arXiv Analytics

Sign in

arXiv:2001.07529 [math.AP]AbstractReferencesReviewsResources

Quenching, global existence and blowup phenomena in heat transfer

Xianfa Song

Published 2020-01-15Version 1

Basing on the relations between a system of ODE and a system of parabolic equations, we establish some general theories in heat transfer about quenching, global existence and blowup phenomena, obtain the conditions(even watershed) on f(u,v), g(u,v), a(x) and b(x) which let the solution be global existence, quench or blow up, and estimate the bounds for blowup time and quenching time.

Categories: math.AP, math-ph, math.MP
Related articles: Most relevant | Search more
arXiv:1009.0328 [math.AP] (Published 2010-09-02)
On the Global Existence and Blowup Phenomena of Schrödinger Equations with Multiple Nonlinearities
arXiv:1811.05136 [math.AP] (Published 2018-11-13)
Global existence, blowup phenomena, and asymptotic behavior for quasilinear Schrödinger equations
arXiv:1211.5866 [math.AP] (Published 2012-11-26, updated 2013-12-02)
Global Existence of Strong Solutions to Incompressible MHD

Links

Toolbox