The Work of Yoshihiro Shibata

DOI10.1007/978-3-0348-0939-9_1zbMath1337.01007OpenAlexW2486314544MaRDI QIDQ2806201

Yoshikazu Giga, Hisashi Okamoto, Hideo Kozono, Masaso Yamazaki, Herbert Amann

Publication date: 17 May 2016

Published in: Recent Developments of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0939-9_1

Mathematics Subject Classification ID

Biographies, obituaries, personalia, bibliographies (01A70) History of mechanics of deformable solids (74-03) History of partial differential equations (35-03)

Related Items (1)

On the asymptotic stability of steady flows with nonzero flux in two-dimensional exterior domains

Cites Work

ℛ-boundedness, Fourier multipliers and problems of elliptic and parabolic type
On an exterior initial-boundary value problem for Navier-Stokes equations
On a C 0 Semigroup Associated with a Modified Oseen Equation with Rotating Effect
On a resolvent problem for the linearized system from the dynamical system describing the compressible viscous fluid motion
Global in time existence of small solutions of non‐linear thermoviscoelastic equations
On the ℛ-boundedness of the solution operators in the study of the compressible viscous fluid flow with free boundary conditions
On the $\mathcal{R}$-Sectoriality and the Initial Boundary Value Problem for the Viscous Compressible Fluid Flow
On the Lp-Lq maximal regularity of the Neumann problem for the Stokes equations in a bounded domain
ON THE ANALYTICAL PROPERTIES OF THE RESOLVENT FOR A CERTAIN CLASS OF OPERATOR-PENCILS
Local energy decay of solutions to the Oseen equation in the exterior domains
Operator-valued Fourier multiplier theorems and maximal $L_p$-regularity
A decay property of the Fourier transform and its application to the Stokes problem
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On some decay properties of Stokes semigroup of compressible viscous fluid flow in a 2-dimensional exterior domain
On the maximal $L_{p}$-$L_{q}$ regularity of the Stokes problem with first order boundary condition; model problems
On some free boundary problem for a compressible barotropic viscous fluid flow
On the $\mathcal{R}$-boundedness for the two phase problem: compressible-incompressible model problem
On decay properties of solutions to the Stokes equations with surface tension and gravity in the half space
Maximal $L_{p}$-$L_{q}$ regularity for the two-phase Stokes equations; model problems
On the mixed problem for some quasilinear hyperbolic system with fully nonlinear boundary condition
On the global existence of classical solutions of second order fully nonlinear hyperbolic equations with first order dissipation in the exterior domain
On a free boundary problem for the Navier-Stokes equations.
Low frequency expansion in thermoelasticity with second sound in three dimensions
Scattering theory for the elastic wave equation
Initial boundary value problems for the equations of motion of compressible viscous and heat-conductive fluids
Strong $L^ p$-solutions of the Navier-Stokes equation in $R^ m$, with applications to weak solutions
On the rate of decay of the Oseen semigroup in exterior domains and its application to Navier-Stokes equation
$L_{p}-L_{q}$ estimate of the Stokes operator and Navier-Stokes flows in the exterior of a rotating obstacle
Local energy decay estimate of solutions to the thermoelastic plate equations in two- and three-dimensional exterior domains
Decay properties of the Stokes semigroup in exterior domains with Neumann boundary condition
On the Neumann problem for some linear hyperbolic systems of 2nd order with coefficients in Sobolev spaces
Whispering gallery waves in a neighborhood of a higher order zero of the curvature of the boundary
$L_p$-$L_q$ maximal regularity and viscous incompressible flows with free surface
The Fujita-Kato approach to the Navier-Stokes equations in the rotational framework
$L_p$ theory for the linear thermoelastic plate equations in bounded and exterior domains
On the $L_{p}$ analytic semigroup associated with the linear thermoelastic plate equations in the half-space
Global existence theorem for nonlinear wave equation in exterior domain
Local existence of $C^{\infty}$-solution for the initial-boundary value problem of fully nonlinear wave equation
On a global existence theorem of small amplitude solutions for nonlinear wave equations in an exterior domain
On a local existence theorem for quasilinear hyperbolic mixed problems with Neumann type boundary conditions
On a local existence theorem of Neumann problem for some quasilinear hyperbolic system of 2nd order
$L_ q-L_ r$ estimates for solutions of the nonstationary Stokes equation in an exterior domain and the Navier-Stokes initial value problems in $L_ q$ spaces
On the Neumann problem for some linear hyperbolic systems of second order
A characterization of the hyperbolic mixed problems in a quarter space for differential operators with constant coefficients
Liouville type theorem for a system $\{P(D),B_j(D),j=1,\dots ,p\}$ of differential operators with constant coefficients in a half space
delta-well posedness of mixed initial-boundary value problems with constant coefficients in a quarter space
E-well posedness of mixed initial-boundary value problem with constant coefficients in a quarter space. II
Global smooth solutions and asymptotic stability in one-dimensional nonlinear thermoelasticity
Global existence and exponential stability of small solutions to nonlinear viscoelasticity
Lower bounds at infinity of solutions of partial differential equations in the exterior of a proper cone
Decay estimates of solutions for the equations of motion of compressible viscous and heat-conductive gases in an exterior domain in $\mathbb{R}^3$
On the $L_q-L_r$ estimates of the Stokes semigroup in a two-dimensional exterior domain
On a global in time existence theorem of smooth solutions to a nonlinear wave equation with viscosity
On the exponential decay of the energy of a linear thermoelastic plate
On the Oseen equation in the three dimensional exterior domains
On the global existence and convergence to steady state of Navier-Stokes flow past an obstacle that is started from rest
On a resolvent estimate of the Stokes equation on an infinite layer.
On a resolvent estimate of the interface problem for the Stokes system in a bounded domain
On a resolvent estimate of the Stokes equation on an infinite layer. II: $ \lambda=0$ case
On the steady flow of compressible viscous fluid and its stability with respect to initial disturbance.
On the decay of solutions to the 2D Neumann exterior problem for the wave equation.
On a resolvent estimate for the Stokes system with Neumann boundary condition.
Remark on the $L_q-L_\infty$ estimate of the Stokes semigroup in a 2-dimensional exterior domain
Remark on the rate of decay of solutions to linearized compressible Navier-Stokes equations.
On compatible regularizing data for second order hyperbolic initial-boundary value problems
On well-posedness of incompressible two-phase flows with phase transitions: the case of equal densities
Generalized resolvent estimates of the Stokes equations with first order boundary condition in a general domain
On the $\mathcal {R}$-boundedness of solution operators for the Stokes equations with free boundary condition.
On some free boundary problem of the Navier-Stokes equations in the maximal $L_p - L_q$ regularity class
On a generalized resolvent estimate for the Stokes system with Robin boundary condition
On the Navier-Stokes initial value problem. I
Rate of convergence of non-stationary flow to the steady flow of compressible viscous fluid
On an $L_{p}$ approach to the stationary and nonstationary problems of the Ginzburg-Landau-Maxwell equations
On the Stokes and Navier-Stokes equations in a perturbed half-space
Mixed problems for hyperbolic equations. I: Energy inequalities
On the nonstationary Navier-Stokes systems
On the $\mathcal R$-Boundedness for the Two Phase Problem with Phase Transition: Compressible-Incompressible Model Problem
Report on a local in time solvability of free surface problems for the Navier–Stokes equations with surface tension
About Compressible Viscous Fluid Flow in a 2-dimensional Exterior Domain
On the global well-posedness of some free boundary problem for a compressible barotropic viscous fluid flow
On a Resolvent Estimate of a System of Laplace Operators with Perfect Wall Condition
On a resolvent estimate of the Stokes system in a half space arising from a free boundary problem for the Navier-Stokes equations
Local existence of solution for the initial boundary value problem of fully nonlinear wave equation
On a Global Existence Theorem of Neumann Problem for Some Quasi-Linear Hyperbolic Equations
On some nonlinear hyperbolic systems with damping boundary conditions
ON THE SHORT WAVE ASYMPTOTIC BEHAVIOUR OF SOLUTIONS OF STATIONARY PROBLEMS AND THE ASYMPTOTIC BEHAVIOUR ASt→ ∞ OF SOLUTIONS OF NON-STATIONARY PROBLEMS
Global solvability and exponential stability in one-dimensional nonlinear thermoelasticity
On global solvability of non‐linear viscoelastic equations in the analytic category

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