Uniform boundedness and convergence of solutions to the systems with a single nonzero cross-diffusion
From MaRDI portal
Publication:1874571
DOI10.1016/S0022-247X(03)00045-3zbMath1032.35080MaRDI QIDQ1874571
Publication date: 25 May 2003
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
asymptotic behaviora priori boundsLyapunov functionalszero Neumann boundary conditionsone space dimensionspatial segregation of competing and diffusing species
Related Items (15)
On triangular reaction cross-diffusion systems with possible self-diffusion ⋮ Global behavior for a diffusive predator-prey model with stage structure and nonlinear density restriction. II: The case in \(\mathbb R^1\) ⋮ The regularity of weak solutions for certain \(n\)-dimensional strongly coupled parabolic systems ⋮ Global behavior for a diffusive predator-prey system with Holling type II functional response ⋮ Global stability in ``delay systems with cross-diffusions dominated by self-diffusions ⋮ Uniform boundedness and convergence of global solutions to a strongly-coupled parabolic system with three competitive species ⋮ Global behavior for a strongly coupled predator-prey model with one resource and two consumers ⋮ Uniform boundedness and stability of global solutions in a strongly coupled three-species cooperating model ⋮ Global behavior for a strongly coupled model of plankton allelopathy ⋮ Lie symmetries of the Shigesada-Kawasaki-Teramoto system ⋮ Strongly coupled elliptic systems and applications to Lotka-Volterra models with cross-diffusion ⋮ Global existence of weak solutions to a prey-predator model with strong cross-diffusion ⋮ A class of invasion models in ecology with a free boundary and with cross-diffusion and self-diffusion ⋮ Diffusive and nondiffusive population models ⋮ New results for triangular reaction cross diffusion system
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Dynamic theory of quasilinear parabolic equations. II: Reaction-diffusion systems
- Dynamic theory of quasilinear parabolic systems. III: Global existence
- Semigroups of linear operators and applications to partial differential equations
- An initial-boundary-value problem for a certain density-dependent diffusion system
- Geometric theory of semilinear parabolic equations
- On the global existence of a cross-diffusion system
- Smooth solutions to a quasi-linear system of diffusion equations for a certain population model
- Global solution to some quasilinear parabolic system in population dynamics
This page was built for publication: Uniform boundedness and convergence of solutions to the systems with a single nonzero cross-diffusion
