Admissible solutions of hyperbolic conservation laws
From MaRDI portal
Publication:3891973
DOI10.1090/memo/0240zbMath0446.76058OpenAlexW1983430582MaRDI QIDQ3891973
Publication date: 1981
Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/memo/0240
regularityapproximationRiemann probleminitial-value problemadmissible solutionsnonlinear interactionlarge-time behaviorrandom choice methodLipschitz continuous curves of jump discontinuitiesnot necessarily genuinely nonlinear
Related Items
Entropy production and admissibility of shocks, Global solutions of nonconcave hyperbolic conservation laws with relaxation arising from traffic flow, A universal centred high-order method based on implicit Taylor series expansion with fast second order evolution of spatial derivatives, Initial-boundary problem for the 1-D Euler-Boltzmann equations in radiation hydrodynamics, Open Questions in the Theory of One Dimensional Hyperbolic Conservation Laws, Mathematical Aspects of A Model for Granular Flow, Existence theory by front tracking for general nonlinear hyperbolic systems, Nonlinear hyperbolic systems: Nondegenerate flux, inner speed variation, and graph solutions, An improved convergence rate of Glimm scheme for general systems of hyperbolic conservation laws, Decay with a Rate for Noncompactly Supported Solutions of Conservation Laws, Géométrie des systèmes hyperboliques de lois de conservation, Nonlinear waves for viscoelasticity with fading memory, Riemann problem and elementary wave interactions in isentropic magnetogasdynamics, Rankine-Hugoniot conditions for fluids whose energy depends on space and time derivatives of density, Solution of a system of nonstrictly hyperbolic conservation laws, The mathematical theory of splitting-merging patterns in phase transition dynamics, Diminishing functionals for nonclassical entropy solutions selected by kinetic relations, Shock-induced phase transitions in systems of hard spheres with attractive interactions, Une famille de schémas numériques T.V.D. pour les lois de conservation hyperboliques, Unnamed Item, A ``forward-in-time quadratic potential for systems of conservation laws, Two-dimensional Riemann problems: transonic shock waves and free boundary problems, Burgers type equations, Gelfand's problem and Schumpeterian dynamics, Non-polytropic effect on shock-induced phase transitions in a hard-sphere system, Decay estimation in nonlinear hyperbolic system of conservation laws, Sharp convergence rate of the Glimm scheme for general nonlinear hyperbolic systems, The initial-boundary value problem of hyperbolic integro-differential systems of nonlinear balance laws, SBV regularity for genuinely nonlinear, strictly hyperbolic systems of conservation laws in one space dimension, Shock Waves in Hyperbolic Systems of Nonequilibrium Thermodynamics, An iterative scaling function procedure for solving scalar non-linear hyperbolic balance laws, Multivalued solutions to some nonlinear and non-strictly hyperbolic systems, On the shape of avalanches, A quadratic interaction estimate for conservation laws: motivations, techniques and open problems, Global Structure of Admissible BV Solutions to Piecewise Genuinely Nonlinear, Strictly Hyperbolic Conservation Laws in One Space Dimension, Concentration of source terms in generalized Glimm scheme for global entropy solutions of nonlinear hyperbolic balance laws, Using \(K\)-branch entropy solutions for multivalued geometric optics computations, On a Lyapunov functional relating shortening curves and viscous conservation laws, On the weak solutions to the equations of a compressible heat conducting gas, Uniqueness of classical and nonclassical solutions for nonlinear hyperbolic systems, Long time existence of entropy solutions to the one-dimensional non-isentropic Euler equations with periodic initial data, Unnamed Item, A note on the Riemann problem for general \(n\times n\) conservation laws, Asymptotic behavior of solutions of the Cauchy problem for Burgers type equations, A new Glimm functional and convergence rate of Glimm scheme for general systems of hyperbolic conservation laws, Uniqueness of admissible solutions of the Riemann problem for a system of conservation laws of mixed type, Uniqueness for multidimensional hyperbolic systems with commuting Jacobians, A wavefront tracking algorithm for \(N\times N\) nongenuinely nonlinear conservation laws, Dynamics in the fundamental solution of a non-convex conservation law, Hyperbolic conservation laws with large initial data. Is the Cauchy problem well-posed?, Non-uniformity of vanishing viscosity approximation, Cauchy-Gelfand problem for quasilinear conservation law, Weak continuity and compactness for nonlinear partial differential equations, Theoretical developments in the study of partial differential equations, Rotational degeneracy of hyperbolic systems of conservation laws, Sharp decay estimates for hyperbolic balance laws, Propagation of weakly nonlinear magnetoacoustic waves, Non-Cooperative and Semi-Cooperative Differential Games, Nonclassical shocks and the Cauchy problem for nonconvex conservation laws, On the structure of BV entropy solutions for hyperbolic systems of balance laws with general flux function, Decay estimate for a new measure of rarefaction waves in general systems of conservation laws, A possible counterexample to well posedness of entropy solutions and to Godunov scheme convergence, Oleinik type estimates and uniqueness for \(n \times n\) conservation laws, Asymptotic states for hyperbolic conservation laws with a moving source, Structure of entropy solutions to general scalar conservation laws in one space dimension, Numerical solution of a virtual internal bond model for material fracture, On a nonstrictly hyperbolic system of conservation laws, The Riemann problem for a nonlinear non-strictly hyperbolic system arising in biology, Traveling waves for conservation laws with cubic nonlinearity and BBM type dispersion, Nonstrictly hyperbolic waves in elasticity, Quadratic interaction functional for general systems of conservation laws, Transition to detonation in dynamic phase changes, Hyperbolic balance laws with relaxation