Results 311 to 320 of about 8,147,434 (373)
Some of the next articles are maybe not open access.
Global Existence and the Decay of Solutions to the Prandtl System with Small Analytic Data
Archive for Rational Mechanics and Analysis, 2019In 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 global non-existence of solutions to a reaction-diffusion system
Nonlinear Analysis: Theory, Methods & Applications, 2000Let \(\Omega\) 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 ...
Sining Zheng, Sining Zheng
openaire +3 more sources
Global existence without uniqueness [PDF]
Annali di Matematica Pura ed Applicata, 1970 In this paper we investigate the extendability of solutions of ordinary differential equations on [to, ∞) with the use of Liapunov functions. The results extend to non-unique systems the work done by Conti and Strauss, as well as establishing an equivalence between two properties of a Liapunov function.
openaire +1 more source
Global Existence and Stability of Nearly Aligned Flocks
Journal of Dynamics and Differential Equations, 2018We 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, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
GEORGIEV V. +2 more
openaire +5 more sources
Global existence for nonlocal MEMS
Nonlinear Analysis: Theory, Methods & Applications, 2011We prove the existence of solutions for a nonlocal equation arising from the mathematical modeling of MicroElectroMechanicalSystems (MEMS). The existence result, obtained within a suitable Implicit Function Theorem framework, is established under rather general boundary conditions and for bounded domains whose diameter is fairly small.
CASSANI, DANIELE +2 more
openaire +3 more sources
Does a Global Temperature Exist?
Journal of Non-Equilibrium Thermodynamics, 2007Physical, mathematical, and observational grounds are employed to show that there is no physically meaningful global temperature for the Earth in the context of the issue of global warming. While it is always possible to construct statistics for any given set of local temperature data, an infinite range of such statistics is mathematically permissible ...
Essex, Christopher +2 more
openaire +2 more sources