The adiabatic exponent limits of Riemann solutions for the extended macroscopic production model

DOI10.1051/mmnp/2022029zbMath1514.35284OpenAlexW4289816936WikidataQ114105336 ScholiaQ114105336MaRDI QIDQ6043828

Chun Shen, Zhijian Wei, Shan Shan

Publication date: 25 May 2023

Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/mmnp/2022029

zbMATH Keywords

Riemann problemvacuum statedelta shock waveadiabatic exponentmacroscopic production model

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic systems (35L45)

Cites Work

• Unnamed Item
• Delta wave and vacuum state for generalized Chaplygin gas dynamics system as pressure vanishes
• Formation of delta shocks and vacuum states in the vanishing pressure limit of Riemann solutions to the perturbed Aw-Rascle model
• The vanishing pressure limits of Riemann solutions to the Chaplygin gas equations with a source term
• Delta-shocks and vacuums in zero-pressure gas dynamics by the flux approximation
• Shadow waves: Entropies and interactions for delta and singular shocks
• A random sampling method for a family of temple-class systems of conservation laws
• Kinetic models and intrinsic timescales: simulation comparison for a 2nd order queueing model
• Concentration of mass in the pressureless limit of Euler equations for power law
• Dynamics of propagation and interaction of \(\delta\)-shock waves in conservation law systems
• Delta shock waves in the shallow water system
• Nonclassical symmetry analysis, conservation laws of one-dimensional macroscopic production model and evolution of nonlinear waves
• The perturbed Riemann problem for a macroscopic production model with Chaplygin gas
• Riemann problems and delta-shock solutions for a Keyfitz-Kranzer system with a forcing term
• Positivity-preserving numerical scheme for hyperbolic systems with \(\delta\)-shock solutions and its convergence analysis
• Exact Riemann solutions for the drift-flux equations of two-phase flow under gravity
• Nonlinear wave interactions in a macroscopic production model
• The limits of Riemann solutions to Euler equations of compressible fluid flow with a source term
• Zero-exponent limit to the extended Chaplygin gas equations with friction
• Concentration of mass in the pressureless limit of the Euler equations of one-dimensional compressible fluid flow
• Concentration and cavitation phenomena of Riemann solutions for the isentropic Euler system with the logarithmic equation of state
• Delta shock wave and wave interactions in a thin film of a perfectly soluble anti-surfactant solution
• Delta shock waves in shallow water flow
• Singular solutions of a fully nonlinear 2 × 2 system of conservation laws
• The Riemann problem for the transportation equations in gas dynamics
• Formation of $\delta$-Shocks and Vacuum States in the Vanishing Pressure Limit of Solutions to the Euler Equations for Isentropic Fluids
• The application of split‐coefficient matrix method to transient two phase flows
• The limits of Riemann solutions to the simplified pressureless Euler system with flux approximation
• Existence and uniqueness of singular solutions for a conservation law arising in magnetohydrodynamics
• Kinetic and Fluid Model Hierarchies for Supply Chains
• Concentration in the zero-exponent limit of solutions to the isentropic Euler equations for extended Chaplygin gas
• The limiting behavior of the Riemann solution to the isentropic Euler system for logarithmic equation of state with a source term
• Systems of Conservation Laws with Invariant Submanifolds
• The vanishing adiabatic exponent limits of Riemann solutions to the isentropic Euler equations for power law with a Coulomb-like friction term
• Concentration in the flux approximation limit of Riemann solutions to the extended Chaplygin gas equations with friction
• High Mach number limit of one-dimensional piston problem for non-isentropic compressible Euler equations: Polytropic gas
• Pressure and flux-approximation to the isentropic relativistic Euler equations for modified Chaplygin gas
• Data-Fitted Second-Order Macroscopic Production Models
• Delta shock wave as self-similar viscosity limit for a strictly hyperbolic system of conservation laws
• DELTA SHOCK WAVES AS A LIMIT OF SHOCK WAVES
• A Model for the Dynamics of large Queuing Networks and Supply Chains
• Well posedness for pressureless flow
• Singular solutions to the Riemann problem for a macroscopic production model
• The intrinsic phenomena of concentration and cavitation on the Riemann solutions for the perturbed macroscopic production model

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