Explicit formulation for the Dirichlet problem for parabolic-hyperbolic conservation laws
DOI10.3934/nhm.2016.11.203zbMath1343.35179OpenAlexW2318733997MaRDI QIDQ262140
Mohamed Karimou Gazibo, Boris P. Andreianov
Publication date: 29 March 2016
Published in: Networks and Heterogeneous Media (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/nhm.2016.11.203
Dirichlet boundary conditiondegenerate parabolic-hyperbolic equationdissipative boundary conditionsstrong entropy formulationuniqueness proofweakly trace-regular solutions
Initial-boundary value problems for PDEs of mixed type (35M13) Initial-boundary value problems for first-order hyperbolic equations (35L04)
Cites Work
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- Entropy formulation of degenerate parabolic equation with zero-flux boundary condition
- Nonhomogeneous Dirichlet problems for degenerate parabolic-hyperbolic equations
- On the well-posedness of entropy solutions to conservation laws with a zero-flux boundary condition
- Rigorous estimates on balance laws in bounded domains
- Two-phase flows involving capillary barriers in heterogeneous porous media
- On the strong pre-compactness property for entropy solutions of a degenerate elliptic equation with discontinuous flux
- Strong traces for degenerate parabolic-hyperbolic equations
- Boundary conditions for nonlinear hyperbolic systems of conservation laws
- Divergence-measure fields and hyperbolic conservation laws
- Entropy solutions for nonlinear degenerate problems
- Convergence of finite volume monotone schemes for scalar conservation laws on bounded domains
- Strong entropy formulation of degenerated hyperbolic-parabolic scalar laws
- Regularity of weak solutions of the nonlinear Fokker-Planck equation
- Uniqueness of entropy solutions for nonlinear degenerate parabolic problems
- Uniqueness for an elliptic-parabolic problem with Neumann boundary condition
- Scalar conservation laws with nonlinear boundary conditions
- Scalar conservation laws with general boundary condition and continuous flux function
- Convergence of Finite Volume Scheme for Degenerate Parabolic Problem with Zero Flux Boundary Condition
- First order quasilinear equations with boundary conditions
- DISCRETE DUALITY FINITE VOLUME SCHEMES FOR DOUBLY NONLINEAR DEGENERATE HYPERBOLIC-PARABOLIC EQUATIONS
- On a Free Boundary Problem for a Strongly Degenerate Quasi-Linear Parabolic Equation with an Application to a Model of Pressure Filtration
- Entropy Formulation for Parabolic Degenerate Equations with General Dirichlet Boundary Conditions and Application to the Convergence of FV Methods
- Monotone Difference Approximations Of BV Solutions To Degenerate Convection-Diffusion Equations
- On generalized entropy solutions of the Cauchy problem for a first-order quasilinear equation in the class of locally summable functions
- L1Solutions to First Order Hyperbolic Equations in Bounded Domains
- Well-posedness of general boundary-value problems for scalar conservation laws
- EXISTENCE OF STRONG TRACES FOR QUASI-SOLUTIONS OF MULTIDIMENSIONAL CONSERVATION LAWS
- STRONG TRACES FOR AVERAGED SOLUTIONS OF HETEROGENEOUS ULTRA-PARABOLIC TRANSPORT EQUATIONS
- FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
- Strong traces for solutions of multidimensional scalar conservation laws
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