On the local wellposedness of free boundary problem for the Navier-Stokes equations in an exterior domain
type: Item
instance of: scholarly article
title: On the local wellposedness of free boundary problem for the Navier-Stokes equations in an exterior domain
zbMATH Open document ID: 1397.35179
author: Yoshihiro Shibata
published in: Communications on Pure and Applied Analysis
publication date: 2018-08-22T00:00:00Z
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 76D03
zbMATH DE Number: 6923394
zbMATH Keywords: exterior domains
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: free boundary problem
zbMATH Keywords: without surface tension
zbMATH Keywords: local well-posedness
zbMATH Keywords: maximal \(L_p-L_q\) regularity
zbMATH Keywords: weak Dirichet problem
MaRDI profile type: Publication
full work available at URL: cpaa.2018081
OpenAlex ID: W2795485882
cites work: The initial-value problem for the Navier-Stokes equations with a free surface in \(L^q\)-Sobolev spaces
cites work: Q4327845
cites work: The initial value problem for the navier-stokes equations with a free surface
cites work: Large-time regularity of viscous surface waves
cites work: Q3783708
cites work: $L_p$-Theory for a Class of Non-Newtonian Fluids
cites work: Q5591751
cites work: On the $\mathcal{R}$-Sectoriality and the Initial Boundary Value Problem for the Viscous Compressible Fluid Flow
cites work: An Introduction to the Mathematical Theory of the Navier-Stokes Equations
cites work: Decaying solution of the Navier-Stokes flow of infinite volume without surface tension
cites work: Q4914679
cites work: Q3049260
cites work: Q3944199
cites work: On the existence for the Cauchy-Neumann problem for the Stokes system in the $L_p$-framework
cites work: Equations of fluid dynamics—free surface problems
cites work: Moving Interfaces and Quasilinear Parabolic Evolution Equations
cites work: Q4893982
cites work: On the global well-posedness of strong dynamics of incompressible nematic liquid crystals in \(\mathbb R^N\)
cites work: On the \(\mathcal {R}\)-boundedness of solution operators for the Stokes equations with free boundary condition.
cites work: On some free boundary problem of the Navier-Stokes equations in the maximal \(L_p - L_q\) regularity class
cites work: On the $${\mathscr {R}}$$ R -Bounded Solution Operator and the Maximal $$L_p$$ L p - $$L_q$$ L q Regularity of the Stokes Equations With Free Boundary Condition
cites work: Global well-posedness of unsteady motion of viscous incompressible capillary liquid bounded by a free surface
cites work: On the L p - L q decay estimate for the Stokes equations with free boundary conditions in an exterior domain
cites work: On a resolvent estimate for the Stokes system with Neumann boundary condition.
cites work: Decay properties of the Stokes semigroup in exterior domains with Neumann boundary condition
cites work: On the Lp-Lq maximal regularity of the Neumann problem for the Stokes equations in a bounded domain
cites work: Q5283924
cites work: ON THE TRANSIENT MOTION OF AN ISOLATED VOLUME OF VISCOUS INCOMPRESSIBLE FLUID
cites work: Unsteady motion of a finite mass of fluid, bounded by a free surface
cites work: Navier-Stokes equations with first order boundary conditions
cites work: Q5687543
cites work: Global existence of two phase nonhomogeneous viscous incompbessible fluid flow
cites work: Small-time existence for the three-dimensional Navier-Stokes equations for an incompressible fluid with a free surface
cites work: Large-time existence of surface waves in incompressible viscous fluids with or without surface tension
cites work: Operator-valued Fourier multiplier theorems and maximal \(L_p\)-regularity
DOI: 10.3934/CPAA.2018081
description: scientific article; zbMATH DE number 6923394