Asymptotic Maslov’s method for shocks of conservation laws systems with quadratic flux
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Publication:4638899
DOI10.1080/00036811.2017.1293817zbMath1407.35136OpenAlexW2589939015MaRDI QIDQ4638899
P. Rodríguez-Bermúdez, B. Valiño-Alonso
Publication date: 2 May 2018
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2017.1293817
shock wavesgeneralized Riemann problemHugoniot locusColombeau's generalized functionsHugoniot-Maslov chains
Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Analyticity in context of PDEs (35A20) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30) Initial value problems for systems of nonlinear first-order PDEs (35F55)
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- Hugoniót-Maslov chains for singular vortical solutions to quasilinear hyperbolic systems and typhoon trajectory
- Hugoniot-type conditions for infinitely narrow solutions of the equation for simple waves
- A new theory of shock dynamics. II: Numerical solution
- A new theory of shock dynamics. I: Analytic considerations
- Distributions and nonlinear partial differential equations
- A nonlinear theory of generalized functions.
- Multiplication of distributions. A tool in mathematics, numerical engineering and theoretical physics
- Algebras of the singularities of singular solutions to first-order quasi-linear strictly hyperbolic systems
- Hugoniot-Maslov chains for solitary vortices of the shallow water equations. I: Derivation of the chains for the case of variable Coriolis forces and reduction to the Hill equation.
- Hugoniot-Maslov chains for solitary vortices of the shallow water equations. II: The analysis of solutions of the truncated chain and an approximate description of possible trajectories of mesoscale vortices (typhoons).
- Classical and non-classical discontinuities in solutions of equations of non-linear elasticity theory
- Hugoniot-type conditions and weak solutions to the phase-field system
- A Perturbative Theory of the Evolution of the Center of Typhoons
- Hugoniot–Maslov chains of a shock wave in conservation law with polynomial flow
- Weak asymptotic solution of phase-field system in the case of confluence of free boundaries in the Stefan problem with underheating
- Conservation laws with discontinuous coefficients
