Renormalized solutions for convection-diffusion problems involving a nonlocal operator
DOI10.1007/s00030-021-00713-8zbMath1471.35305OpenAlexW3191460183MaRDI QIDQ2049941
Idrissa Ibrango, Dofyniwassouani Alain Houede, Adama Ouédraogo
Publication date: 27 August 2021
Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00030-021-00713-8
entropy solutionnonlocal operatordegenerate parabolic-hyperbolic equationanisotropic diffusion-convectionKruzhkov doubling of variables methodrenormalized entropy solution
Hyperbolic conservation laws (35L65) Fractional partial differential equations (35R11) Quasilinear parabolic equations (35K59)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Uniqueness of entropy solution for general anisotropic convection-diffusion problems
- Entropy solution theory for fractional degenerate convection-diffusion equations
- Barenblatt profiles for a nonlocal porous medium equation
- Nonlinear porous medium flow with fractional potential pressure
- Entropy formulation for fractal conservation laws
- On the Cauchy problem for Boltzmann equations: Global existence and weak stability
- Renormalized solutions for degenerate elliptic-parabolic problems with nonlinear dynamical boundary conditions and \(L^1\)-data
- Non-uniqueness of weak solutions for the fractal Burgers equation
- Renormalized solutions of the fractional Laplace equation
- Renormalized solution for nonlinear degenerate problems in the whole space
- Entropy solutions for nonlinear degenerate problems
- Well-posedness for non-isotropic degenerate parabolic-hyperbolic equations
- Global solution and smoothing effect for a non-local regularization of a hyperbolic equation.
- A non-local regularization of first order Hamilton-Jacobi equations
- Renormalized entropy solutions of scalar conservation laws with boundary condition
- Uniqueness of entropy solutions for nonlinear degenerate parabolic problems
- \(L^1\)-theory of scalar conservation law with continuous flux function
- A note on uniqueness of entropy solutions to degenerate parabolic equations in \({\mathbb{R}^N}\)
- Fractal first-order partial differential equations
- Quasilinear anisotropic degenerate parabolic equations with time-space dependent diffusion coefficients
- Continuous Dependence Estimates for Nonlinear Fractional Convection-diffusion Equations
- General Fractal Conservation Laws Arising from a Model of Detonations in Gases
- Stability of Entropy Solutions for Levy Mixed Hyperbolic-Parabolic Equations
- OCCURRENCE AND NON-APPEARANCE OF SHOCKS IN FRACTAL BURGERS EQUATIONS
- Existence of renormalized solutions of degenerate elliptic-parabolic problems
- Renormalized Entropy Solutions for Quasi-linear Anisotropic Degenerate Parabolic Equations
- Instabilities and Nonlinear Patterns of Overdriven Detonations in Gases
- Portfolio optimization in a Lévy market with intertemporal substitution and transaction costs
- Nonlocal dissipation measure and L1 kinetic theory for fractional conservation laws
- FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
- Existence and uniqueness of a renormalized solution for a fairly general class of nonlinear parabolic problems
This page was built for publication: Renormalized solutions for convection-diffusion problems involving a nonlocal operator