Kinetic layers and coupling conditions for nonlinear scalar equations on networks
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Publication:3176550
DOI10.1088/1361-6544/aabc91zbMath1391.82025arXiv1801.00457OpenAlexW2782447872WikidataQ129700068 ScholiaQ129700068MaRDI QIDQ3176550
Publication date: 23 July 2018
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.00457
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Related Items (8)
Boundary conditions for hyperbolic relaxation systems with characteristic boundaries of type I ⋮ Central schemes for networked scalar conservation laws ⋮ Construction of boundary conditions for hyperbolic relaxation approximations I: The linearized Suliciu model ⋮ Kinetic and Moment Models for Cell Motion in Fiber Structures ⋮ Kinetic relaxation to entropy based coupling conditions for isentropic flow on networks ⋮ A Nonlinear Discrete Velocity Relaxation Model For Traffic Flow ⋮ Boundary conditions for hyperbolic relaxation systems with characteristic boundaries of type II ⋮ Entropy Dissipation at the Junction for Macroscopic Traffic Flow Models
Cites Work
- Unnamed Item
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- On the well-posedness of entropy solutions to conservation laws with a zero-flux boundary condition
- Gas flow in pipeline networks
- Hyperbolic conservation laws with relaxation
- Boundary layers and homogenization of transport processes
- Nonlinear boundary layers of the Boltzmann equation. I: Existence
- Boundary conditions and boundary layers for a multi-dimensional relaxation model.
- Traveling waves for degenerate diffusive equations on networks
- Boundary-layer behavior in the fluid-dynamic limit for a nonlinear model Boltzmann equation
- Kinetic approximation of a boundary value problem for conservation laws
- A review of conservation laws on networks
- Well-posedness for vanishing viscosity solutions of scalar conservation laws on a network
- CONVERGENCE OF A RELAXATION APPROXIMATION TO A BOUNDARY VALUE PROBLEM FOR CONSERVATION LAWS
- Kinetic and related macroscopic models for chemotaxis on networks
- Half-space kinetic equations with general boundary conditions
- First order quasilinear equations with boundary conditions
- A Macro-kinetic Hybrid Model for Traffic Flow on Road Networks
- On the Cauchy Problem for the p-System at a Junction
- On $2\times2$ Conservation Laws at a Junction
- Riemann Solvers and Numerical Methods for Fluid Dynamics
- A classification of well-posed kinetic layer problems
- Asymptotic limit of initial boundary value problems for conservation laws with relaxational extensions
- Boundary conditions for hyperbolic systems with stiff source terms
- On the Modelling and Stabilization of Flows in Networks of Open Canals
- Kinetic Layers and Coupling Conditions for Macroscopic Equations on Networks I: The Wave Equation
- Diffusion Approximation and Computation of the Critical Size
- Well-posedness of general boundary-value problems for scalar conservation laws
- Traffic Flow on a Road Network
- A hyperbolic model of chemotaxis on a network: a numerical study
- EULER SYSTEM FOR COMPRESSIBLE FLUIDS AT A JUNCTION
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