Open AccessGlobal Solutions for the Kuramoto-Sivashinsky Equation Posed on Unbounded 3D Grooves
Author(s) -
Nikolai A. Larkin
Publication year - 2021
Publication title -
contemporary mathematics
Language(s) - English
Resource type - Journals
eISSN - 2705-1064
pISSN - 2705-1056
DOI - 10.37256/cm.2420211075
Subject(s) - mathematics , uniqueness , initial value problem , boundary value problem , well posed problem , mathematical analysis , exponential function , exponential decay , physics , nuclear physics
Initial boundary value problems for the three-dimensional Kuramoto-Sivashinsky equation posed on unbounded 3D grooves (that may serve as mathematical models for wildfires) were considered. The existence and uniqueness of global strong solutions as well as their exponential decay have been established.