Evolution and interaction of \(\delta\)-waves in the zero-pressure gas dynamics system

DOI10.1007/s10473-024-0510-7MaRDI QIDQ6597931

Abhishek Das, K. T. Joseph

Publication date: 4 September 2024

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

zero-pressure gas dynamicsinteraction of waves\(\delta\)-waves

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Singular perturbations in context of PDEs (35B25) PDEs with low regular coefficients and/or low regular data (35R05) Initial value problems for nonlinear first-order PDEs (35F25)

Cites Work

• Source-solutions and asymptotic behavior in conservation laws
• Generalized solutions to Burgers' equation
• Generalized solutions to Cauchy problems
• Radon measure-valued solutions of first order scalar conservation laws
• Spherically symmetric solutions of multidimensional zero-pressure gas dynamics system
• Hyperbolic systems of conservation laws II
• Nonvanishing singular parts of measure valued solutions for scalar hyperbolic equations
• Burger's equation in the quarter plane, a formula for the weak limit
• THE SPACES $ BV$ AND QUASILINEAR EQUATIONS
• The partial differential equation u_t + uu_x = μ_xx
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