Attainable profiles for conservation laws with flux function spatially discontinuous at a single point

DOI10.1051/cocv/2020044zbMath1458.35263arXiv2007.04421OpenAlexW3040976320MaRDI QIDQ5854417

Publication date: 17 March 2021

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.04421

zbMATH Keywords

discontinuous flux attainable profiles

Mathematics Subject Classification ID

Controllability (93B05) Hyperbolic conservation laws (35L65) Initial value problems for nonlinear first-order PDEs (35F25)

Related Items (3)

Differentiability With Respect to the Initial Condition for Hamilton--Jacobi Equations ⋮ On the controllability of entropy solutions of scalar conservation laws at a junction via Lyapunov methods ⋮ Unnamed Item

Cites Work

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Macroscopic models for vehicular flows and crowd dynamics: theory and applications. Classical and non-classical advanced mathematics for real life applications
A theory of \(L ^{1}\)-dissipative solvers for scalar conservation laws with discontinuous flux
Analysis of a singular hyperbolic system of conservation laws
Stability of conservation laws with discontinuous coefficients
Blood flow through compliant vessels after endovascular repair: wall deformations induced by the discontinuous wall properties
Initial layers and uniqueness of weak entropy solutions to hyperbolic conservation laws
Solutions of Hamilton-Jacobi equations and scalar conservation laws with discontinuous space-time dependence
Convergence of the Lax-Friedrichs scheme and stability for conservation laws with a discontinuous space-time dependent flux
On vanishing viscosity approximation of conservation laws with discontinuous flux
Vanishing viscosity solutions for conservation laws with regulated flux
Flows on networks: recent results and perspectives
Numerical method for optimal control problems governed by nonlinear hyperbolic systems of PDEs
Conservation laws with discontinuous flux
Semi-Godunov schemes for general triangular systems of conservation laws
A large-time-stepping scheme for balance equations
Numerical gradient methods for flux identification in a system of conservation laws
Closed-form and finite difference solutions to a population balance model of grinding mills
New approaches to describing admissibility of solutions of scalar conservation laws with discontinuous flux
On the modelling and management of traffic
Slow Erosion with Rough Geological Layers
On interface transmission conditions for conservation laws with discontinuous flux of general shape
ANALYSIS AND APPROXIMATION OF A SCALAR CONSERVATION LAW WITH A FLUX FUNCTION WITH DISCONTINUOUS COEFFICIENTS
Existence and nonexistence of TV bounds for scalar conservation laws with discontinuous flux
Hyperbolic systems of conservation laws II
OPTIMAL ENTROPY SOLUTIONS FOR CONSERVATION LAWS WITH DISCONTINUOUS FLUX-FUNCTIONS
An Engquist–Osher-Type Scheme for Conservation Laws with Discontinuous Flux Adapted to Flux Connections
Solution of the Cauchy Problem for a Conservation Law with a Discontinuous Flux Function
Scalar non-linear conservation laws with integrable boundary data
Convergence Results for the Flux Identification in a Scalar Conservation Law
On the controllability of the Burger equation
On the Attainable Set for Scalar Nonlinear Conservation Laws with Boundary Control
Convergence of a Godunov scheme for conservation laws with a discontinuous flux lacking the crossing condition
Uniqueness for scalar conservation laws with discontinuous flux via adapted entropies
On the Optimization of Conservation Law Models at a Junction with Inflow and Flow Distribution Controls
A conservation Law with Point Source and Discontinuous Flux Function Modelling Continuous Sedimentation
Existence and Uniqueness of Entropy Solution of Scalar Conservation Laws with a Flux Function Involving Discontinuous Coefficients
A Model of Continuous Sedimentation of Flocculated Suspensions in Clarifier-Thickener Units
Shock Waves on the Highway
EXISTENCE OF STRONG TRACES FOR QUASI-SOLUTIONS OF MULTIDIMENSIONAL CONSERVATION LAWS
On kinematic waves II. A theory of traffic flow on long crowded roads
Hyperbolic Conservation Laws in Continuum Physics
Strong traces for solutions of multidimensional scalar conservation laws

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