On a regularization of a scalar conservation law with discontinuous coefficients

DOI10.1063/1.4867624zbMath1290.35286OpenAlexW2075308525MaRDI QIDQ5414807

Chun Shen

Publication date: 7 May 2014

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

Full work available at URL: https://doi.org/10.1063/1.4867624

zbMATH Keywords

conservation lawsdiscontinuous coefficientspartial differential equationsLeray-type regularization\(\alpha\)-type regularizationbending of characteristic curvesdelta standing wave solutionRiemann type discontinuity

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) PDEs with low regular coefficients and/or low regular data (35R05) Riemann-Hilbert problems in context of PDEs (35Q15) PDEs in connection with geophysics (35Q86) PDEs in connection with mechanics of particles and systems of particles (35Q70) PDEs in connection with astronomy and astrophysics (35Q85)

Related Items (6)

Singular solutions to the Riemann problem for a macroscopic production model ⋮ The singular limits of Riemann solutions to a chemotaxis model with flux perturbation ⋮ Regularization of the shock wave solution to the Riemann problem for the relativistic Burgers equation ⋮ On the uniform controllability for a family of non-viscous and viscous Burgers-α systems ⋮ A nonlinear conservation law with a step function involving the flux: A distributional approach ⋮ Formation of Delta Standing Wave for a Scalar Conservation Law with a Linear Flux Function Involving Discontinuous Coefficients

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