The global classical solution to compressible Euler system with velocity alignment

Autor:	Tong, Lining, Chen, Li, Göttlich, Simone, Wang, Shu
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	global existence Mathematics - Analysis of PDEs lcsh:Mathematics FOS: Mathematics MathematicsofComputing_NUMERICALANALYSIS non-local velocity alignment lcsh:QA1-939 nonlinear pressure Analysis of PDEs (math.AP) ComputingMethodologies_COMPUTERGRAPHICS
Zdroj:	AIMS Mathematics, Vol 5, Iss 6, Pp 6673-6692 (2020)
ISSN:	2473-6988
DOI:	10.3934/math.2020429/fulltext.html
Popis:	In this paper, the compressible Euler system with velocity alignment and damping is considered, where the influence matrix of velocity alignment is not positive definite. Sound speed is used to reformulate the system into symmetric hyperbolic type. The global existence and uniqueness of smooth solution for small initial data is provided. Comment: 16 pages
Databáze:	OpenAIRE
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