Solutions with concentration to the Riemann problem for the one-dimensional Chaplygin gas equations

From MaRDI portal
Publication:814401

DOI10.1007/s00021-005-0162-xzbMath1085.35097OpenAlexW2046677109MaRDI QIDQ814401

Yann Brenier

Publication date: 7 February 2006

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00021-005-0162-x




Related Items (90)

Delta shocks and vacuum states in the Riemann solutions of Chaplygin Euler equations as pressure and magnetic field drop to zeroThe stability of the Riemann solutions for the non-symmetry Keyfitz-Kranzer system with Chaplygin pressureRiemann problem for a compressible perfect fluid with a constant external force for the Chaplygin gasDelta shock wave for a \(3 \times 3\) hyperbolic system of conservation lawsDelta shock wave solution of the Riemann problem for the non-homogeneous modified Chaplygin gasdynamicsThe convergence of Riemann solutions to the modified Chaplygin gas equations with a Coulomb-like friction term as the pressure vanishesThe perturbed Riemann problem for the Aw-Rascle model with modified Chaplygin gas pressureDelta shock wave in the compressible Euler equations for a Chaplygin gasTwo-dimensional Riemann problem for Chaplygin gas dynamics in four piecesThe Riemann problem for the relativistic full Euler system with generalized Chaplygin proper energy density-pressure relationRiemann problems and wave interactions for a non-symmetric Keyfitz–Kranzer system with a source termFormation of singularities of solutions to the compressible Euler equations for a Chaplygin gasDelta shocks and vacuum states for the isentropic magnetogasdynamics equations for Chaplygin gas as pressure and magnetic field vanishRiemann problem with delta initial data for the isentropic relativistic Chaplygin Euler equationsSurviving time estimates of local classical solutions to compressible Euler equations with logarithmic equation of stateDelta shocks and vacuum states in vanishing pressure limits of solutions to the relativistic Euler equations for generalized Chaplygin gasExistence and uniqueness of the global \(L^1\) solution of the Euler equations for Chaplygin gasDelta shock wave with Dirac delta function in multiple components for the system of generalized Chaplygin gas dynamicsRiemann problem for Chaplygin gas with combustionInteraction of delta shock waves for a nonsymmetric Keyfitz-Kranzer system of conservation lawsOn the stability of the improved Aw-Rascle-Zhang model with Chaplygin pressureFinite-time blowup of smooth solutions for the relativistic generalized Chaplygin Euler equationsNonlocal symmetries classifications and exact solution of Chaplygin gas equationsOn multi-dimensional linear stability of planar shock waves for Chaplygin gasesClassical solutions to the relativistic Euler equations for a linearly degenerate equation of stateDelta shock formation for the isothermal and logarithmic-corrected Chaplygin Euler equationsThe Riemann solutions comparison for compressible Euler equations in different Chaplygin gas statesRiemann solutions to the logotropic system with a Coulomb-type frictionSingularity for the one-dimensional rotating Euler equations of Chaplygin gasesThe Riemann problem for the Chaplygin gas equations with a source termA numerical scheme for singular shock solutions and a study of its consistence in the sense of distributionsThe Riemann problem for Chaplygin gas flow in a duct with discontinuous cross-sectionWell-posedness and blow-up criterion for the Chaplygin gas equations in ℝNRadon measure solutions to Riemann problems for isentropic compressible Euler equations of polytropic gasesFormation of delta-shocks for the Chaplygin gas equations by logarithmic pressure perturbationComparison of Riemann solutions for non-isentropic modified and pure Chaplygin gas dynamicsThe Riemann problem with delta initial data for the one-dimensional Chaplygin gas equations with a source termThe exact Riemann solutions to the generalized Chaplygin gas equations with frictionNew developments of delta shock waves and its applications in systems of conservation lawsGlobal structure of two dimensional Riemann solutions to the Euler system for isentropic Chaplygin gasDelta shock waves for a system of Keyfitz‐Kranzer typeDelta shock waves as flux-approximation limit of solutions to the modified Chaplygin gas equationsRiemann problem for the relativistic generalized Chaplygin Euler equationsThe two-dimensional Riemann problem for Chaplygin gas dynamics with three constant statesRiemann problem for the isentropic relativistic Chaplygin Euler equationsRIEMANN PROBLEM WITH DELTA INITIAL DATA FOR THE RELATIVISTIC CHAPLYGIN EULER EQUATIONSFormation and propagation of singularities in one-dimensional Chaplygin gasOne dimensional piston problem for compressible Euler equations of generalized Chaplygin gasHigher order shadow waves and delta shock blow up in the Chaplygin gasThe Riemann problem for one-dimensional generalized Chaplygin gas dynamicsUnnamed ItemConcentration and cavitation in the vanishing pressure limit of solutions to a simplified isentropic relativistic Euler equationsGeneral limiting behavior of Riemann solutions to the non-isentropic Euler equations for modified Chaplygin gasTHE RIEMANN PROBLEM WITH DELTA INITIAL DATA FOR THE NONSYMMETRIC KEYFITZ-KRANZER SYSTEM WITH CHAPLYGIN PRESSUREZero-exponent limit to the extended Chaplygin gas equations with frictionWave interactions and stability of Riemann solutions of the Aw-Rascle model for generalized Chaplygin gasAxisymmetric solutions of the Chaplygin gas for initial negative radial velocityOn a nonsymmetric Keyfitz-Kranzer system of conservation laws with generalized and modified Chaplygin gas pressure lawOn the irrotational approximation to adiabatic Chaplygin gas dynamic systemOn the uniqueness of solution to generalized Chaplygin gasINTERACTIONS OF DELTA SHOCK WAVES FOR A CLASS OF NONSTRICTLY HYPERBOLIC SYSTEM OF CONSERVATION LAWSGlobal smooth solutions for the Chaplygin gas equations with source terms in \(\mathbb{R}^d\)Riemann problem for the relativistic Chaplygin Euler equationsRiemann problem for the Aw-Rascle model of traffic flow with general pressureStability of the Riemann solutions for a Chaplygin gasInteractions of delta shock waves for the Chaplygin gas equations with split delta functionsThe limit behavior of the Riemann solutions to the generalized Chaplygin gas equations with a source termLimits of Riemann solutions to the relativistic Euler systems for Chaplygin gas as pressure vanishesThe perturbed Riemann problem for a macroscopic production model with Chaplygin gasThe limits of Riemann solutions for the isentropic Euler system with extended Chaplygin gasRiemann problems and delta-shock solutions for a Keyfitz-Kranzer system with a forcing termThe vanishing pressure limits of Riemann solutions to the Chaplygin gas equations with a source termPiston problems of two-dimensional Chaplygin gasConcentration in the flux approximation limit of Riemann solutions to the extended Chaplygin gas equations with frictionInvariant solutions and nonlinear self-adjointness of the two-component Chaplygin gas equationThe limit Riemann solutions to nonisentropic Chaplygin Euler equationsMultidimensional shock interaction for a Chaplygin gasFinite-time singularity formation for the original multidimensional compressible Euler equations for generalized Chaplygin gasElementary Wave Interactions to the Compressible Euler Equations for Chaplygin Gas in Two DimensionsRiemann problem for the isentropic Chaplygin gas Cargo-LeRoux modelThe limiting behavior of the Riemann solutions of non-isentropic modified Chaplygin gas dynamicsConcentration in vanishing pressure limit of solutions to the modified Chaplygin gas equationsMeasure solutions of one-dimensional piston problem for compressible Euler equations of Chaplygin gasConcentration in the zero-exponent limit of solutions to the isentropic Euler equations for extended Chaplygin gasThe Riemann problem with delta initial data for the non-isentropic improved Aw-Rascle-Zhang modelSupersonic flow of a Chaplygin gas past a delta wingVanishing magnetic field limits of solutions to the isentropic Chaplygin gas magnetogasdynamics equationsDelta-shocks and vacuum states in the vanishing pressure limit of solutions to the isentropic Euler equations for modified Chaplygin gasOn the delta shockwave interactions for the isentropic Chaplygin gas system consisting of three scalar equationsInteractions of delta shock waves for the relativistic Chaplygin Euler equations with split delta functions




This page was built for publication: Solutions with concentration to the Riemann problem for the one-dimensional Chaplygin gas equations