On a terminal value problem for parabolic reaction-diffusion systems with nonlocal coupled diffusivity terms

DOI10.1016/j.cnsns.2021.106248zbMath1483.35336OpenAlexW4205360095MaRDI QIDQ2076276

Nguyen Huy Tuan, Vo Van Au, Phan Thi Khanh Van, Tomás Caraballo Garrido

Publication date: 16 February 2022

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2021.106248

zbMATH Keywords

ill-posed problempopulation densityFaedo-Galerkin methodnonlocal diffusionquasi-reversibility methodnonlinear reaction

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Integro-partial differential equations (35R09) Initial-boundary value problems for second-order parabolic systems (35K51)

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Cites Work

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• Robustness of nonautonomous attractors for a family of nonlocal reaction-diffusion equations without uniqueness
• Parabolic reaction-diffusion systems with nonlocal coupled diffusivity terms
• Global attractor for a nonlocal \(p\)-Laplacian equation without uniqueness of solution
• Cross-diffusion systems with excluded-volume effects and asymptotic gradient flow structures
• Synchronization and control of coupled reaction-diffusion systems of the FitzHugh-Nagumo type
• On the asymptotic behaviour of some nonlocal problems
• Diffusion models with blow-up
• Asymptotic behaviour of nonlocal \(p\)-Laplacian reaction-diffusion problems
• Asymptotic behaviour of the solutions of nonlocal \(p\)-Laplace equations depending on the \(L^p\) norm of the gradient
• Ground states in the diffusion-dominated regime
• Uniqueness and comparison theorems for solutions of doubly nonlinear parabolic equations with nonstandard growth conditions
• Rates of decay of a nonlocal beam equation
• On a cross-diffusion model for multiple species with nonlocal interaction and size exclusion
• A population dynamics model of cell-cell adhesion incorporating population pressure and density saturation
• Mathematical methods in biology and neurobiology
• A reaction–diffusion model for the non-local coupled system: existence, uniqueness, long-time behaviour and localization properties of solutions
• Continuous dependence on data for solutions of partial differential equations with a prescribed bound
• On a nonlocal elliptic equation with decreasing nonlinearity arising in plasma physics and heat conduction
• Some remarks on non local elliptic and parabolic problems
• Splitting Schemes and Segregation in Reaction Cross-Diffusion Systems
• Sorting Phenomena in a Mathematical Model For Two Mutually Attracting/Repelling Species
• Identification of the population density of a species model with nonlocal diffusion and nonlinear reaction

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