Products of distributions and collision of a δ-wave with a δ′-wave in a turbulent model
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Publication:5230997
DOI10.1080/14029251.2015.1079421zbMath1421.76149OpenAlexW2280662704MaRDI QIDQ5230997
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Publication date: 29 August 2019
Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/14029251.2015.1079421
products of distributionsinviscid Burgers equationcollisions of \(\delta\)-waves with \(\delta'\)-wavesDelta-solitons
Shocks and singularities for hyperbolic equations (35L67) Shock waves and blast waves in fluid mechanics (76L05)
Related Items (11)
Formation of \(\delta\)-shock waves in isentropic fluids ⋮ The propagation and collision behavior of \(\delta^{\prime}\) waves in a model of three partial differential equations ⋮ Emergence of δ′-waves in the zero pressure gas dynamic system ⋮ Interaction of Dirac \(\delta\)-waves in the nonlinear Klein-Gordon equation ⋮ New δ-shock waves in the p-system: a distributional product approach ⋮ Multiplication of distributions and travelling wave solutions for the Keyfitz-Kranzer system ⋮ Delta shock waves in the shallow water system ⋮ Distributions as initial values in a triangular hyperbolic system of conservation laws ⋮ Creation, annihilation, and interaction of delta-waves in nonlinear models: a distributional product approach ⋮ The Multiplication of Distributions in the Study of a Riemann Problem in Fluid Dynamics ⋮ Newton’s second law and the multiplication of distributions
Cites Work
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- The Brio system with initial conditions involving Dirac masses: a result afforded by a distributional product
- Products of distributions, conservation laws and the propagation of \(\delta'\)-shock waves
- New solutions for the one-dimensional nonconservative inviscid Burgers equation
- 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
- 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
- Distributional products and global solutions for nonconservative inviscid Burgers equation
- Algebras of the singularities of singular solutions to first-order quasi-linear strictly hyperbolic systems
- New distributional global solutions for the Hunter-Saxton equation
- Dynamics of propagation and interaction of \(\delta\)-shock waves in conservation law systems
- Definition and weak stability of nonconservative products
- Products of distributions and singular travelling waves as solutions of advection-reaction equations
- Propagation and interaction of \(\delta\)-shock waves for hyperbolic systems of conservation laws
- \(\delta ^{\prime }\)-shock waves as a new type of solutions to systems 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
- A contribution to the theory of generalized functions
- Non-standard characteristics in asymptotic problems
- A DISTRIBUTIONAL PRODUCT APPROACH TO δ-SHOCK WAVE SOLUTIONS FOR A GENERALIZED PRESSURELESS GAS DYNAMICS SYSTEM
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