Interactions of delta shock waves and stability of Riemann solutions for nonlinear chromatography equations

DOI10.1007/s00033-015-0599-6zbMath1337.35093OpenAlexW2303747540MaRDI QIDQ286442

Qingling Zhang

Publication date: 20 May 2016

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-015-0599-6

zbMATH Keywords

wave interactiondelta contact discontinuity

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Degenerate elliptic equations (35J70) Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (7)

Exact delta shock wave solution to the Riemann problem for the three-component chromatography model ⋮ Infinitely many solutions for the discrete Schrödinger equations with a nonlocal term ⋮ Riemann problem and wave interactions for a Temple-class hyperbolic system of conservation laws ⋮ INTERACTIONS OF DELTA SHOCK WAVES FOR A CLASS OF NONSTRICTLY HYPERBOLIC SYSTEM OF CONSERVATION LAWS ⋮ The Riemann problem with delta initial data for the two-dimensional steady zero-pressure adiabatic flow ⋮ Shadow wave solution for the generalized Langmuir isotherm in chromatography ⋮ Riemann problem with delta initial data for the two-dimensional steady pressureless isentropic relativistic Euler equations

Cites Work

• One-dimensional nonlinear chromatography system and delta-shock waves
• New developments of delta shock waves and its applications in systems of conservation laws
• Delta shock waves in chromatography equations
• Stability of the Riemann solutions for a nonstrictly hyperbolic system of conservation laws
• Interactions of delta shock waves in a strictly hyperbolic system of conservation laws
• Shadow waves: Entropies and interactions for delta and singular shocks
• On the vacuum state for the isentropic gas dynamics equations
• Delta-shock waves as limits of vanishing viscosity for hyperbolic systems of conservation laws
• Dynamics of propagation and interaction of \(\delta\)-shock waves in conservation law systems
• Interactions of delta shock waves for the chromatography equations
• The Riemann problem with delta initial data for the one-dimensional Chaplygin gas equations
• Wave interactions and stability of the Riemann solutions for the chromatography equations
• Interactions of delta shock waves for the transport equations with split delta functions
• Analysis of two Chebyshev-like third order methods free from second derivatives for solving systems of nonlinear equations
• Delta shock waves for the chromatography equations as self-similar viscosity limits
• Systems of Conservation Laws with Coinciding Shock and Rarefaction Curves
• The Riemann problem for the transportation equations in gas dynamics
• Formation of $\delta$-Shocks and Vacuum States in the Vanishing Pressure Limit of Solutions to the Euler Equations for Isentropic Fluids
• Delta and singular delta locus for one-dimensional systems of conservation laws
• Some New Well-Posedness Results for Continuity and Transport Equations, and Applications to the Chromatography System
• Systems of Conservation Laws with Invariant Submanifolds

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