Two-dimensional non-selfsimilar initial value problem for adhesion particle dynamics

DOI10.1007/s10483-007-0907-xzbMath1231.35251OpenAlexW2006814497MaRDI QIDQ940405

Wen-Hua Sun, Wan-cheng Sheng

Publication date: 1 September 2008

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-007-0907-x

zbMATH Keywords

vacuumentropy conditiondelta-shockadhesion particle dynamicsgeneralized rankine-hugoniot relation

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) PDEs in connection with mechanics of particles and systems of particles (35Q70)

Related Items (1)

The non-selfsimilar Riemann problem for 2-D zero-pressure flow in gas dynamics

Cites Work

• Delta-shock waves as limits of vanishing viscosity for hyperbolic systems of conservation laws
• Generalized variational principles, global weak solutions and behavior with random initial data for systems of conservation laws arising in adhesion particle dynamics
• The singular structure of non-selfsimilar global solutions of \(n\)-dimensional Burgers equation
• The Riemann problem for the transportation equations in gas dynamics
• Generalized plane delta-shock waves for \(n\)-dimensional zero-pressure gas dynamics
• Well posedness for pressureless flow
• Two-dimensional Riemann problems of simplified Euler equation
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