The Rankine-Hugoniot conditions and balance laws for \(\delta \) -shocks

DOI10.1007/s10948-008-0173-yzbMath1151.35400OpenAlexW2033357790MaRDI QIDQ2378178

Vladimir Shelkovich

Publication date: 7 January 2009

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10948-008-0173-y

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65)

Related Items

The Riemann problem admitting \(\delta-, \delta ^{\prime }\)-shocks, and vacuum states (the vanishing viscosity approach) ⋮ A probabilistic model associated with the pressureless gas dynamics ⋮ \(\delta ^{\prime }\)-shock waves as a new type of solutions to systems of conservation laws ⋮ On the solution of a system of Hamilton-Jacobi equations of special form

Cites Work

• Delta-shock waves as limits of vanishing viscosity for hyperbolic systems of conservation laws
• Algebras of the singularities of singular solutions to first-order quasi-linear strictly hyperbolic systems
• Dynamics of propagation and interaction of \(\delta\)-shock waves in conservation law systems
• Spaces of weighted measures for conservation laws with singular shock solutions
• Generalized variational principles, global weak solutions and behavior with random initial data for systems of conservation laws arising in adhesion particle dynamics
• Riemann problems for a class of coupled hyperbolic systems of conservation laws
• Propagation and interaction of \(\delta\)-shock waves for hyperbolic systems of conservation laws
• The Riemann problem for the transportation equations in gas dynamics
• Delta-shock waves as self-similar viscosity limits
• THE SPACES $ BV$ AND QUASILINEAR EQUATIONS
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item