The Riemann problem for pressureless fluid dynamics with distribution solutions in Colombeau's sense

DOI10.1007/s002200050355zbMath0911.35084OpenAlexW2043633757MaRDI QIDQ1270337

Jiaxin Hu

Publication date: 21 October 1998

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002200050355

zbMATH Keywords

shock wavesgeneralized functionsentropy conditionpressureless fluid dynamicssingular distributions

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Initial value problems for first-order hyperbolic systems (35L45) Riemann-Hilbert problems in context of PDEs (35Q15)

Related Items (9)

Vanishing viscosity limit for Riemann solutions to zero-pressure gas dynamics with flux perturbation ⋮ The stability of the delta wave to pressureless Euler equations with viscous and flux perturbations ⋮ Vanishing viscosity limit for Riemann solutions to a class of non-strictly hyperbolic systems ⋮ Colombeau generalized functions and solvability of differential operators ⋮ Weak asymptotics method approach to the problem of \(\delta \)-shock wave interactions ⋮ Explicit generalized solutions to a system of conservation laws ⋮ Viscous limits for a Riemannian problem to a class of systems of conservation laws ⋮ The classical point electron in Colombeau’s theory of nonlinear generalized functions ⋮ The \(\delta'\) wave solution to a totally degenerate system of conservation laws

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