搜索结果: 1-15 共查到“偏微分方程 the Navier - Stokes”相关记录19条 . 查询时间(0.338 秒)
This paper is concerned with the asymptotic stability of a composite wave of two viscous shocks under spatially periodic perturbations for the 1-d full compressible Navier--Stokes equations. It is pro...
Boltzmann方程描述了“稀薄气体”的运动规律，是统计力学中的基本方程。Boltzmann方程解的整体适定性问题是偏微分方程中的核心问题。对于一般初值，美国数学家R.J. Diperna与法国数学家P.L. Lions (1994年Fields获得者) (Ann. of Math, 1989)通过弱紧性方法首次得到了Boltzmann方程的大初值重整化解的整体存在性。但是该重整化解的唯一性和正...
Inviscid limit for axisymmetric stratified Navier-Stokes system
Inviscid limit axisymmetric stratified Navier-Stokes system Analysis of PDEs
2012/6/21
This paper is devoted to the study of the Cauchy problem for the stratified Navier-Stokes system in space dimension three. In the first part of the paper, we prove the existence of a unique global sol...
Local-in-space estimates near initial time for weak solutions of the Navier-Stokes equations and forward self-similar solutions
Local-in-space estimates initial time weak solutions of the Navier-Stokes equations forward self-similar solutions Analysis of PDEs
2012/4/18
We show that the classical Cauchy problem for the incompressible 3d Navier-Stokes equations with $(-1)$-homogeneous initial data has a global scale-invariant solution which is smooth for positive time...
Global and trajectory attractors for a nonlocal Cahn-Hilliard-Navier-Stokes system
Navier-Stokes equations nonlocal Cahn-Hilliard equations incompressible binary fluids global attractors
2011/9/23
Abstract: The Cahn-Hilliard-Navier-Stokes system is based on a well-known diffuse interface model and describes the evolution of an incompressible isothermal mixture of binary fluids. A nonlocal varia...
On the existence of weak solutions to the three-dimensional steady compressible Navier-Stokes equations in bounded domains
Steady compressible Navier-Stokes equations existence for any γ > 1 weighted estimate bounded domains
2011/9/22
Abstract: We prove the existence of a weak solution to the three-dimensional steady compressible isentropic Navier-Stokes equations in bounded domains for any specific heat ratio \gamma > 1. Generally...
Sturmian Multiple Zeros for Stokes and Navier--Stokes Equations in $\re^3$ via Solenoidal Hermite Polynomials
Stokes and Navier–Stokes equations in R3 blow-up scaling solenoidal Hermite polynomials eigenfunction expansion
2011/9/9
Abstract: Multiple spatial zero formations for Stokes and Navier-Stokes equations in three dimensions are shown to occur according to nodal sets of solenoidal Hermite polynomials. Extensions to well-p...
Boundary Characteristic Point Regularity for Navier-Stokes Equations: Blow-up Scaling and Petrovskii-type Criterion (a Formal Approach)
Navier–Stokes equations in R3 backward paraboloid characteristic vertex boundary regularity blow-up scaling boundary layer
2011/9/6
Abstract: It is shown that Wiener's regularity of the vertex of a backward paraboloid for 3D Navier-Stokes equations with zero Dirichlet conditions on the paraboloid boundary is given by Petrovskii's ...
A Lagrangian approach for the incompressible Navier-Stokes equations with variable density
Inhomogeneous Navier-Stokes equations critical regularity piecewise constant density Besov spaces Lagrangian coordinates
2011/9/6
Abstract: Here we investigate the Cauchy problem for the inhomogeneous Navier-Stokes equations in the whole $n$-dimensional space. Under some smallness assumption on the data, we show the existence of...
Self-similar asymptotics of solutions to the Navier-Stokes system in two dimensional exterior domain
Self-similar asymptotics the Navier-Stokes system two dimensional exterior domain Analysis of PDEs
2011/9/1
Abstract: We consider the 2D incompressible Navier-Stokes equations with Dirichlet boundary condition in the exterior of one obstacle. Assuming that the circulation at infinity of the velocity is suff...
Green's function and large time behavior of the Navier-Stokes-Maxwell system
Navier-Stokes-Maxwell system dissipation Green’s function asymptotic stability
2011/9/1
Abstract: In this paper, we are concerned with the system of the compressible Navier-Stokes equations coupled with the Maxwell equations through the Lorentz force in three space dimensions. The asympt...
On the Local Well-posedness of a 3D Model for Incompressible Navier-Stokes Equations with Partial Viscosity
3D Model Incompressible Navier-Stokes Equations Partial Viscosity Analysis of PDEs
2011/8/31
Abstract: In this short note, we study the local well-posedness of a 3D model for incompressible Navier-Stokes equations with partial viscosity. This model was originally proposed by Hou-Lei in \cite{...
Asymptotic description of solutions of the exterior Navier Stokes problem in a half space
Asymptotic description exterior Navier Stokes problem a half space
2011/8/25
Abstract: We consider the problem of a body moving within an incompressible fluid at constant speed parallel to a wall, in an otherwise unbounded domain. This situation is modeled by the incompressibl...
The global existence of the smoothing solution for the Navier-Stokes equations
smoothing solution Poisson’s equation heat-conduct equation the Schauder fixed-point theorem
2011/8/24
Abstract: This paper discussed the global existence of the smoothing solution for the Navier-Stokes equations. At first, we construct the theory of the linear equations which is about the unknown four...
Energy stable and momentum conserving interface stabilised finite element method for the incompressible Navier-Stokes equations
Finite element method stabilised finite element methods
2011/3/3
An interface stabilised finite element method for the incompressible Navier-Stokes
equations is presented. The method inherits the attractive stabilising mechanism of upwinded discon-tinuous Galerkin...