The Work of Yoshihiro Shibata (Q2806201)

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English	The Work of Yoshihiro Shibata	scientific article

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scholarly article

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The Work of Yoshihiro Shibata (English)

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Hisashi Okamoto

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Masaso Yamazaki

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Recent Developments of Mathematical Fluid Mechanics

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publication date

17 May 2016

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/978-3-0348-0939-9_1

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ℛ-boundedness, Fourier multipliers and problems of elliptic and parabolic type

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On the Navier-Stokes initial value problem. I

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Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions

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On the nonstationary Navier-Stokes systems

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\(L_ q-L_ r\) estimates for solutions of the nonstationary Stokes equation in an exterior domain and the Navier-Stokes initial value problems in \(L_ q\) spaces

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Initial boundary value problems for the equations of motion of compressible viscous and heat-conductive fluids

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Mixed problems for hyperbolic equations. I: Energy inequalities

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ON THE ANALYTICAL PROPERTIES OF THE RESOLVENT FOR A CERTAIN CLASS OF OPERATOR-PENCILS

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ON THE SHORT WAVE ASYMPTOTIC BEHAVIOUR OF SOLUTIONS OF STATIONARY PROBLEMS AND THE ASYMPTOTIC BEHAVIOUR AS<i>t</i>→ ∞ OF SOLUTIONS OF NON-STATIONARY PROBLEMS

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Operator-valued Fourier multiplier theorems and maximal \(L_p\)-regularity

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On a resolvent estimate of the Stokes equation on an infinite layer. II: \( \lambda=0\) case

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On a resolvent estimate of the Stokes equation on an infinite layer.

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On a Resolvent Estimate of a System of Laplace Operators with Perfect Wall Condition

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On an \(L_{p}\) approach to the stationary and nonstationary problems of the Ginzburg-Landau-Maxwell equations

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On global solvability of non‐linear viscoelastic equations in the analytic category

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On the \(L_q-L_r\) estimates of the Stokes semigroup in a two-dimensional exterior domain

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Remark on the \(L_q-L_\infty\) estimate of the Stokes semigroup in a 2-dimensional exterior domain

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\(L_p\) theory for the linear thermoelastic plate equations in bounded and exterior domains

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Local energy decay estimate of solutions to the thermoelastic plate equations in two- and three-dimensional exterior domains

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Local energy decay of solutions to the Oseen equation in the exterior domains

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On the rate of decay of the Oseen semigroup in exterior domains and its application to Navier-Stokes equation

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On some decay properties of Stokes semigroup of compressible viscous fluid flow in a 2-dimensional exterior domain

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About Compressible Viscous Fluid Flow in a 2-dimensional Exterior Domain

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On the $\mathcal{R}$-Sectoriality and the Initial Boundary Value Problem for the Viscous Compressible Fluid Flow

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On some free boundary problem for a compressible barotropic viscous fluid flow

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On the global existence and convergence to steady state of Navier-Stokes flow past an obstacle that is started from rest

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On the ℛ-boundedness of the solution operators in the study of the compressible viscous fluid flow with free boundary conditions

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\(L_{p}-L_{q}\) estimate of the Stokes operator and Navier-Stokes flows in the exterior of a rotating obstacle

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The Fujita-Kato approach to the Navier-Stokes equations in the rotational framework

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Global existence and exponential stability of small solutions to nonlinear viscoelasticity

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On the mixed problem for some quasilinear hyperbolic system with fully nonlinear boundary condition

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On a global in time existence theorem of smooth solutions to a nonlinear wave equation with viscosity

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On the Oseen equation in the three dimensional exterior domains

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Decay estimates of solutions for the equations of motion of compressible viscous and heat-conductive gases in an exterior domain in \(\mathbb{R}^3\)

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Remark on the rate of decay of solutions to linearized compressible Navier-Stokes equations.

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On the Stokes and Navier-Stokes equations in a perturbed half-space

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On the \(\mathcal{R}\)-boundedness for the two phase problem: compressible-incompressible model problem

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On well-posedness of incompressible two-phase flows with phase transitions: the case of equal densities

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On compatible regularizing data for second order hyperbolic initial-boundary value problems

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Lower bounds at infinity of solutions of partial differential equations in the exterior of a proper cone

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On the \(L_{p}\) analytic semigroup associated with the linear thermoelastic plate equations in the half-space

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Low frequency expansion in thermoelasticity with second sound in three dimensions

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On a local existence theorem for quasilinear hyperbolic mixed problems with Neumann type boundary conditions

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Whispering gallery waves in a neighborhood of a higher order zero of the curvature of the boundary

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On a local existence theorem of Neumann problem for some quasilinear hyperbolic system of 2nd order

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Global smooth solutions and asymptotic stability in one-dimensional nonlinear thermoelasticity

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Global solvability and exponential stability in one-dimensional nonlinear thermoelasticity

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On decay properties of solutions to the Stokes equations with surface tension and gravity in the half space

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A characterization of the hyperbolic mixed problems in a quarter space for differential operators with constant coefficients

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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

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delta-well posedness of mixed initial-boundary value problems with constant coefficients in a quarter space

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E-well posedness of mixed initial-boundary value problem with constant coefficients in a quarter space. II

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On the global existence of classical solutions of second order fully nonlinear hyperbolic equations with first order dissipation in the exterior domain

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On the Neumann problem for some linear hyperbolic systems of second order

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On the Neumann problem for some linear hyperbolic systems of 2nd order with coefficients in Sobolev spaces

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On the exponential decay of the energy of a linear thermoelastic plate

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Global in time existence of small solutions of non‐linear thermoviscoelastic equations

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On an exterior initial-boundary value problem for Navier-Stokes equations

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On a C 0 Semigroup Associated with a Modified Oseen Equation with Rotating Effect

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Generalized resolvent estimates of the Stokes equations with first order boundary condition in a general domain

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On the \(\mathcal {R}\)-boundedness of solution operators for the Stokes equations with free boundary condition.

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On some free boundary problem of the Navier-Stokes equations in the maximal \(L_p - L_q\) regularity class

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On the global well-posedness of some free boundary problem for a compressible barotropic viscous fluid flow

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On the $\mathcal R$-Boundedness for the Two Phase Problem with Phase Transition: Compressible-Incompressible Model Problem

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On some nonlinear hyperbolic systems with damping boundary conditions

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Global existence theorem for nonlinear wave equation in exterior domain

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Local existence of \(C^{\infty}\)-solution for the initial-boundary value problem of fully nonlinear wave equation

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On a Global Existence Theorem of Neumann Problem for Some Quasi-Linear Hyperbolic Equations

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On a global existence theorem of small amplitude solutions for nonlinear wave equations in an exterior domain

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Local existence of solution for the initial boundary value problem of fully nonlinear wave equation

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A decay property of the Fourier transform and its application to the Stokes problem

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On a resolvent estimate of the interface problem for the Stokes system in a bounded domain

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On the decay of solutions to the 2D Neumann exterior problem for the wave equation.

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On a resolvent estimate for the Stokes system with Neumann boundary condition.

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\(L_p\)-\(L_q\) maximal regularity and viscous incompressible flows with free surface

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On a free boundary problem for the Navier-Stokes equations.

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Decay properties of the Stokes semigroup in exterior domains with Neumann boundary condition

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Report on a local in time solvability of free surface problems for the Navier–Stokes equations with surface tension

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Maximal \(L_{p}\)-\(L_{q}\) regularity for the two-phase Stokes equations; model problems

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On the maximal \(L_{p}\)-\(L_{q}\) regularity of the Stokes problem with first order boundary condition; model problems

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Scattering theory for the elastic wave equation

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On a resolvent problem for the linearized system from the dynamical system describing the compressible viscous fluid motion

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On the Lp-Lq maximal regularity of the Neumann problem for the Stokes equations in a bounded domain

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On the steady flow of compressible viscous fluid and its stability with respect to initial disturbance.

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On a generalized resolvent estimate for the Stokes system with Robin boundary condition

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On a resolvent estimate of the Stokes system in a half space arising from a free boundary problem for the Navier-Stokes equations

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Rate of convergence of non-stationary flow to the steady flow of compressible viscous fluid

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Identifiers

zbMATH Open document ID

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10.1007/978-3-0348-0939-9_1

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2806201

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