The evolution of discontinuities in solutions of inhomogeneous scalar hyperbolic conservation laws in several space dimensions

DOI10.1080/00036818808839813zbMath0638.35050OpenAlexW2003908305WikidataQ58286143 ScholiaQ58286143MaRDI QIDQ3779112

K.-D.Werner

Publication date: 1988

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036818808839813

zbMATH Keywords

existenceshock wavessource termRiccati differential equationglobal behaviourscalar hyperbolic conservation lawssmooth initial dataevolution of discontinuitiessmooth global solution

Mathematics Subject Classification ID

Related Items (1)

Construction of the entropy solution of hyperbolic conservation laws by a geometrical interpretation of the conservation principle

Cites Work

• Compressible fluid flow and systems of conservation laws in several space variables
• Gradient catastrophe in the solution of nonconservative hyperbolic systems
• An unsplit, higher order Godunov method for scalar conservation laws in multiple dimensions
• Construction of solutions for two-dimensional Riemann problems
• Formation of singularities in one-dimensional nonlinear wave propagation
• The Formation and Decay of Shock Waves
• Unnamed Item

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