Flows of perfect fluids having two independent space-like variables. Reflection of a plane shock by a compressible wedge

DOI10.1007/BF00390347zbMath0838.76077MaRDI QIDQ1905664

Denis Serre

Publication date: 8 February 1996

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

maximum principlea priori estimatesEuler equationsRiemann problemBernoulli lawsubsonic region

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Shock waves and blast waves in fluid mechanics (76L05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items

Mixed hyperbolic-elliptic systems in self-similar flows, Stability of spherically symmetric subsonic flows and transonic shocks under multidimensional perturbations, Multidimensional Conservation Laws: Overview, Problems, and Perspective, Spiral waves for the 2D Riemann problem for a compressible fluid, A linear approximation for the regular reflection of a weak shock at a wedge satisfying sonic condition, Existence and regularity of the solution of a mixed boundary value problem for the Keldysh equation with a nonlinear absorption term, Diffraction of a shock into an expansion wavefront for the transonic self-similar nonlinear wave system in two space dimensions, Two-dimensional regular shock reflection for the pressure gradient system of conservation laws, Potential theory for shock reflection by a large-angle wedge, Transonic shock and rarefaction wave interactions of two-dimensional Riemann problems for the self-similar nonlinear wave system, SELF-SIMILAR SOLUTIONS OF TWO-DIMENSIONAL CONSERVATION LAWS, Mach configuration in pseudo-stationary compressible flow, Interaction of four rarefaction waves in the bi-symmetric class of the two-dimensional Euler equations, A linear approximation for the regular reflection of a weak shock at a wedge, Existence and regularity of solution of mixed boundary value problem of a Busemann equation with nonlinear absorb term, SUBSONIC FLOWS FOR THE FULL EULER EQUATIONS IN HALF PLANE, Subsonic Irrotational Flows in a Finitely Long Nozzle with Variable end Pressure

Cites Work

• Front tracking and two-dimensional Riemann problems
• Étude variationnelle du problème de Riemann. (Variational study of the Riemann problem)
• Hyperbolic systems of conservation laws II
• The diffraction of blast. I
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