On the global existence of solutions to the Prandtl's system.
type: Item
instance of: scholarly article
title: On the global existence of solutions to the Prandtl's system.
zbMATH Open document ID: 1052.35135
DOI: 10.1016/S0001-8708(03)00046-X
author: Zhouping Xin
author: Liqun Zhang
published in: Advances in Mathematics
publication date: 2004-01-26T00:00:00Z
review text: This paper is concerned with the global existence of weak solutions to the initial boundary value problem involving a two-dimensional Prandtl's system, for unsteady boundary layer with initial data, and the pressure gradient satisfying certain conditions. The basic idea is using a viscous splitting method to solve the problem in several time steps and then iterate these processes.
Mathematics Subject Classification ID: 35L70
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 76N15
Mathematics Subject Classification ID: 35L20
zbMATH DE Number: 2032760
zbMATH Keywords: Boundary layers
zbMATH Keywords: Prandtl equations
zbMATH Keywords: BV space
zbMATH Keywords: viscous splitting method
MaRDI profile type: Publication
cites work: Rates of Convergence for Viscous Splitting of the Navier-Stokes Equations
cites work: Q4693168
cites work: On the mathematical theory of boundary layer for an unsteady flow of incompressible fluid
cites work: Q4256682
cites work: Zero viscosity limit for analytic solutions, of the Navier-Stokes equation on a half-space. I: Existence for Euler and Prandtl equations
cites work: Some analytic and geometric properties of the solutions of the evolution Navier-Stokes equations
cites work: Blowup of solutions of the unsteady Prandtl's equation
description: scientific article; zbMATH DE number 2032760