Reaction-diffusion systems with initial data of low regularity
From MaRDI portal
Publication:2202251
DOI10.1016/J.JDE.2020.06.042zbMath1448.35291arXiv1908.09693OpenAlexW3040308686MaRDI QIDQ2202251
El Haj Laamri, Perthame, Benoît
Publication date: 18 September 2020
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.09693
Reaction-diffusion equations (35K57) A priori estimates in context of PDEs (35B45) Semilinear parabolic equations (35K58) Initial-boundary value problems for second-order parabolic systems (35K51)
Related Items (6)
Global existence and asymptotic behavior for a reaction-diffusion system with unbounded coefficients ⋮ A Route to the Hydrodynamic Limit of a Reaction-Diffusion Master Equation Using Gradient Structures ⋮ A class of fractional parabolic reaction-diffusion systems with control of total mass: theory and numerics ⋮ Global renormalised solutions and equilibration of reaction-diffusion systems with nonlinear diffusion ⋮ Existence of a global weak solution for a reaction-diffusion problem with membrane conditions ⋮ Global existence in reaction-diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptive effects
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global existence for a class of quadratic reaction-diffusion systems with nonlinear diffusions and \(L^1\) initial data
- The porous medium equation with measure data
- Global existence for reaction-diffusion systems with nonlinear diffusion and control of mass
- Exponential decay towards equilibrium and global classical solutions for nonlinear reaction-diffusion systems
- Global existence of classical solutions for a class of reaction-diffusion systems
- Global existence in reaction-diffusion systems with control of mass: a survey
- Global solutions of reaction-diffusion systems
- Conservative cross diffusions and pattern formation through relaxation
- Finite time blowup for semilinear reactive-diffusive systems
- Weak solutions and supersolutions in \(L^1\) for reaction-diffusion systems
- Global existence for reaction-diffusion systems with dissipation of mass and quadratic growth
- Global classical solutions to quadratic systems with mass control in arbitrary dimensions
- Solutions of the 4-species quadratic reaction-diffusion system are bounded and \(C^\infty\)-smooth, in any space dimension
- Parabolic equations in biology. Growth, reaction, movement and diffusion
- Improved Duality Estimates and Applications to Reaction-Diffusion Equations
- Global Existence for Semilinear Parabolic Systems
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
- Coupled system of reaction-diffusion equations and applications in carrier facilitated diffusion
- The Cahn–Hilliard gradient theory for phase separation with non-smooth free energy Part I: Mathematical analysis
- Blowup in Reaction-Diffusion Systems with Dissipation Of Mass
- Influence of mixed boundary conditions in some reaction–diffusion systems
- Stationary reaction–diffusion systems in L1
- Blowup in Reaction-Diffusion Systems with Dissipation of Mass
- Regularity analysis for systems of reaction-diffusion equations
- Dissipative reaction diffusion systems with quadratic growth
- Some existence and regularity results for porous media and fast diffusion equations with a gradient term
- Global-in-time behavior of Lotka-Volterra system with diffusion
- Global Existence for Quadratic Systems of Reaction-Diffusion
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
This page was built for publication: Reaction-diffusion systems with initial data of low regularity