New δ-shock waves in the p-system: a distributional product approach
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Publication:5133443
DOI10.1177/1081286519886004zbMath1446.74150OpenAlexW2984413657MaRDI QIDQ5133443
Publication date: 10 November 2020
Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1177/1081286519886004
Shocks and related discontinuities in solid mechanics (74J40) Thermal effects in solid mechanics (74F05)
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Cites Work
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- Shadow waves for pressureless gas balance laws
- New developments of delta shock waves and its applications in systems of conservation laws
- Formation of delta shocks and vacuum states in the vanishing pressure limit of Riemann solutions to the perturbed Aw-Rascle model
- Interactions of delta shock waves in a strictly hyperbolic system of conservation laws
- Delta shock wave formation in the case of triangular hyperbolic system of conservation laws
- Collision of delta-waves in a turbulent model studied via a distribution product
- Two-dimensional Riemann problem for a hyperbolic system of nonlinear conservation laws. I: Four-\(J\) cases
- Distributional products and global solutions for nonconservative inviscid Burgers equation
- 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
- Delta shock waves for a linearly degenerate hyperbolic system of conservation laws of Keyfitz-Kranzer type
- The limit behavior of the Riemann solutions to the generalized Chaplygin gas equations with a source term
- The Riemann problem for the pressureless Euler system with the Coulomb-like friction term
- 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
- Linearization of the Riemann problem for a triangular system of conservation laws and delta shock wave formation process
- $ \delta$- and $ \delta'$-shock wave types of singular solutions of systems of conservation laws and transport and concentration processes
- Multiplications of distributions in elasticity and hydrodynamics
- The Riemann problem for the transportation equations in gas dynamics
- Sticky Particles and Scalar Conservation Laws
- Formation of $\delta$-Shocks and Vacuum States in the Vanishing Pressure Limit of Solutions to the Euler Equations for Isentropic Fluids
- Weak Solution to Pressureless Type System
- Duality solutions for pressureless gases, monotone scalar conservation laws, and uniqueness
- Delta and singular delta locus for one-dimensional systems of conservation laws
- Products of distributions and collision of a δ-wave with a δ′-wave in a turbulent model
- The Multiplication of Distributions in the Study of a Riemann Problem in Fluid Dynamics
- DELTA SHOCK WAVES AS A LIMIT OF SHOCK WAVES
- A DISTRIBUTIONAL PRODUCT APPROACH TO δ-SHOCK WAVE SOLUTIONS FOR A GENERALIZED PRESSURELESS GAS DYNAMICS SYSTEM
- Distribution solutions of nonlinear systems of conservation laws
- Weak* Solutions II: The Vacuum in Lagrangian Gas Dynamics
- Neue Begründung der Theorie der „Distributionen”︁ von L. Schwartz
- The Riemann problem for the Chaplygin gas equations with a source term
