The structure of solutions near a sonic line in gas dynamics via the pressure gradient equation
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Publication:298100
DOI10.1016/j.jmaa.2016.04.002zbMath1350.35160OpenAlexW2327157635MaRDI QIDQ298100
Publication date: 20 June 2016
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.04.002
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Classical solutions to PDEs (35A09)
Related Items (10)
Semi-hyperbolic patches of solutions to the two-dimensional compressible magnetohydrodynamic equations ⋮ An improved regularity result of semi-hyperbolic patch problems for the 2-D isentropic Euler equations ⋮ The degenerate hyperbolic problem for the two‐dimensional nonlinear wave system ⋮ The regularity of semi‐hyperbolic patches near sonic curves for the two‐dimensional compressible magnetohydrodynamic equations ⋮ On the Cauchy problem for a nonlinear variational wave equation with degenerate initial data ⋮ Sonic-supersonic solutions for the two-dimensional steady full Euler equations ⋮ The regularity of a degenerate Goursat problem for the 2-D isothermal Euler equations ⋮ Sonic-supersonic solutions to a degenerate Cauchy-Goursat problem for 2D relativistic Euler equations ⋮ On a regularity result for the transonic pressure-gradient system in gas dynamics ⋮ On a degenerate boundary value problem to the two-dimensional self-similar nonlinear wave system
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