Open AccessGlobal Existence for Compressible Euler Equations with Damping in Partial Space-Period Domains
Author(s) -
Jintao Li
Publication year - 2021
Publication title -
journal of advances in mathematics and computer science
Language(s) - English
Resource type - Journals
ISSN - 2456-9968
DOI - 10.9734/jamcs/2021/v36i1230423
Subject(s) - euler equations , isentropic process , dimension (graph theory) , space (punctuation) , compressibility , mathematical analysis , mathematics , vorticity , compressible flow , zero (linguistics) , euler's formula , euler system , physics , vortex , pure mathematics , mechanics , computer science , linguistics , philosophy , operating system
In this paper, we are concerned with the global existence of solutions to isentropic compressible Euler equations with damping in partial space-period domains. Based on the uniform energy estimates, we obtain the global existence for any spatial dimension if the initial data is sufficiently close to an equilibrium. Simultaneously, we show that the vorticity and its derivatives decay exponentially to zero in two and three dimensions.