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Global Existence and the Decay of Solutions to the Prandtl System with Small Analytic Data

Archive for Rational Mechanics and Analysis, 2019
In this paper, we prove the global existence and the large time decay estimate of solutions to Prandtl system with small initial data, which is analytical in the tangential variable.
M. Paicu, Ping Zhang
semanticscholar   +1 more source

Global Existence and Stability of Nearly Aligned Flocks

Journal of Dynamics and Differential Equations, 2018
We study regularity of a hydrodynamic singular model of collective behavior introduced in Shvydkoy and Tadmor (Trans Math Appl 1(1):tnx001, 2017). In this note we address the question of global well-posedness in multi-dimensional settings.
R. Shvydkoy
semanticscholar   +1 more source

Global Existence for Elastic Waves with Memory

Archive for Rational Mechanics and Analysis, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
GEORGIEV V.   +2 more
openaire   +4 more sources

On the Existence of a Global Solution of a Hyperbolic Problem

Doklady Mathematics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rozanova, O. S., Chizhonkov, E. V.
openaire   +1 more source

Existence of Global Minima for Constrained Optimization

Journal of Optimization Theory and Applications, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ozdaglar, A. E., Tseng, P.
openaire   +2 more sources

ON GLOBAL EXISTENCE OF AN IMPLICIT FUNCTION

Russian Academy of Sciences. Sbornik Mathematics, 1994
This article presents some new global implicit function theorems in the smooth case. The main idea of these results is based on special upper estimates for implicit functions that guarantees location of the graph of this function in a fixed domain. A row of theorems on that the graph of implicit functions is a smooth retract of Lebesgue neighborhoods ...
openaire   +1 more source

Global Existence of Finite Energy Weak Solutions of Quantum Navier–Stokes Equations

, 2016
In this paper we consider the Quantum Navier–Stokes system both in two and in three space dimensions and prove the global existence of finite energy weak solutions for large initial data.
P. Antonelli, Stefano Spirito
semanticscholar   +1 more source

On the Global Existence for the Kuramoto-Sivashinsky Equation

Journal of Dynamics and Differential Equations, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kukavica, Igor, Massatt, David
openaire   +2 more sources

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