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On the inviscid limit of the system "viscous incompressible fluid + rigid body" with the Navier conditions
inviscid limit of the system viscous incompressible fluid Navier conditions Analysis of PDEs
2012/6/6
In this paper we consider the inviscid limit for the system "viscous incompressible fluid + rigid body" in $\R^{3}$ when some Navier slip conditions are prescribed on the body's boundary. We prove the...
On the rate of convergence to equilibrium for a non-isothermal viscous Cahn-Hilliard equation
Partial differential equation Cahn-Hilliard equation Maxwell-Cattaneo's law convergence rate
2011/10/14
In this short note, a model describing non-isothermal fast phase separation processes taking place in a three-dimensional bounded domain is considered. The model consists of a viscous Cahn-Hilliard eq...
A Blow-up Criterion for Two Dimensional Compressible Viscous Heat-Conductive Flows
Blow-up Criterion Two Dimensional Compressible Viscous Heat-Conductive Flows Analysis of PDEs
2011/9/19
Abstract: We establish a blow-up criterion in terms of the upper bound of the density and temperature for the strong solution to 2D compressible viscous heat-conductive flows. The initial vacuum is al...
Well-posedness for a multi-dimensional viscous gas-liquid two-phase flow model
Compressible gas-liquid two-phase flow model global well-posedness local well-posedness Besov spaces
2011/9/16
Abstract: The Cauchy problem of a multi-dimensional ($d\geqslant 2$) compressible viscous gas-liquid two-phase flow model is concerned in this paper. We investigate the global existence and uniqueness...
Consider a viscous fluid of finite depth below the air. In the absence of the surface tension effect at the air-fluid interface, the long time behavior of a free surface with small amplitude has been ...
Vanishing viscosity limit for viscous magnetohydrodynamic equations with a slip boundary condition
Magnetohydrodynamic system lip boundary condition vanishing viscosity limit
2010/12/1
We consider the evolutionary MHD systems, and study the the regularity and vanishing viscosity limit of the 3-D viscous system in a class of bounded domains with a slip boundary condition. We derive t...
The exact controllability of the movement of homogeneous incompressible viscous fluid in an infinite cylinder
Exact controllability Hilbert space
2010/9/13
In the present work we propose to study the movement of a steady density of an incompressible viscous fluid in a cylindrical domain to control the external boundary. This movement with axial symmetry,...
Analytic solution of liquid flow in rectangular PDMS-GLASS microchannel with wall slip and electro-viscous effects
Microchannel Electric double layer Wall slip
2010/9/15
In microfluidic system flow slip velocity on solid wall can be the same order of magnitude as the characteristic velocity in microchannel. This paper presents an analytic solution of pressure-driven l...
Remarks on self-similar solutions to the compressible Navier-Stokes equations of a 1D viscous polytropic ideal gas
self-similar solutions Navier-Stokes equations viscous polytropic gas
2010/9/13
This paper is concerned with the self-similar solutions to the compressible Navier-Stokes equations of a 1D viscous polytropic ideal gas. Our results show that there exist neither forward nor backward...
THE APPROXIMATIONS OF THE EXACT BOUNDARY CONDITION AT AN ARTIFICIALBOUNDARY FOR LINEARIZED INCOMPRESSIBLE VISCOUS FLOWS
Oseen equations Artificial boundary Artificial boundary condition Finite element approximation Error estimate
2007/12/12
We consider the linearized incompressible Navier-Stokes (Oseen)
equations in a flat channel. A sequence of approximations to the exact
boundary condition at an artificial boundary is derived. Then t...
Construction of Solutions and L^1-error Estimates of Viscous Methods for Scalar Conservation Laws with Boundary
scalar conservation laws initial boundary value problem global weak entropy solution error estimate of viscous methods
2007/12/11
This paper is concerned with an initial boundary value problem for strictly convex conservation laws whose weak entropy solution is in the piecewise smooth solution class consisting of finitely many d...
ON THE OUTER PRESSURE PROBLEM OF A VISCOUS HEAT-CONDUCTIVE ONE-DIMENSIONAL REAL GAS
Out pressure problem real gas
2007/12/10
We consider the outer pressure problem of the viscous heat-conductive, one-dimensional real gas, and prove the existence of globally defined smooth (large) solutions.
The Eulerian description of an incompressible viscous uid of constant density and temperature is concerned with the uid velocity u(x; t) and pressurep(x; t) recorded at xed positions x 2 Rn, n = 3 as...