Local and Global Existence for Nonlocal Multispecies Advection-Diffusion Models
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Publication:5090119
DOI10.1137/21M1425992zbMath1494.35002arXiv2106.06383OpenAlexW3170866019MaRDI QIDQ5090119
Jonathan R. Potts, Valeria Giunta, Thomas Hillen, Mark A. Lewis
Publication date: 15 July 2022
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2106.06383
existence theoremsadvection-diffusionmathematical ecologytaxisaggregation-diffusionnonlocal advection
Smoothness and regularity of solutions to PDEs (35B65) Reaction-diffusion equations (35K57) Ecology (92D40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Positive solutions to PDEs (35B09) Integro-partial differential equations (35R09) Mathematical modeling or simulation for problems pertaining to biology (92-10)
Related Items (11)
Study of an entropy dissipating finite volume scheme for a nonlocal cross-diffusion system ⋮ Segregation and domain formation in non-local multi-species aggregation equations ⋮ Nonlocal cross-interaction systems on graphs: energy landscape and dynamics ⋮ Double Hopf bifurcation induced by spatial memory in a diffusive predator-prey model with Allee effect and maturation delay of predator ⋮ Multispecies cross-diffusions: from a nonlocal mean-field to a porous medium system without self-diffusion ⋮ Biological modeling with nonlocal advection–diffusion equations ⋮ Cognitive consumer-resource spatiotemporal dynamics with nonlocal perception ⋮ Distinguishing between long-transient and asymptotic states in a biological aggregation model ⋮ Spatio-temporal Dynamics in a Reaction-Diffusion Equation with Nonlocal Spatial Memory ⋮ Open problems in PDE models for knowledge-based animal movement via nonlocal perception and cognitive mapping ⋮ Detecting minimum energy states and multi-stability in nonlocal advection-diffusion models for interacting species
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