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Almost Global Existence for the Prandtl Boundary Layer Equations

, 2015
We consider the Prandtl boundary layer equations on the half plane, with initial datum that lies in a weighted H1 space with respect to the normal variable, and is real-analytic with respect to the tangential variable.
M. Ignatova, V. Vicol
semanticscholar   +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

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

Global Existence of Weak Solutions of the Nematic Liquid Crystal Flow in Dimension Three

, 2014
For any bounded smooth domain Ω⊂ℝ3 (or Ω=ℝ3) , we establish the global existence of a weak solution (u,d):Ω×[0,+∞)→ℝ3×S2 of the initial boundary value (or the Cauchy) problem of the simplified Ericksen‐Leslie system LLF modeling the hydrodynamic flow of ...
F. Lin, Changyou Wang
semanticscholar   +1 more source

Integrative oncology: Addressing the global challenges of cancer prevention and treatment

Ca-A Cancer Journal for Clinicians, 2022
Jun J Mao,, Msce   +2 more
exaly  

Global Existence Result for the Generalized Peterlin Viscoelastic Model

SIAM Journal on Mathematical Analysis, 2017
M. Lukáčová-Medvid’ová   +3 more
semanticscholar   +1 more source

Small data global existence for a fluid-structure model

, 2017
M. Ignatova   +3 more
semanticscholar   +1 more source

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