On existence and admissibility of singular solutions for systems of conservation laws
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Publication:2170898
DOI10.1007/s40819-022-01368-4OpenAlexW4283656352WikidataQ114852172 ScholiaQ114852172MaRDI QIDQ2170898
Darko Mitrović, Henrik Kalisch
Publication date: 8 September 2022
Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40819-022-01368-4
Shocks and singularities for hyperbolic equations (35L67) PDEs in connection with fluid mechanics (35Q35) Hyperbolic conservation laws (35L65)
Cites Work
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- One-dimensional nonlinear chromatography system and delta-shock waves
- Energy balance for undular bores
- Mechanical balance laws for Boussinesq models of surface water waves
- The Riemann problem admitting \(\delta-, \delta ^{\prime }\)-shocks, and vacuum states (the vanishing viscosity approach)
- Delta shock wave formation in the case of triangular hyperbolic system of conservation laws
- Shadow waves: Entropies and interactions for delta and singular shocks
- The entropy condition and the admissibility of shocks
- The deterministic version of the Glimm scheme
- Divergence-measure fields and hyperbolic conservation laws
- Distributional products and global solutions for nonconservative inviscid Burgers equation
- Dynamics of propagation and interaction of \(\delta\)-shock waves in conservation law systems
- Weak asymptotics of shock wave formation process
- Definition and weak stability of nonconservative products
- Interaction of Dirac \(\delta\)-waves in the nonlinear Klein-Gordon equation
- Delta shock wave and wave interactions in a thin film of a perfectly soluble anti-surfactant solution
- On the compactness for two dimensional scalar conservation law with discontinuous flux
- Vanishing viscosity solutions of nonlinear hyperbolic systems
- Delta shock waves in shallow water flow
- Higher order shadow waves and delta shock blow up in the Chaplygin gas
- \(\delta ^{\prime }\)-shock waves as a new type of solutions to systems of conservation laws
- Non-existence and non-uniqueness for multidimensional sticky particle systems
- Conserving the wrong variables in gas dynamics: A Riemann solution with singular shocks
- Hyperbolic conservation laws with large initial data. Is the Cauchy problem well-posed?
- Delta shock waves for the chromatography equations as self-similar viscosity limits
- Newton’s second law and the multiplication of distributions
- Singular solutions for the shallow-water equations
- Singular solutions of a fully nonlinear 2 × 2 system of conservation laws
- Hyperbolic systems of conservation laws II
- Vanishing viscosity limit for a system of balance laws with general type initial data arising from 1D Saint-Venant model
- Measure solutions to a strictly hyperbolic system of conservation laws
- On measure-valued solutions of the Cauchy problem for a first-order quasilinear equation
- Formation of $\delta$-Shocks and Vacuum States in the Vanishing Pressure Limit of Solutions to the Euler Equations for Isentropic Fluids
- On finite time BV blow-up for the p-system
- Existence and uniqueness of singular solutions for a conservation law arising in magnetohydrodynamics
- Delta and singular delta locus for one-dimensional systems of conservation laws
- The multiplication of distributions in the study of delta shock wave for a hyperbolic system of Temple class
- New δ-shock waves in the p-system: a distributional product approach
- A shallow-water system with vanishing buoyancy
- Velocity averaging, kinetic formulations, and regularizing effects in quasi‐linear PDEs
- Discontinuous solutions of non-linear differential equations
- DELTA SHOCK WAVES AS A LIMIT OF SHOCK WAVES
- EXISTENCE OF STRONG TRACES FOR QUASI-SOLUTIONS OF MULTIDIMENSIONAL CONSERVATION LAWS
- Solutions in the large for nonlinear hyperbolic systems of equations
- FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
- Front tracking for hyperbolic conservation laws
- Well posedness for pressureless flow
- Delta-shock waves and Riemann solutions to the generalized pressureless Euler equations with a composite source term
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