Global solvability of the free-boundary problem for one-dimensional motion of a self-gravitating viscous radiative and reactive gas

DOI10.3792/pjaa.84.123zbMath1152.35520OpenAlexW2067780293MaRDI QIDQ2378650

Morimichi Umehara, Atusi Tani

Publication date: 13 January 2009

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1216308254

zbMATH Keywords

global solutionfree-boundary problemself-gravitationradiative gasreactive gasLagrangian mass coordinate

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Inverse problems for PDEs (35R30) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

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Cites Work

• Global solution to the one-dimensional equations for a self-gravitating viscous radiative and reactive gas
• On the free boundary value problem for compressible viscous fluid motion
• On the first initial-boundary value problem of compressible viscous fluid motion
• Unique global solution with respect to time of initial-boundary value problems for one-dimensional equations of a viscous gas
• Lyapunov functional method for 1D radiative and reactive viscous gas dynamics
• On the large-time behavior of 1D radiative and reactive viscous flows for higher-order kinetics
• On The Motion of Gaseous Stars in The Presence of Radiation
• TEMPORALLY GLOBAL SOLUTION TO THE EQUATIONS FOR A SPHERICALLY SYMMETRIC VISCOUS RADIATIVE AND REACTIVE GAS OVER THE RIGID CORE
• On the outer pressure problem of the one-dimensional polytropic ideal gas
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