One-dimensional nonlinear chromatography system and delta-shock waves
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Publication:378075
DOI10.1007/s00033-013-0300-xzbMath1284.35284OpenAlexW2061063372WikidataQ59298675 ScholiaQ59298675MaRDI QIDQ378075
Publication date: 11 November 2013
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-013-0300-x
Asymptotic behavior of solutions to PDEs (35B40) Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65)
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Cites Work
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- Delta shock waves in chromatography equations
- Formation of delta shocks and vacuum states in the vanishing pressure limit of Riemann solutions to the perturbed Aw-Rascle model
- The Riemann problem admitting \(\delta-, \delta ^{\prime }\)-shocks, and vacuum states (the vanishing viscosity approach)
- Interactions of delta shock waves in a strictly hyperbolic system of conservation laws
- Shadow waves: Entropies and interactions for delta and singular shocks
- Solutions à variations bornées pour certains systèmes hyperboliques de lois de conservation. (Solutions of bounded variations for certain hyperbolic systems of conservation laws)
- Delta-shock waves as limits of vanishing viscosity for hyperbolic systems of conservation laws
- The semigroup generated by a Temple class system with large data
- Generalized characteristics and the uniqueness of entropy solutions to zero-pressure gas dynamics.
- Dynamics of propagation and interaction of \(\delta\)-shock waves in conservation law systems
- Spaces of weighted measures for conservation laws with singular shock solutions
- Definition and weak stability of nonconservative products
- Generalized variational principles, global weak solutions and behavior with random initial data for systems of conservation laws arising in adhesion particle dynamics
- Riemann problems for a class of coupled hyperbolic systems of conservation laws
- Wave interactions and stability of the Riemann solutions for the chromatography equations
- \(\delta ^{\prime }\)-shock waves as a new type of solutions to systems of conservation laws
- Analysis of two Chebyshev-like third order methods free from second derivatives for solving systems of nonlinear equations
- Stability of $L^\infty$ Solutions for Hyperbolic Systems with Coinciding Shocks and Rarefactions
- Delta shock waves for the chromatography equations as self-similar viscosity limits
- Singular solutions of a fully nonlinear 2 × 2 system of conservation laws
- Singular shock waves in interactions
- Measure solutions to a strictly hyperbolic system of conservation laws
- The Riemann problem for the transportation equations in gas dynamics
- Delta-shocks as limits of vanishing viscosity for multidimensional zero-pressure gas dynamics
- Formation of $\delta$-Shocks and Vacuum States in the Vanishing Pressure Limit of Solutions to the Euler Equations for Isentropic Fluids
- Uniqueness and Stability of $ L^\infty$ Solutions for Temple Class Systems with Boundary and Properties of the Attainable Sets
- 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
- Stability of \(L^ \infty\) solutions of Temple class systems.
- Well posedness for pressureless flow
