The global classical solution to compressible Euler system with velocity alignment

2019/12/03 by Lining Tong, Li Chen, Tong, Lining +5
Engineering · Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Navier-Stokes equation solutions #math.AP

paper · pdf · doi:10.48550/arxiv.1912.01374

16 pages

arxiv created 2019/12/03 · openalex publication_date 2019/12/03 · arxiv updated 2019/12/04 · openalex created_date 2019/12/13 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• The Cauchy problem for quasi-linear symmetric hyperbolic systems

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