Global expanding solutions of compressible Euler equations with small initial densities

2019/04/01 by Shrish Parmeshwar, Parmeshwar, Shrish, Mahir Hadžić +3 · 2 citations
Mathematics · #Navier-Stokes equation solutions #Geometric Analysis and Curvature Flows #Advanced Mathematical Physics Problems

paper · pdf · doi:10.48550/arxiv.1904.01122

Abstract

We prove the existence of a large class of global-in-time expanding solutions to vacuum free boundary compressible Euler flows without relying on the existence of an underlying finite-dimensional family of special affine solutions of the flow.

Cited by

• Global Existence and Asymptotic Equivalence to Barenblatt-type Solutions for the Physical Vacuum Free Boundary Problem of Damped Compressible Euler Equations in M-D
• Nonlinear Stability of Linearly Expanding Goldreich-Weber Solutions for the Navier-Stokes-Poisson System with Degenerate Viscosity Under Radial Perturbations

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