Global existence for reaction-diffusion systems with dissipation of mass and quadratic growth
From MaRDI portal
Publication:1711676
DOI10.1007/s00028-018-0458-yOpenAlexW2963996531WikidataQ129579762 ScholiaQ129579762MaRDI QIDQ1711676
Publication date: 18 January 2019
Published in: Journal of Evolution Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.05193
Dynamical systems and ergodic theory (37-XX) Numerical analysis (65-XX) Partial differential equations (35-XX)
Related Items
Global well-posedness for volume–surface reaction–diffusion systems ⋮ Diffusive relaxation to equilibria for an extended reaction-diffusion system on the real line ⋮ Quasilinear reaction diffusion systems with mass dissipation ⋮ Dimension estimate of attractors for complex networks of reaction-diffusion systems applied to an ecological model ⋮ Asymptotic analysis for a nonlinear reaction-diffusion system modeling an infectious disease ⋮ Examples of finite time blow up in mass dissipative reaction-diffusion systems with superquadratic growth ⋮ A class of fractional parabolic reaction-diffusion systems with control of total mass: theory and numerics ⋮ Analysis of mass controlled reaction-diffusion systems with nonlinearities having critical growth rates ⋮ Global renormalised solutions and equilibration of reaction-diffusion systems with nonlinear diffusion ⋮ Boundedness for reaction–diffusion systems with Lyapunov functions and intermediate sum conditions ⋮ Reaction-diffusion systems with initial data of low regularity ⋮ Controllability of a \(4 \times 4\) quadratic reaction-diffusion system ⋮ Indirect Diffusion Effect in Degenerate Reaction-Diffusion Systems ⋮ Local controllability of reaction-diffusion systems around nonnegative stationary states ⋮ Uniform Boundedness for Reaction-Diffusion Systems with Mass Dissipation ⋮ Uniform-in-time bounds for quadratic reaction-diffusion systems with mass dissipation in higher dimensions ⋮ Global null-controllability and nonnegative-controllability of slightly superlinear heat equations ⋮ Global classical solutions to quadratic systems with mass control in arbitrary dimensions ⋮ Blow-up analysis of solutions for weakly coupled degenerate parabolic systems with nonlinear boundary conditions ⋮ Solutions of the 4-species quadratic reaction-diffusion system are bounded and \(C^\infty\)-smooth, in any space dimension ⋮ Reaction-Diffusion-Advection Systems with Discontinuous Diffusion and Mass Control ⋮ How Reaction-Diffusion PDEs Approximate the Large-Population Limit of Stochastic Particle Models ⋮ 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
- On uniform decay of the entropy for reaction-diffusion systems
- Asymptotic behavior of solutions to chemical reaction-diffusion systems
- The entropy method for reaction-diffusion systems without detailed balance: first order chemical reaction networks
- Exponential decay towards equilibrium and global classical solutions for nonlinear reaction-diffusion systems
- Global existence in reaction-diffusion systems with control of mass: a survey
- Solutions of the 4-species quadratic reaction-diffusion system are bounded and \(C^\infty\)-smooth, in any space dimension
- Explicit exponential convergence to equilibrium for nonlinear reaction-diffusion systems with detailed balance condition
- Exponential decay toward equilibrium via entropy methods for reaction-diffusion equations
- Improved Duality Estimates and Applications to Reaction-Diffusion Equations
- Semilinear Parabolic Problems Define Semiflows on C k Spaces
- Exponential convergence to equilibriumviaLyapounov functionals for reaction-diffusion equations arising from non reversible chemical kinetics
- Global Regularity of Solutions to Systems of Reaction–Diffusion with Sub-Quadratic Growth in Any Dimension
- Regularity analysis for systems of reaction-diffusion equations
- Dissipative reaction diffusion systems with quadratic growth
- Global Existence for Quadratic Systems of Reaction-Diffusion
- Reaction versus diffusion: blow-up induced and inhibited by diffusivity
