Results 261 to 270 of about 6,210,205 (314)

Global existence of weak solutions for compressible Navier--Stokes equations: Thermodynamically unstable pressure and anisotropic viscous stress tensor

Annals of Mathematics, 2015
We prove global existence of appropriate weak solutions for the compressible Navier--Stokes equations for more general stress tensor than those covered by P.-L. Lions and E. Feireisl's theory.
D. Bresch, P. Jabin
semanticscholar   +1 more source

Global Existence for the Relativistic Enskog Equations

Acta Mathematica Scientia, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huang, Jianjun, Jiang, Zhenglu
openaire   +1 more source

Global Existence Results for Viscoplasticity at Finite Strain

, 2016
We study a model for rate-dependent gradient plasticity at finite strain based on the multiplicative decomposition of the strain tensor, and investigate the existence of global-in-time solutions to the related PDE system.
A. Mielke, Riccarda Rossi, Giuseppe Savare'   +2 more
semanticscholar   +1 more source

Global existence

2013
Abstract In Chapter 31, we prove future global existence in the case that the initial data are specified on the 3-torus, and assuming the initial data are close to those of de Sitter space. The proof is a bootstrap argument, one important ingredient being a system of differential inequalities.
openaire   +1 more source

Global existence and global non-existence of solutions to a reaction-diffusion system

Nonlinear Analysis: Theory, Methods & Applications, 2000
Let \(\Omega\) be a bounded domain in \(\mathbb{R}^n\) with \(C^2\) boundary \(\partial\Omega\). By a classification of the nonnegative real numbers, \(p_i\) and \(q_i\), \(i= 1,2\), several criteria for global existence and non-existence of positive solutions are given for the weakly coupled reaction-diffusion system \[ u_t= \Delta u+ u^{p_1} v^{q_1 ...
openaire   +2 more sources

On the existence of global first integrals in the plane

Annali di Matematica Pura ed Applicata, 1993
The authors are concerned with the existence of global, smooth first integrals of noncritical, autonomous first order systems of ordinary differential equation in the plane of such kind: (1) \(x'= f(x)\), \(x\in R^ 2\), \(f\in C^ k(R^ 2,R^ 2)\), \(1\leq k\leq \omega\).
L. Mazzi, Sabatini, Marco
openaire   +2 more sources

Global Existence and Analyticity for the 2D Kuramoto–Sivashinsky Equation

, 2017
There is little analytical theory for the behavior of solutions of the Kuramoto–Sivashinsky equation in two spatial dimensions over long times. We study the case in which the spatial domain is a two-dimensional torus.
D. Ambrose, A. Mazzucato
semanticscholar   +1 more source

The Blow-Up and Global Existence of Solution to Caputo–Hadamard Fractional Partial Differential Equation with Fractional Laplacian

Journal of nonlinear science, 2021
Changpin Li, Zhiqiang Li
semanticscholar   +1 more source

GLOBAL EXISTENCE

2003
Abstract This chapter contains a complete proof of the existence of global-in-time variational solutions for the full system of the Navier-Stokes equations of a viscous compressible and heat conducting fluid under suitable restrictions imposed on the constitutive laws.
openaire   +1 more source

Actually Existing Globalization

2000
There are two great, world-encompassing changes associated with the last quarter of the twentieth century: the rapid integration of the global economy and the unprecedented decline in the economic role of the state in most countries. The first of these, usually referred to as ‘globalization’, represents not a new direction but an acceleration of the ...
openaire   +1 more source