On the shock structure problem for hyperbolic system of balance laws and convex entropy
From MaRDI portal
Publication:1287090
DOI10.1007/s001610050094zbMath0922.76237OpenAlexW2042404297MaRDI QIDQ1287090
Publication date: 14 October 1999
Published in: Continuum Mechanics and Thermodynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s001610050094
entropy principleshock velocity\(C(1)\)-smooth solutionsmaximum characteristic velocity in equilibrium statenon-existence theorem
Shocks and singularities for hyperbolic equations (35L67) Shock waves and blast waves in fluid mechanics (76L05) Hyperbolic conservation laws (35L65)
Related Items (41)
Molecular extended thermodynamics of rarefied polyatomic gases and wave velocities for increasing number of moments ⋮ Recent results on nonlinear extended thermodynamics of real gases with six fields. II: Shock wave structure ⋮ Multi-temperature fluid-dynamic model equations from kinetic theory in a reactive gas: the steady shock problem ⋮ Long Time Behavior of Solutions to the 3D Compressible Euler Equations with Damping ⋮ Shock structure analysis in chemically reacting gas mixtures by a relaxation-time kinetic model ⋮ Instantaneous smoothing and exponential decay of solutions for a degenerate evolution equation with application to Boltzmann's equation ⋮ On discontinuous travelling wave solutions for a class of hyperbolic reaction-diffusion models ⋮ The 35-moment system with the maximum-entropy closure for rarefied gas flows ⋮ Shock structure and multiple sub-shocks in binary mixtures of Eulerian fluids ⋮ Multidimensional stability of large-amplitude Navier-Stokes shocks ⋮ Efficient algorithms and implementations of entropy-based moment closures for rarefied gases ⋮ Shock wave structure of multi-temperature Euler equations from kinetic theory for a binary mixture ⋮ Discontinuous shock structure in a reacting mixture modelled by Grad 13 moment approximation ⋮ Shock wave structure in a rarefied polyatomic gas based on extended thermodynamics ⋮ Shock structure in extended thermodynamics with second-order maximum entropy principle closure ⋮ A \(2 \times 2\) simple model in which the sub-shock exists when the shock velocity is slower than the maximum characteristic velocity ⋮ Shock structure solutions of Grad 13-moment equations for binary gas mixtures ⋮ Nonlinear transport coefficients from Grad's 13-moment approximation ⋮ Singular travelling waves in soft viscoelastic solids of rate type ⋮ The evaporation-condensation problem for a binary mixture of rarefied gases ⋮ Center manifolds for a class of degenerate evolution equations and existence of small-amplitude kinetic shocks ⋮ Monatomic rarefied gas as a singular limit of polyatomic gas in extended thermodynamics ⋮ Shock Structures Described by Hyperbolic Balance Laws ⋮ Stable manifolds for a class of singular evolution equations and exponential decay of kinetic shocks ⋮ Shock Waves in Hyperbolic Systems of Nonequilibrium Thermodynamics ⋮ Sub-shock formation in shock structure of a binary mixture of polyatomic gases ⋮ Classical limit of relativistic moments associated with Boltzmann-Chernikov equation: optimal choice of moments in classical theory ⋮ Sub-shock formation in Grad 10-moment equations for a binary gas mixture ⋮ Shock structure and entropy growth in a gaseous binary mixture with viscous and thermal dissipation ⋮ Existence of traveling-wave solutions for hyperbolic systems of balance laws ⋮ Shock structure and multiple sub-shocks in Grad 10-moment binary mixtures of monoatomic gases ⋮ Effect of the dynamic pressure on the similarity solution of cylindrical shock waves in a rarefied polyatomic gas ⋮ On the shock thickness for a binary gas mixture ⋮ Characteristic velocity and dispersion relation of linear waves in extended thermodynamics of a van der Waals gas ⋮ Shock structure in the 14 moment system of extended thermodynamics with high order closure based on the maximum entropy principle ⋮ The coexistence of fast and slow diffusion processes in the life cycle of Aedes aegypti mosquitoes ⋮ Sub-shock Formation in Reacting Gas Mixtures ⋮ Relativistic gas: Moment equations and maximum wave velocity ⋮ High-Order Non-Conservative Simulation of Hyperbolic Moment Models in Partially-Conservative Form ⋮ Shock waves in Euler equations for compressible medium ⋮ On the domain of hyperbolicity of the cumulant equations
This page was built for publication: On the shock structure problem for hyperbolic system of balance laws and convex entropy
