Two-dimensional subsonic flows with self-gravitation in bounded domain

DOI10.1142/S0218202515500591zbMath1329.35235arXiv1406.4255OpenAlexW2964132447MaRDI QIDQ3451156

Chunjing Xie, Ben Duan, Myoungjean Bae

Publication date: 10 November 2015

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.4255

zbMATH Keywords

stabilityexistencestream functionelliptic systemsubsonic flowEuler-Poisson system\(C^{1,\alpha}\) regularityLipschitz boundarygravitational

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) General aerodynamics and subsonic flows (76G25) PDEs of mixed type (35M10) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Second-order elliptic systems (35J47) Euler equations (35Q31) Nonlinear boundary value problems for nonlinear elliptic equations (35J66) Boundary value problems for second-order elliptic systems (35J57)

Related Items (6)

Supersonic Euler-Poisson flows in divergent nozzles ⋮ 3-D axisymmetric subsonic flows with nonzero swirl for the compressible Euler-Poisson system ⋮ Structural stability of supersonic solutions to the Euler-Poisson system ⋮ A deformation-curl-Poisson decomposition to the three dimensional steady Euler-Poisson system with applications ⋮ Three-dimensional supersonic flows of Euler-Poisson system for potential flow ⋮ Subsonic flow for the multidimensional Euler-Poisson system

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