Entropy methods for reaction-diffusion equations: Slowly growing a-priori bounds
From MaRDI portal
Publication:951981
DOI10.4171/RMI/541zbMath1171.35330OpenAlexW2069664970MaRDI QIDQ951981
Laurent Desvillettes, Klemens Fellner
Publication date: 5 November 2008
Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.rmi/1218475348
reaction-diffusionentropy methodexponential decay1D system of four speciesreversible reaction-diffusion equationsslowly growing a priori estimates
Related Items (38)
Close-to-equilibrium behaviour of quadratic reaction-diffusion systems with detailed balance ⋮ Explicit exponential convergence to equilibrium for nonlinear reaction-diffusion systems with detailed balance condition ⋮ Weak-strong uniqueness of solutions to entropy-dissipating reaction-diffusion equations ⋮ Global-in-time behavior of weak solutions to reaction-diffusion systems with inhomogeneous Dirichlet boundary condition ⋮ Trend to Equilibrium for Reaction-Diffusion Systems Arising from Complex Balanced Chemical Reaction Networks ⋮ On uniform decay of the entropy for reaction-diffusion systems ⋮ Diffusive relaxation to equilibria for an extended reaction-diffusion system on the real line ⋮ Quantitative dynamics of irreversible enzyme reaction–diffusion systems * ⋮ Solution of a class of reaction-diffusion systems via logarithmic Sobolev inequality ⋮ Exponential decay toward equilibrium via log convexity for a degenerate reaction-diffusion system ⋮ Global regularity and convergence to equilibrium of reaction-diffusion systems with nonlinear diffusion ⋮ Asymptotic stability of constant steady states for a \(2\times 2\) reaction-diffusion system arising in cancer modelling ⋮ Trend to equilibrium for a reaction-diffusion system modelling reversible enzyme reaction ⋮ Well-posedness and exponential equilibration of a volume-surface reaction-diffusion system with nonlinear boundary coupling ⋮ Uniform convergence to equilibrium for a family of drift-diffusion models with trap-assisted recombination and the limiting Shockley-Read-Hall model ⋮ Indirect Diffusion Effect in Degenerate Reaction-Diffusion Systems ⋮ Exponential decay towards equilibrium for the inhomogeneous Aizenman-Bak model ⋮ ASYMPTOTIC BEHAVIOR IN CHEMICAL REACTION-DIFFUSION SYSTEMS WITH BOUNDARY EQUILIBRIA ⋮ Global existence of renormalized solutions to entropy-dissipating reaction-diffusion systems ⋮ Existence, Decay Time and Light Yield for a Reaction-Diffusion-Drift Equation in the Continuum Physics of Scintillators ⋮ Asymptotic behavior of solutions to chemical reaction-diffusion systems ⋮ The entropy method for reaction-diffusion systems without detailed balance: first order chemical reaction networks ⋮ The fast-sorption and fast-surface-reaction limit of a heterogeneous catalysis model ⋮ On the entropy method and exponential convergence to equilibrium for a recombination-drift-diffusion system with self-consistent potential ⋮ Estimates for the large time behavior of the Landau equation in the Coulomb case ⋮ Exponential decay towards equilibrium and global classical solutions for nonlinear reaction-diffusion systems ⋮ Regularity and mass conservation for discrete coagulation-fragmentation equations with diffusion ⋮ Convergence to equilibrium of renormalised solutions to nonlinear chemical reaction-diffusion systems ⋮ Convergence to the complex balanced equilibrium for some chemical reaction-diffusion systems with boundary equilibria ⋮ Duality and entropy methods for reversible reaction-diffusion equations with degenerate diffusion ⋮ Exponential convergence to equilibriumviaLyapounov functionals for reaction-diffusion equations arising from non reversible chemical kinetics ⋮ Global classical solutions for mass-conserving, (super)-quadratic reaction-diffusion systems in three and higher space dimensions ⋮ Stability in inverse source problems for nonlinear reaction-diffusion systems ⋮ Global classical solutions to quadratic systems with mass control in arbitrary dimensions ⋮ Dissipative reaction diffusion systems with quadratic growth ⋮ Rigorous Derivation of a Nonlinear Diffusion Equation as Fast-Reaction Limit of a Continuous Coagulation-Fragmentation Model with Diffusion ⋮ Global Existence Analysis of Energy-Reaction-Diffusion Systems ⋮ Improved Duality Estimates and Applications to Reaction-Diffusion Equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On a result of K. Masuda concerning reaction-diffusion equations
- On the global existence and asymptotic behavior of solutions of reaction- diffusion equations
- Global solutions of reaction-diffusion systems
- Best constants for Gagliardo-Nirenberg inequalities and applications to nonlinear diffusions.
- Weak solutions and supersolutions in \(L^1\) for reaction-diffusion systems
- On the trend to equilibrium for some dissipative systems with slowly increasing a priori bounds.
- Global solutions of reaction-diffusion systems with a balance law and nonlinearities of exponential growth
- On the trend to global equilibrium for spatially inhomogeneous kinetic systems: the Boltzmann equation
- Sharp entropy dissipation bounds and explicit rate of trend to equilibrium for the spatially homogeneous Boltzmann equation
- Cercignani's conjecture is sometimes true and always almost true
- Convergence to global equilibrium for spatially inhomogeneous kinetic models of non-micro-reversible processes
- Exponential decay toward equilibrium via entropy methods for reaction-diffusion equations
- Global Existence for Semilinear Parabolic Systems
- Global existence for semilinear parabolic systems.
- Global Existence and Boundedness in Reaction-Diffusion Systems
- Large Time Behavior of Solutions of Systems of Nonlinear Reaction-Diffusion Equations
- Asymptotic behavior of global solutions for some reaction-diffusion systems
- Stability and Lyapunov Functions for Reaction-Diffusion Systems
- Free energy and dissipation rate for reaction diffusion processes of electrically charged species
- Energetic Estimates and Asymptotics for Electro‐Reaction‐Diffusion Systems
- Global existence and boundedness for a class of inhomogeneous semilinear parabolic systems
- Equilibration Rate for the Linear Inhomogeneous Relaxation-Time Boltzmann Equation for Charged Particles
- Fine Asymptotics for Fast Diffusion Equations
- Long-time behavior for a nonlinear fourth-order parabolic equation
- Blowup in Reaction-Diffusion Systems with Dissipation of Mass
- On the spatially homogeneous landau equation for hard potentials part ii : h-theorem and applications
- Global Existence for Quadratic Systems of Reaction-Diffusion
This page was built for publication: Entropy methods for reaction-diffusion equations: Slowly growing a-priori bounds