The multiplication of distributions in the study of delta shock wave for a hyperbolic system of Temple class
From MaRDI portal
Publication:5061445
DOI10.1142/S0129167X21501032zbMath1485.35292OpenAlexW3199061312WikidataQ114073226 ScholiaQ114073226MaRDI QIDQ5061445
Publication date: 11 March 2022
Published in: International Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0129167x21501032
Riemann problemproduct of distributionshyperbolic conservation lawTemple classdelta shock waveKeyfitz-Kranzer system
Shocks and singularities for hyperbolic equations (35L67) Gas dynamics (general theory) (76N15) Operations with distributions and generalized functions (46F10) Hyperbolic conservation laws (35L65)
Related Items (3)
The initial-boundary value problem for a strictly hyperbolic equations ⋮ On existence and admissibility of singular solutions for systems of conservation laws ⋮ Analysis of wave interaction and its applications of traffic flow model with variable lane width
Cites Work
- The Riemann problem for the Brio system: a solution containing a Dirac mass obtained via a distributional product
- Existence of global entropy solutions to general system of Keyfitz-Kranzer type
- Existence of global bounded weak solutions to a symmetric system of Keyfitz-Kranzer type
- New developments of delta shock waves and its applications in systems of conservation laws
- Delta shock waves with Dirac delta function in both components for systems of conservation laws
- The Brio system with initial conditions involving Dirac masses: a result afforded by a distributional product
- Rotational degeneracy of hyperbolic systems of conservation laws
- New solutions for the one-dimensional nonconservative inviscid Burgers equation
- Delta shock wave formation in the case of triangular hyperbolic system of conservation laws
- Shadow waves: Entropies and interactions for delta and singular shocks
- On a nonstrictly hyperbolic system of conservation laws
- A system of non-strictly hyperbolic conservation laws arising in elasticity theory
- Delta-shock waves as limits of vanishing viscosity for hyperbolic systems of conservation laws
- Distributional products and global solutions for nonconservative inviscid Burgers equation
- Delta shock wave solution for a symmetric Keyfitz-Kranzer system
- Multiplication of distributions and a nonlinear model in elastodynamics
- Dynamics of propagation and interaction of \(\delta\)-shock waves in conservation law systems
- Global solution of the Cauchy problem for a class of 2x2 nonstrictly hyperbolic conservation laws
- Spaces of weighted measures for conservation laws with singular shock solutions
- Definition and weak stability of nonconservative products
- Delta shock waves in the shallow water system
- Distributions as travelling waves in a nonlinear model from elastodynamics
- Formation of \(\delta\)-shock waves in isentropic fluids
- Interaction of Dirac \(\delta\)-waves in the nonlinear Klein-Gordon equation
- The multiplication of distributions in the one-dimensional Eulerian droplet model
- The multiplication of distributions in the study of delta shock wave for the nonlinear chromatography system
- Concentration and cavitation phenomena of Riemann solutions for the isentropic Euler system with the logarithmic equation of state
- Global existence of weak solutions for \(n \times n\) system of chromatography
- Higher order shadow waves and delta shock blow up in the Chaplygin gas
- The perturbed Riemann problem and delta contact discontinuity in chromatography equations
- Elementary Wave Interactions to the Compressible Euler Equations for Chaplygin Gas in Two Dimensions
- Singular solutions of a fully nonlinear 2 × 2 system of conservation laws
- Hyperbolic systems of conservation laws with a symmetry
- 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
- Distributions as initial values in a triangular hyperbolic system of conservation laws
- Emergence of δ′-waves in the zero pressure gas dynamic system
- New δ-shock waves in the p-system: a distributional product approach
- Systems of Conservation Laws with Invariant Submanifolds
- 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
- The multiplication of distributions in the study of delta shock waves for zero-pressure gasdynamics system with energy conservation laws
This page was built for publication: The multiplication of distributions in the study of delta shock wave for a hyperbolic system of Temple class
