Weak asymptotics method approach to the problem of \(\delta \)-shock wave interactions

DOI10.1134/S0001434620070032zbMath1450.76021OpenAlexW3047260695MaRDI QIDQ2197231

Yanyan Li

Publication date: 31 August 2020

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434620070032

zbMATH Keywords

singularityRiemann problemgeneralized solutionpressureless gas dynamics

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Gas dynamics (general theory) (76N15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Riemann problem for pressureless fluid dynamics with distribution solutions in Colombeau's sense
• Delta-shock waves as limits of vanishing viscosity for hyperbolic systems of conservation laws
• On the Cauchy problem of transportation equations
• Generalized solutions describing singularity interaction
• Dynamics of propagation and interaction of \(\delta\)-shock waves in conservation law systems
• Existence and uniqueness of discontinuous solutions defined by Lebesgue-Stieltjes integral
• Interaction of \(\delta\)-shock waves in a system of pressureless gas dynamics equations
• Sticky Particles and Scalar Conservation Laws
• Duality solutions for pressureless gases, monotone scalar conservation laws, and uniqueness
• Well posedness for pressureless flow

This page was built for publication: Weak asymptotics method approach to the problem of \(\delta \)-shock wave interactions