Homogeneous Dirichlet problems for quasilinear anisotropic degenerate parabolic-hyperbolic equations
DOI10.1016/j.jde.2012.01.027zbMath1241.35139OpenAlexW2092817755MaRDI QIDQ413441
Publication date: 7 May 2012
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2012.01.027
existenceuniquenessentropy solutionsboundary entropy-entropy flux tripledoubling variables devicehomogeneous boundary condition
Initial-boundary value problems for second-order parabolic equations (35K20) PDEs of mixed type (35M10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Comparison principles in context of PDEs (35B51)
Related Items (29)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Degenerate triply nonlinear problems with nonhomogeneous boundary conditions
- Existence and uniqueness of solutions to an aggregation equation with degenerate diffusion
- Uniqueness and existence for anisotropic degenerate parabolic equations with boundary conditions on a bounded rectangle
- Nonhomogeneous Dirichlet problems for degenerate parabolic-hyperbolic equations
- Adaptive multiresolution schemes with local time stepping for two-dimensional degenerate reaction-diffusion systems
- Entropy solutions for nonlinear degenerate problems
- Convergence of finite volume monotone schemes for scalar conservation laws on bounded domains
- Well-posedness for non-isotropic degenerate parabolic-hyperbolic equations
- On strongly degenerate convection-diffusion problems modeling sedimentation-consolidation processes
- On the uniqueness and stability of entropy solutions of nonlinear degenerate parabolic equations with rough coefficients
- The first boundary value problem for quasilinear degenerate parabolic equations of second order in several space variables
- A note on the uniqueness of entropy solutions of nonlinear degenerate parabolic equations.
- The equivalence of weak solutions and entropy solutions of nonlinear degenerate second-order equations
- Dissipative and entropy solutions to non-isotropic degenerate parabolic balance laws
- Fully adaptive multiresolution schemes for strongly degenerate parabolic equations with discontinuous flux
- Quasilinear anisotropic degenerate parabolic equations with time-space dependent diffusion coefficients
- Stability of Entropy Solutions to the Cauchy Problem for a Class of Nonlinear Hyperbolic-Parabolic Equations
- First order quasilinear equations with boundary conditions
- Large-time behavior of periodic entropy solutions to anisotropic degenerate parabolic-hyperbolic equations
- DISCRETE DUALITY FINITE VOLUME SCHEMES FOR DOUBLY NONLINEAR DEGENERATE HYPERBOLIC-PARABOLIC EQUATIONS
- A Kinetic Formulation of Multidimensional Scalar Conservation Laws and Related Equations
- 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
- Renormalized Entropy Solutions for Quasi-linear Anisotropic Degenerate Parabolic Equations
- Diffusive BGK approximations for nonlinear multidimensional parabolic equations
- CAUCHY'S PROBLEM FOR DEGENERATE SECOND ORDER QUASILINEAR PARABOLIC EQUATIONS
- FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
- 𝐿¹–framework for continuous dependence and error estimates for quasilinear anisotropic degenerate parabolic equations
This page was built for publication: Homogeneous Dirichlet problems for quasilinear anisotropic degenerate parabolic-hyperbolic equations