A nonlinear conservation law with a step function involving the flux: A distributional approach

DOI10.1063/1.5086161zbMath1428.35260OpenAlexW2960343337MaRDI QIDQ5228042

Carlos Orlando R. Sarrico

Publication date: 8 August 2019

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

Full work available at URL: https://doi.org/10.1063/1.5086161

zbMATH Keywords

Riemann problem

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Hyperbolic conservation laws (35L65) Initial value problems for nonlinear first-order PDEs (35F25) Riemann-Hilbert problems in context of PDEs (35Q15) PDEs in connection with mechanics of particles and systems of particles (35Q70)

Related Items (1)

The multiplication of distributions in the one-dimensional Eulerian droplet model

Cites Work

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• The Riemann problem for the Brio system: a solution containing a Dirac mass obtained via a distributional product
• Distributional products and global solutions for nonconservative inviscid Burgers equation
• Multiplication of distributions and a nonlinear model in elastodynamics
• Definition and weak stability of nonconservative products
• Delta shock waves in the shallow water system
• Newton’s second law and the multiplication of distributions
• Multiplications of distributions in elasticity and hydrodynamics
• Formation of Delta Standing Wave for a Scalar Conservation Law with a Linear Flux Function Involving Discontinuous Coefficients
• The Multiplication of Distributions in the Study of a Riemann Problem in Fluid Dynamics
• A DISTRIBUTIONAL PRODUCT APPROACH TO δ-SHOCK WAVE SOLUTIONS FOR A GENERALIZED PRESSURELESS GAS DYNAMICS SYSTEM
• On a regularization of a scalar conservation law with discontinuous coefficients

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