
4 Contributions as Editor · 1 Further Contribution
Reviewing Activity: 15 Reviews
Biographic References: 2 Publications
Co-Authors: 56 Co-Authors with 108 Joint Publications
901 Co-Co-Authors
all top 5

Serials

12 Journal of Differential Equations
9 Journal of the Mathematical Society of Japan
6 Funkcialaj Ekvacioj. Serio Internacia
6 Journal of Mathematical Fluid Mechanics
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 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
3 Journal of Evolution 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 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 Dissertationes Mathematicae
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 Communications in Partial Differential Equations
1 Glasnik Matematički. Serija III
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Journal of Mathematical Sciences (New York)
1 Computational and Applied Mathematics
1 Discrete and Continuous Dynamical Systems
1 Communications on Pure and Applied Analysis
1 Algebra and Discrete Mathematics
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

Publications by Year

Citations contained in zbMATH Open

119 Publications have been cited 1,545 times in 883 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
128
1999
On the rate of decay of solutions to linear viscoelastic equation. Zbl 0947.35020
Shibata, Yoshihiro
68
2000
Global existence and exponential stability of small solutions to nonlinear viscoelasticity. Zbl 0779.35066
Kawashima, S.; Shibata, Y.
59
1992
\(L_{p}-L_{q}\) estimate of the Stokes operator and Navier-Stokes flows in the exterior of a rotating obstacle. Zbl 1169.76015
Hishida, Toshiaki; Shibata, Yoshihiro
41
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
41
2008
On the Oseen equation in the three dimensional exterior domains. Zbl 0891.35114
Kobayashi, Takayuki; Shibata, Yoshihiro
37
1998
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
36
1993
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
36
1983
On the \(\mathcal{R}\)-sectoriality and the initial boundary value problem for the viscous compressible fluid flow. Zbl 1296.35118
Enomoto, Yuko; Shibata, Yoshihiro
35
2013
On a global existence theorem of small amplitude solutions for nonlinear wave equations in an exterior domain. Zbl 0592.35028
Shibata, Yoshihiro; Tsutsumi, Yoshio
34
1986
Global smooth solutions and asymptotic stability in one-dimensional nonlinear thermoelasticity. Zbl 0756.73012
Racke, Reinhard; Shibata, Yoshihiro
33
1991
The Fujita-Kato approach to the Navier-Stokes equations in the rotational framework. Zbl 1190.35175
Hieber, Matthias; Shibata, Yoshihiro
33
2010
A decay property of the Fourier transform and its application to the Stokes problem. Zbl 1102.35300
Shibata, Yoshihiro; Shimizu, Senjo
33
2001
On the steady flow of compressible viscous fluid and its stability with respect to initial disturbance. Zbl 1051.76058
Shibata, Yoshihiro; Tanaka, Koumei
28
2003
On the \(L_q-L_r\) estimates of the Stokes semigroup in a two-dimensional exterior domain. Zbl 0924.35094
Dan, Wakako; Shibata, Yoshihiro
28
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
27
2005
Remark on the rate of decay of solutions to linearized compressible Navier-Stokes equations. Zbl 1060.35104
Kobayashi, Takayuki; Shibata, Yoshihiro
27
2002
Global existence results for Oldroyd-B fluids in exterior domains. Zbl 1234.35195
Hieber, Matthias; Naito, Yuka; Shibata, Yoshihiro
27
2012
Rate of convergence of non-stationary flow to the steady flow of compressible viscous fluid. Zbl 1122.76077
Shibata, Yoshihiro; Tanaka, Koumei
25
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
24
1999
On global solvability of nonlinear viscoelastic equations in the analytic category. Zbl 0803.35091
D’Ancona, Piero; Shibata, Yoshihiro
23
1994
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.
23
1997
On an exterior initial-boundary value problem for Navier-Stokes equations. Zbl 1157.35451
Shibata, Yoshihiro
23
1999
On a generalized resolvent estimate for the Stokes system with Robin boundary condition. Zbl 1127.35043
Shibata, Yoshihiro; Shimada, Rieko
22
2007
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
22
2012
Global solvability and exponential stability in one-dimensional nonlinear thermoelasticity. Zbl 0804.35132
Racke, Reinhard; Shibata, Yoshihiro; Zheng, Songmu
21
1993
Local existence of solution for the initial boundary value problem of fully nonlinear wave equation. Zbl 0651.35053
Shibata, Yoshihiro; Tsutsumi, Yoshio
21
1987
On a local energy decay of solutions of a dissipative wave equation. Zbl 0848.35070
Dan, Wakako; Shibata, Yoshihiro
21
1995
On a free boundary problem for the Navier-Stokes equations. Zbl 1212.35353
Shibata, Yoshihiro; Shimizu, Senjo
21
2007
Local energy decay of solutions to the Oseen equation in the exterior domains. Zbl 1088.35048
Enomoto, Yuko; Shibata, Yoshihiro
20
2004
On a resolvent estimate for the Stokes system with Neumann boundary condition. Zbl 1054.35056
Shibata, Yoshihiro; Shimizu, Senjo
16
2003
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
16
1982
On a resolvent estimate of the interface problem for the Stokes system in a bounded domain. Zbl 1030.35134
Shibata, Yoshihiro; Shimizu, Senjo
15
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
14
2015
Generalized resolvent estimates of the Stokes equations with first order boundary condition in a general domain. Zbl 1278.35202
Shibata, Yoshihiro
14
2013
On the Oseen semigroup with rotating effect. Zbl 1165.35039
Shibata, Yoshihiro
14
2008
On a resolvent estimate of the Stokes equation on an infinite layer. II: \( \lambda=0\) case. Zbl 1162.76328
Abe, T.; Shibata, Y.
13
2003
\(L_p\) theory for the linear thermoelastic plate equations in bounded and exterior domains. Zbl 1182.35034
Denk, Robert; Racke, Reinhard; Shibata, Yoshihiro
13
2009
On a local existence theorem of Neumann problem for some quasilinear hyperbolic system of 2nd order. Zbl 0652.35077
Shibata, Yoshihiro; Nakamura, Gen
13
1989
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
13
2004
On the \(\mathcal {R}\)-boundedness of solution operators for the Stokes equations with free boundary condition. Zbl 1324.35151
Shibata, Yoshihiro
13
2014
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
13
2012
On some free boundary problem for a compressible barotropic viscous fluid flow. Zbl 1321.35264
Enomoto, Yuko; von Below, Lorenz; Shibata, Yoshihiro
13
2014
On the exponential decay of the energy of a linear thermoelastic plate. Zbl 0811.73006
Shibata, Yoshihiro
12
1994
On a resolvent estimate of the Stokes equation on an infinite layer. Zbl 1048.35052
Abe, Takayuki; Shibata, Yoshihiro
12
2003
Maximal \(L_{p}\)-\(L_{q}\) regularity for the two-phase Stokes equations; model problems. Zbl 1230.35089
Shibata, Yoshihiro; Shimizu, Senjo
12
2011
Scattering theory for the elastic wave equation. Zbl 0714.35066
Shibata, Yoshihiro; Soga, Hideo
12
1989
On some properties of solutions to the Stokes equation in the half-space and perturbed half-space. Zbl 1129.35443
Kubo, Takayuki; Shibata, Yoshihiro
10
2004
On the global well-posedness for the compressible Navier-Stokes equations with slip boundary condition. Zbl 1337.35111
Shibata, Yoshihiro; Murata, Miho
10
2016
On the mixed problem for some quasilinear hyperbolic system with fully nonlinear boundary condition. Zbl 0689.35055
Shibata, Yoshihiro; Kikuchi, Masahiro
10
1989
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
9
2010
On strong dynamics of compressible two-component mixture flow. Zbl 1419.76541
Piasecki, Tomasz; Shibata, Yoshihiro; Zatorska, Ewelina
9
2019
On the \(\mathcal{R}\)-boundedness for the two phase problem with phase transition: compressible-incompressible model problem. Zbl 1371.35366
Shibata, Yoshihiro
9
2016
A linear thermoelastic plate equation with Dirichlet boundary condition. Zbl 0880.73028
Muñoz Rivera, Jaime E.; Shibata, Yoshihiro
8
1997
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.
8
2019
On the analyticity of spectral functions for some exterior boundary value problems. Zbl 0696.35120
Iwashita, H.; Shibata, Y.
8
1988
\(\mathcal{R}\) boundedness, maximal regularity and free boundary problems for the Navier Stokes equations. Zbl 1458.76027
Shibata, Yoshihiro
8
2020
On a \(C^0\) semigroup associated with a modified Oseen equation with rotating effect. Zbl 1374.35290
Shibata, Yoshihiro
7
2010
On strong dynamics of compressible nematic liquid crystals. Zbl 1328.35181
Schade, Katharina; Shibata, Yoshihiro
7
2015
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
7
2011
Uniform estimates in the velocity at infinity for stationary solutions to the Navier-Stokes exterior problem. Zbl 1152.35459
Shibata, Yoshihiro; Yamazaki, Masao
7
2005
On the Neumann problem for some linear hyperbolic systems of second order. Zbl 0674.35056
Shibata, Yoshihiro
7
1988
On the \(\mathcal{R}\)-boundedness for the two phase problem: compressible-incompressible model problem. Zbl 1304.35556
Kubo, Takayuki; Shibata, Yoshihiro; Soga, Kohei
7
2014
On the local wellposedness of free boundary problem for the Navier-Stokes equations in an exterior domain. Zbl 1397.35179
Shibata, Yoshihiro
7
2018
On the maximal \(L_{p}-L_{q}\) regularity of solutions to a general linear parabolic system. Zbl 1430.35113
Piasecki, Tomasz; Shibata, Yoshihiro; Zatorska, Ewelina
6
2020
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
6
2004
\(L_p\)-\(L_q\) maximal regularity and viscous incompressible flows with free surface. Zbl 1188.35139
Shibata, Yoshihiro; Shimizu, Senjo
6
2005
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.
6
2009
On the global well-posedness of some free boundary problem for a compressible barotropic viscous fluid flow. Zbl 1349.35304
Shibata, Yoshihiro
6
2016
On the global well-posedness of strong dynamics of incompressible nematic liquid crystals in \(\mathbb R^N\). Zbl 1367.35128
Schonbek, Maria; Shibata, Yoshihiro
6
2017
The global well-posedness for the compressible fluid model of Korteweg type. Zbl 1455.35202
Murata, Miho; Shibata, Yoshihiro
6
2020
On the Stokes and Navier-Stokes equations in a perturbed half-space. Zbl 1105.35079
Kubo, Takayuki; Shibata, Yoshihiro
5
2005
On the \(L_{p}\) analytic semigroup associated with the linear thermoelastic plate equations in the half-space. Zbl 1184.35062
Naito, Yuka; Shibata, Yoshihiro
5
2009
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
5
2014
Decay properties of the Stokes semigroup in exterior domains with Neumann boundary condition. Zbl 1124.35058
Shibata, Yoshihiro; Shimizu, Senjo
5
2007
On the Neumann problem for some linear hyperbolic systems of 2nd order with coefficients in Sobolev spaces. Zbl 0706.35082
Shibata, Yoshihiro
5
1989
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
5
2016
Free boundary problems for a viscous incompressible fluid. Zbl 1122.35100
Shibata, Yoshihiro; Shimizu, Senjo
5
2007
Local well-posedness of free surface problems for the Navier-Stokes equations in a general domain. Zbl 1419.35256
Shibata, Yoshihiro
4
2016
Neumann problem for one-dimensional nonlinear thermoeleasticity. Zbl 0802.35147
Shibata, Yoshihiro
4
1992
Global in time existence of smooth solutions of nonlinear thermoviscoelastic equations. Zbl 0836.35156
Shibata, Yoshihiro
4
1995
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
4
2018
A characterization of the hyperbolic mixed problems in a quarter space for differential operators with constant coefficients. Zbl 0426.35023
Shibata, Yoshihiro
4
1979
Maximal regularity for the thermoelastic plate equations with free boundary conditions. Zbl 1366.35073
Denk, Robert; Shibata, Yoshihiro
4
2017
Global existence theorem for nonlinear wave equation in exterior domain. Zbl 0569.35055
Shibata, Yoshihiro; Tsutsumi, Yoshio
4
1984
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
4
2016
The \(L^p\) energy methods and decay for the compressible Navier-Stokes equations with capillarity. Zbl 1480.76098
Kawashima, Shuichi; Shibata, Yoshihiro; Xu, Jiang
4
2021
On one-dimensional nonlinear thermoelasticity. Zbl 0799.73018
Shibata, Y.
3
1992
On a global existence theorem of Neumann problem for some quasi-linear hyperbolic equations. Zbl 0653.35059
Shibata, Yoshihiro; Tsutsumi, Yoshio
3
1985
Global well-posedness of unsteady motion of viscous incompressible capillary liquid bounded by a free surface. Zbl 1405.35259
Shibata, Yoshihiro
3
2018
Global well-posedness and decay for a \(\mathbb{Q}\) tensor model of incompressible nematic liquid crystals in \(\mathbb{R}^N\). Zbl 1406.35299
Schonbek, Maria; Shibata, Yoshihiro
3
2019
On a local existence theorem of Neumann problem for some quasi-linear hyperbolic equations. Zbl 0701.35105
Shibata, Y.
3
1988
On the Stokes equation with Neumann boundary condition. Zbl 1100.35081
Shibata, Yoshihiro; Shimizu, Senjo
2
2005
On the strong well-posedness of quasilinear hyperbolic initial-boundary value problems. Zbl 0846.35076
Milani, Albert; Shibata, Yoshihiro
2
1995
Mathematical analysis of the Navier-Stokes equations. Lecture notes given at the CIME school on mathematical analysis of the Navier-Stokes equations: foundations and overview of basic open problems, Cetraro, Italy, September 4–8, 2017. Zbl 1443.35002
2
2020
\(L_p\)-\(L_q\) maximal regularity of the Neumann problem for the Stokes equations in a bounded domain. Zbl 1141.35344
Shibata, Yoshihiro; Shimizu, Senjo
2
2006
Local existence of \(C^{\infty}\)-solution for the initial-boundary value problem of fully nonlinear wave equation. Zbl 0567.35061
Shibata, Yoshihiro; Tsutsumi, Yoshio
2
1984
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
2
1989
A stability theorem of the Navier-Stokes flow past a rotating body. Zbl 1154.35422
Shibata, Yoshihiro
2
2008
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
1
2016
Dissipative structure for symmetric hyperbolic-parabolic systems with Korteweg-type dispersion. Zbl 1484.35157
Kawashima, Shuichi; Shibata, Yoshihiro; Xu, Jiang
1
2022
On the maximal \(L_p\)-\(L_q\) regularity theorem for the linearized electro-magnetic field equations with interface conditions. Zbl 07482915
Frolova, E.; Shibata, Y.
1
2022
The \(L^p\) energy methods and decay for the compressible Navier-Stokes equations with capillarity. Zbl 1480.76098
Kawashima, Shuichi; Shibata, Yoshihiro; Xu, Jiang
4
2021
\(\mathcal{R}\) boundedness, maximal regularity and free boundary problems for the Navier Stokes equations. Zbl 1458.76027
Shibata, Yoshihiro
8
2020
On the maximal \(L_{p}-L_{q}\) regularity of solutions to a general linear parabolic system. Zbl 1430.35113
Piasecki, Tomasz; Shibata, Yoshihiro; Zatorska, Ewelina
6
2020
The global well-posedness for the compressible fluid model of Korteweg type. Zbl 1455.35202
Murata, Miho; Shibata, Yoshihiro
6
2020
Mathematical analysis of the Navier-Stokes equations. Lecture notes given at the CIME school on mathematical analysis of the Navier-Stokes equations: foundations and overview of basic open problems, Cetraro, Italy, September 4–8, 2017. Zbl 1443.35002
2
2020
Some free boundary problem for two-phase inhomogeneous incompressible flows. Zbl 1453.35140
Saito, Hirokazu; Shibata, Yoshihiro; Zhang, Xin
1
2020
On strong dynamics of compressible two-component mixture flow. Zbl 1419.76541
Piasecki, Tomasz; Shibata, Yoshihiro; Zatorska, Ewelina
9
2019
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.
8
2019
Global well-posedness and decay for a \(\mathbb{Q}\) tensor model of incompressible nematic liquid crystals in \(\mathbb{R}^N\). Zbl 1406.35299
Schonbek, Maria; Shibata, Yoshihiro
3
2019
On the local wellposedness of free boundary problem for the Navier-Stokes equations in an exterior domain. Zbl 1397.35179
Shibata, Yoshihiro
7
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
4
2018
Global well-posedness of unsteady motion of viscous incompressible capillary liquid bounded by a free surface. Zbl 1405.35259
Shibata, Yoshihiro
3
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
6
2017
Maximal regularity for the thermoelastic plate equations with free boundary conditions. Zbl 1366.35073
Denk, Robert; Shibata, Yoshihiro
4
2017
On the global well-posedness for the compressible Navier-Stokes equations with slip boundary condition. Zbl 1337.35111
Shibata, Yoshihiro; Murata, Miho
10
2016
On the \(\mathcal{R}\)-boundedness for the two phase problem with phase transition: compressible-incompressible model problem. Zbl 1371.35366
Shibata, Yoshihiro
9
2016
On the global well-posedness of some free boundary problem for a compressible barotropic viscous fluid flow. Zbl 1349.35304
Shibata, Yoshihiro
6
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
5
2016
Local well-posedness of free surface problems for the Navier-Stokes equations in a general domain. Zbl 1419.35256
Shibata, Yoshihiro
4
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
4
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
1
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
14
2015
On strong dynamics of compressible nematic liquid crystals. Zbl 1328.35181
Schade, Katharina; Shibata, Yoshihiro
7
2015
On the \(\mathcal {R}\)-boundedness of solution operators for the Stokes equations with free boundary condition. Zbl 1324.35151
Shibata, Yoshihiro
13
2014
On some free boundary problem for a compressible barotropic viscous fluid flow. Zbl 1321.35264
Enomoto, Yuko; von Below, Lorenz; Shibata, Yoshihiro
13
2014
On the \(\mathcal{R}\)-boundedness for the two phase problem: compressible-incompressible model problem. Zbl 1304.35556
Kubo, Takayuki; Shibata, Yoshihiro; Soga, Kohei
7
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
5
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
35
2013
Generalized resolvent estimates of the Stokes equations with first order boundary condition in a general domain. Zbl 1278.35202
Shibata, Yoshihiro
14
2013
Global existence results for Oldroyd-B fluids in exterior domains. Zbl 1234.35195
Hieber, Matthias; Naito, Yuka; Shibata, Yoshihiro
27
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
22
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
13
2012
On some decay properties of Stokes semigroup of compressible viscous fluid flow in a 2-dimensional exterior domain. Zbl 1239.35122
Enomoto, Yuko; Shibata, Yoshihiro
1
2012
Maximal \(L_{p}\)-\(L_{q}\) regularity for the two-phase Stokes equations; model problems. Zbl 1230.35089
Shibata, Yoshihiro; Shimizu, Senjo
12
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
7
2011
The Fujita-Kato approach to the Navier-Stokes equations in the rotational framework. Zbl 1190.35175
Hieber, Matthias; Shibata, Yoshihiro
33
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
9
2010
On a \(C^0\) semigroup associated with a modified Oseen equation with rotating effect. Zbl 1374.35290
Shibata, Yoshihiro
7
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
41
2009
\(L_p\) theory for the linear thermoelastic plate equations in bounded and exterior domains. Zbl 1182.35034
Denk, Robert; Racke, Reinhard; Shibata, Yoshihiro
13
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.
6
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
5
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
41
2008
On the Oseen semigroup with rotating effect. Zbl 1165.35039
Shibata, Yoshihiro
14
2008
A stability theorem of the Navier-Stokes flow past a rotating body. Zbl 1154.35422
Shibata, Yoshihiro
2
2008
Rate of convergence of non-stationary flow to the steady flow of compressible viscous fluid. Zbl 1122.76077
Shibata, Yoshihiro; Tanaka, Koumei
25
2007
On a generalized resolvent estimate for the Stokes system with Robin boundary condition. Zbl 1127.35043
Shibata, Yoshihiro; Shimada, Rieko
22
2007
On a free boundary problem for the Navier-Stokes equations. Zbl 1212.35353
Shibata, Yoshihiro; Shimizu, Senjo
21
2007
Decay properties of the Stokes semigroup in exterior domains with Neumann boundary condition. Zbl 1124.35058
Shibata, Yoshihiro; Shimizu, Senjo
5
2007
Free boundary problems for a viscous incompressible fluid. Zbl 1122.35100
Shibata, Yoshihiro; Shimizu, Senjo
5
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
2
2006
On a stability theorem of the Navier-Stokes equation in an exterior domain. Zbl 1104.35030
Enomoto, Yuko; Shibata, Yoshihiro
1
2006
A stokes approximation of two dimensional exterior Oseen flow near the boundary. Zbl 1137.35413
Okamura, Mitsuhiro; Shibata, Yoshihiro; Yamaguchi, Norikazu
1
2006
On the Stokes equation with Robin boundary condition. Zbl 1187.35160
Shibata, Yoshihiro; Shimada, Rieko
1
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
27
2005
Uniform estimates in the velocity at infinity for stationary solutions to the Navier-Stokes exterior problem. Zbl 1152.35459
Shibata, Yoshihiro; Yamazaki, Masao
7
2005
\(L_p\)-\(L_q\) maximal regularity and viscous incompressible flows with free surface. Zbl 1188.35139
Shibata, Yoshihiro; Shimizu, Senjo
6
2005
On the Stokes and Navier-Stokes equations in a perturbed half-space. Zbl 1105.35079
Kubo, Takayuki; Shibata, Yoshihiro
5
2005
On the Stokes equation with Neumann boundary condition. Zbl 1100.35081
Shibata, Yoshihiro; Shimizu, Senjo
2
2005
Local energy decay of solutions to the Oseen equation in the exterior domains. Zbl 1088.35048
Enomoto, Yuko; Shibata, Yoshihiro
20
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
13
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
10
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
6
2004
On the steady flow of compressible viscous fluid and its stability with respect to initial disturbance. Zbl 1051.76058
Shibata, Yoshihiro; Tanaka, Koumei
28
2003
On a resolvent estimate for the Stokes system with Neumann boundary condition. Zbl 1054.35056
Shibata, Yoshihiro; Shimizu, Senjo
16
2003
On a resolvent estimate of the interface problem for the Stokes system in a bounded domain. Zbl 1030.35134
Shibata, Yoshihiro; Shimizu, Senjo
15
2003
On a resolvent estimate of the Stokes equation on an infinite layer. II: \( \lambda=0\) case. Zbl 1162.76328
Abe, T.; Shibata, Y.
13
2003
On a resolvent estimate of the Stokes equation on an infinite layer. Zbl 1048.35052
Abe, Takayuki; Shibata, Yoshihiro
12
2003
On the decay of solutions to the 2D Neumann exterior problem for the wave equation. Zbl 1160.35460
Secchi, Paolo; Shibata, Yoshihiro
1
2003
Remark on the rate of decay of solutions to linearized compressible Navier-Stokes equations. Zbl 1060.35104
Kobayashi, Takayuki; Shibata, Yoshihiro
27
2002
A decay property of the Fourier transform and its application to the Stokes problem. Zbl 1102.35300
Shibata, Yoshihiro; Shimizu, Senjo
33
2001
On the rate of decay of solutions to linear viscoelastic equation. Zbl 0947.35020
Shibata, Yoshihiro
68
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
128
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
28
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
24
1999
On an exterior initial-boundary value problem for Navier-Stokes equations. Zbl 1157.35451
Shibata, Yoshihiro
23
1999
On the Oseen equation in the three dimensional exterior domains. Zbl 0891.35114
Kobayashi, Takayuki; Shibata, Yoshihiro
37
1998
On the local energy decay approach to some fluid flow in an exterior domain. Zbl 0912.35119
Dan, Wakako; Kobayashi, Takayuki; Shibata, Yoshihiro
1
1998
On the decay estimate of the Stokes semigroup in a two-dimensional exterior domain. Zbl 0946.35061
Shibata, Y.
1
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.
23
1997
A linear thermoelastic plate equation with Dirichlet boundary condition. Zbl 0880.73028
Muñoz Rivera, Jaime E.; Shibata, Yoshihiro
8
1997
On a local energy decay of solutions of a dissipative wave equation. Zbl 0848.35070
Dan, Wakako; Shibata, Yoshihiro
21
1995
Global in time existence of smooth solutions of nonlinear thermoviscoelastic equations. Zbl 0836.35156
Shibata, Yoshihiro
4
1995
On the strong well-posedness of quasilinear hyperbolic initial-boundary value problems. Zbl 0846.35076
Milani, Albert; Shibata, Yoshihiro
2
1995
On compatible regularizing data for second order hyperbolic initial-boundary value problems. Zbl 0852.35088
Milani, Albert; Shibata, Yoshihiro
1
1995
On global solvability of nonlinear viscoelastic equations in the analytic category. Zbl 0803.35091
D’Ancona, Piero; Shibata, Yoshihiro
23
1994
On the exponential decay of the energy of a linear thermoelastic plate. Zbl 0811.73006
Shibata, Yoshihiro
12
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
36
1993
Global solvability and exponential stability in one-dimensional nonlinear thermoelasticity. Zbl 0804.35132
Racke, Reinhard; Shibata, Yoshihiro; Zheng, Songmu
21
1993
Global in time solvability of the initial boundary value problem for some nonlinear dissipative evolution equations. Zbl 0805.35077
Shibata, Yoshihiro
1
1993
Global existence and exponential stability of small solutions to nonlinear viscoelasticity. Zbl 0779.35066
Kawashima, S.; Shibata, Y.
59
1992
Neumann problem for one-dimensional nonlinear thermoeleasticity. Zbl 0802.35147
Shibata, Yoshihiro
4
1992
On one-dimensional nonlinear thermoelasticity. Zbl 0799.73018
Shibata, Y.
3
1992
Global smooth solutions and asymptotic stability in one-dimensional nonlinear thermoelasticity. Zbl 0756.73012
Racke, Reinhard; Shibata, Yoshihiro
33
1991
On some nonlinear hyperbolic systems with damping boundary conditions. Zbl 0772.35031
Shibata, Yoshihiro; Zheng, Songmu
1
1991
On a local existence theorem of Neumann problem for some quasilinear hyperbolic system of 2nd order. Zbl 0652.35077
Shibata, Yoshihiro; Nakamura, Gen
13
1989
Scattering theory for the elastic wave equation. Zbl 0714.35066
Shibata, Yoshihiro; Soga, Hideo
12
1989
On the mixed problem for some quasilinear hyperbolic system with fully nonlinear boundary condition. Zbl 0689.35055
Shibata, Yoshihiro; Kikuchi, Masahiro
10
1989
...and 19 more Documents
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Cited by 813 Authors

58 Shibata, Yoshihiro
26 Ikehata, Ryo
19 Hieber, Matthias
19 Shimizu, Senjo
15 Racke, Reinhard
14 Wang, Wenjun
13 D’Abbicco, Marcello
13 Tan, Zhong
12 Farwig, Reinhard
12 Nečasová, Šárka
11 Hishida, Toshiaki
11 Yao, Zhengan
10 Charão, Ruy Coimbra
10 Deuring, Paul
10 Muñoz Rivera, Jaime Edilberto
10 Takeda, Hiroshi
9 Fang, Daoyuan
9 Guo, Boling
9 Kagei, Yoshiyuki
9 Kobayashi, Takayuki
9 Maremonti, Paolo
9 Wang, Weike
9 Zi, Ruizhao
8 Danchin, Raphaël
8 Galdi, Giovanni Paolo
8 Kawashima, Shuichi
8 Saito, Hirokazu
8 Solonnikov, Vsevolod Alekseevich
8 Takada, Ryo
8 Xu, Jiang
8 Yamamoto, Masakazu
8 Yang, Zhijian
8 Zajączkowski, Wojciech M.
7 Denk, Robert
7 Messaoudi, Salim A.
7 Mucha, Piotr Bogusław
7 Nakao, Mitsuhiro
7 Neustupa, Jiří
7 Nguyen Thieu Huy
7 Piasecki, Tomasz
7 Prüß, Jan Wilhelm
7 Pu, Xueke
7 Taniuchi, Yasushi
7 Wu, Zhigang
6 Bae, Hyeong-Ohk
6 Geissert, Matthias
6 Giga, Yoshikazu
6 Kozono, Hideo
6 Li, Yin
6 Medková, Dagmar
6 Murata, Miho
6 Roh, Jaiok
6 Tsuda, Kazuyuki
6 Tsutsumi, Yoshio
6 Ukai, Seiji
6 Wei, Ruiying
6 Wu, Guochun
6 Yang, Tong
6 Zhang, Ting
6 Zhang, Yinghui
5 Abe, Ken
5 Abels, Helmut
5 Blokhin, Aleksandr Mikhaĭlovich
5 Chen, Wenhui
5 Duan, Renjun
5 Ebert, Marcelo Rempel
5 Jiang, Song
5 Kawashita, Mishio
5 Kubo, Takayuki
5 Lasiecka, Irena
5 Nikolić, Vanja
5 Ogawa, Takayoshi
5 Qin, Yuming
5 Reissig, Michael
5 Saal, Jürgen
5 Sogge, Christopher D.
5 Wang, Ya-Guang
5 Wang, Yanjin
5 Wen, Huanyao
5 Wilke, Mathias
5 Xi, Xiaoyu
5 Xu, Fuyi
5 Zhao, Huijiang
5 Zhu, Changjiang
4 Al Baba, Hind
4 Georgiev, Vladimir S.
4 Heck, Horst
4 Iwabuchi, Tsukasa
4 Kračmar, Stanislav
4 Kubo, Hideo
4 Li, Hailiang
4 Li, Jinkai
4 Maekawa, Yasunori
4 Metcalfe, Jason L.
4 Nakamura, Gen
4 Oliveira, Filipe A. A.
4 Said-Houari, Belkacem
4 Sun, Jinyi
4 Sun, Pengtao
4 Takahashi, Takéo
...and 713 more Authors
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Cited in 167 Serials

90 Journal of Differential Equations
60 Journal of Mathematical Analysis and Applications
51 Journal of Mathematical Fluid Mechanics
43 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
33 Archive for Rational Mechanics and Analysis
27 Journal of Evolution Equations
22 Mathematical Methods in the Applied Sciences
20 Communications in Partial Differential Equations
20 SIAM Journal on Mathematical Analysis
20 Discrete and Continuous Dynamical Systems
19 ZAMP. Zeitschrift für angewandte Mathematik und Physik
19 Communications on Pure and Applied Analysis
18 Applicable Analysis
16 Nonlinear Analysis. Real World Applications
13 Mathematische Annalen
12 Journal of the Mathematical Society of Japan
11 Proceedings of the Japan Academy. Series A
10 Journal of Mathematical Physics
10 Mathematische Zeitschrift
10 Nonlinear Analysis. Theory, Methods & Applications
9 Journal of Functional Analysis
8 Acta Applicandae Mathematicae
8 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
8 Acta Mathematica Scientia. Series B. (English Edition)
7 Communications in Mathematical Physics
7 Journal of Hyperbolic Differential Equations
7 Discrete and Continuous Dynamical Systems. Series S
7 Evolution Equations and Control Theory
6 Nonlinearity
6 Mathematische Nachrichten
6 Transactions of the American Mathematical Society
6 Journal de Mathématiques Pures et Appliquées. Neuvième Série
6 NoDEA. Nonlinear Differential Equations and Applications
6 Boundary Value Problems
5 Manuscripta Mathematica
5 Zeitschrift für Analysis und ihre Anwendungen
5 Chinese Annals of Mathematics. Series B
5 Asymptotic Analysis
5 St. Petersburg Mathematical Journal
4 Computers & Mathematics with Applications
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Applied Mathematics and Computation
4 Applied Mathematics and Optimization
4 Journal of Computational and Applied Mathematics
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 Archiv der Mathematik
3 Czechoslovak Mathematical Journal
3 Quarterly of Applied Mathematics
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 Acta Mathematicae Applicatae Sinica. English Series
3 Journal of Dynamics and Differential Equations
3 Calculus of Variations and Partial Differential Equations
3 Journal of Mathematical Sciences (New York)
3 International Journal of Differential Equations
3 AIMS Mathematics
3 SN Partial Differential Equations and Applications
2 Journal of Computational Physics
2 Acta Mathematica Vietnamica
2 Advances in Mathematics
2 Indiana University Mathematics Journal
2 Journal für die Reine und Angewandte Mathematik
2 Numerische Mathematik
2 Osaka Journal of Mathematics
2 Proceedings of the American Mathematical Society
2 Physica D
2 Journal of Scientific Computing
2 Applications of Mathematics
2 Archive of Applied Mechanics
2 Topological Methods in Nonlinear Analysis
2 Journal of Inverse and Ill-Posed Problems
2 European Journal of Mechanics. B. Fluids
2 Communications in Contemporary Mathematics
2 Discrete and Continuous Dynamical Systems. Series B
2 Journal of Applied Mathematics
2 Journal of the Institute of Mathematics of Jussieu
2 Analysis and Applications (Singapore)
2 Mediterranean Journal of Mathematics
2 Complex Variables and Elliptic Equations
2 Networks and Heterogeneous Media
2 Kinetic and Related Models
2 Analysis and Mathematical Physics
2 Statistics and Computing
2 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki
2 Advances in Nonlinear Analysis
2 Journal of Function Spaces
2 Journal of Elliptic and Parabolic Equations
2 Electronic Research Archive
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
...and 67 more Serials

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