Simplified chromatography model and inverse of split delta shocks

DOI10.1016/j.aml.2019.01.008zbMath1412.35200OpenAlexW2910078814MaRDI QIDQ1739402

Sana Mohamed Abdulwanis Mohamed, Marko Nedeljkov

Publication date: 26 April 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2019.01.008

zbMATH Keywords

Dirac delta functionRiemann initial data problem

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (3)

Exact delta shock wave solution to the Riemann problem for the three-component chromatography model ⋮ The initial-boundary value problem for a strictly hyperbolic equations ⋮ The multiplication of distributions in the study of delta shock wave for the nonlinear chromatography system

Cites Work

• Singular shocks in a chromatography model
• Interactions of delta shock waves in a strictly hyperbolic system of conservation laws
• Delta shock wave solution for a symmetric Keyfitz-Kranzer system
• Interactions of delta shock waves for the Chaplygin gas equations with split delta functions
• Higher order shadow waves and delta shock blow up in the Chaplygin gas
• The perturbed Riemann problem and delta contact discontinuity in chromatography equations
• Shadow wave solution for the generalized Langmuir isotherm in chromatography
• The Asymptotic Behaviors of Solutions to the Perturbed Riemann Problem near the Singular Curve for the Chromatography System*

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