Hard congestion limit of the dissipative Aw-Rascle system with a polynomial offset function
From MaRDI portal
Publication:6180481
DOI10.1016/j.jmaa.2023.128028arXiv2306.01379OpenAlexW4389670510MaRDI QIDQ6180481
Publication date: 19 January 2024
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2306.01379
Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations (35Q30) Traffic problems in operations research (90B20) Suspensions (76T20) Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) PDEs in connection with mathematical programming (35Q90)
Cites Work
- Unnamed Item
- Solutions of the Aw-Rascle-Zhang system with point constraints
- Approaching Chaplygin pressure limit of solutions to the Aw-Rascle model
- The Aw-Rascle traffic model with locally constrained flow
- Global solutions of the equations of one-dimensional, compressible flow with large data and forces, and with differing end states
- On a free boundary barotropic model
- Discontinuous solutions of the Navier-Stokes equations for multidimensional flows of heat-conducting fluids
- The resonance behavior for the coupling of two Aw-Rascle traffic models
- Compressible fluids and active potentials
- A short proof of commutator estimates
- A model for the formation and evolution of traffic jams
- Derivation of Continuum Traffic Flow Models from Microscopic Follow-the-Leader Models
- Nonlinear Follow-the-Leader Models of Traffic Flow
- Resurrection of "Second Order" Models of Traffic Flow
- Concentration in vanishing adiabatic exponent limit of solutions to the Aw–Rascle traffic model
- New effective pressure and existence of global strong solution for compressible Navier–Stokes equations with general viscosity coefficient in one dimension
- On kinematic waves II. A theory of traffic flow on long crowded roads
- Analysis of the generalized Aw-Rascle model
