Singular solutions to the Riemann problem for a macroscopic production model
From MaRDI portal
Publication:6065442
DOI10.1002/zamm.201600171MaRDI QIDQ6065442
Publication date: 11 December 2023
Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)
Riemann problemwave interactionhyperbolic conservation lawcomposite wavevacuum statedelta standing wave
Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)
Related Items (14)
The asymptotic limits of Riemann solutions for the isentropic extended Chaplygin gas dynamic system with the vanishing pressure ⋮ Concentration phenomenon of Riemann solutions for the relativistic Euler equations with the extended Chaplygin gas ⋮ The convergence of Riemann solutions to the modified Chaplygin gas equations with a Coulomb-like friction term as the pressure vanishes ⋮ On the wave interactions for the drift-flux equations with the Chaplygin gas ⋮ The adiabatic exponent limits of Riemann solutions for the extended macroscopic production model ⋮ The singular limits of Riemann solutions to a chemotaxis model with flux perturbation ⋮ The delta-shock wave for the two variables of a class of Temple system ⋮ Kinetic models and intrinsic timescales: simulation comparison for a 2nd order queueing model ⋮ The singular limits of solutions to the Riemann problem for the liquid–gas two-phase isentropic flow model ⋮ Construction of global solutions for a symmetric system of Keyfitz-Kranzer type with three piecewise constant states ⋮ Riemann problem for the Aw-Rascle model of traffic flow with general pressure ⋮ The perturbed Riemann problem for a macroscopic production model with Chaplygin gas ⋮ The perturbed Riemann problem for special Keyfitz-Kranzer system with three piecewise constant states ⋮ The vanishing pressure limit of Riemann solutions to the non-isentropic Euler equations for generalized Chaplygin gas
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- One-dimensional nonlinear chromatography system and delta-shock waves
- Delta shock waves in chromatography equations
- Formation of delta shocks and vacuum states in the vanishing pressure limit of Riemann solutions to the perturbed Aw-Rascle model
- Interactions of delta shock waves in a strictly hyperbolic system of conservation laws
- Delta shock wave formation in the case of triangular hyperbolic system of conservation laws
- Shadow waves: Entropies and interactions for delta and singular shocks
- On the vacuum state for the isentropic gas dynamics equations
- Delta-shock waves as limits of vanishing viscosity for hyperbolic systems of conservation laws
- Dynamics of propagation and interaction of \(\delta\)-shock waves in conservation law systems
- Definition and weak stability of nonconservative products
- Wave interactions and stability of the Riemann solutions for the chromatography equations
- \(\delta ^{\prime }\)-shock waves as a new type of solutions to systems of conservation laws
- Delta shock waves for the chromatography equations as self-similar viscosity limits
- Singular solutions of a fully nonlinear 2 × 2 system of conservation laws
- Interactions of Elementary Waves for the Aw–Rascle Model
- 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
- Representation of Weak Limits and Definition of Nonconservative Products
- Some New Well-Posedness Results for Continuity and Transport Equations, and Applications to the Chromatography System
- Resurrection of "Second Order" Models of Traffic Flow
- Systems of Conservation Laws with Invariant Submanifolds
- Formation of Delta Standing Wave for a Scalar Conservation Law with a Linear Flux Function Involving Discontinuous Coefficients
- Data-Fitted Second-Order Macroscopic Production Models
- On a regularization of a scalar conservation law with discontinuous coefficients
- Existence of Solutions for Supply Chain Models Based on Partial Differential Equations
- A Model for the Dynamics of large Queuing Networks and Supply Chains
- Hyperbolic Conservation Laws in Continuum Physics
This page was built for publication: Singular solutions to the Riemann problem for a macroscopic production model
