arXiv:1909.07684 Abstract | arXiv Analytics

arXiv:1909.07684 [math.AP]Abstract References Reviews Resources

Global existence and exponential decay to equilibrium for DLSS-type equations

Published 2019-09-17Version 1

In this paper, we deal with two logarithmic fourth order differential equations: the extended one-dimensional DLSS equation and its multi-dimensional analog. We show the global existence of solution in critical spaces, its convergence to equilibrium and the gain of spatial analyticity for these two equations in a unified way.

Categories: math.AP

Keywords: global existence, dlss-type equations, exponential decay, equilibrium, logarithmic fourth order differential equations

Related articles: Most relevant | Search more

arXiv:2008.10440 [math.AP] (Published 2020-08-24)

Nernst-Planck-Navier-Stokes systems near equilibrium

Peter Constantin, Mihaela Ignatova, Fizay-Noah Lee

arXiv:1804.09645 [math.AP] (Published 2018-04-25)

Global existence and decay to equilibrium for some crystal surface models

Rafael Granero-Belinchón, Martina Magliocca

arXiv:1504.06711 [math.AP] (Published 2015-04-25)

Exponential decay towards equilibrium and global classical solutions for nonlinear reaction-diffusion systems

Klemens Fellner, El-Haj Laamri