Existence and uniqueness of solution of free boundary problem with partially degenerate diffusion

DOI10.1016/j.nonrwa.2020.103097zbMath1439.35576arXiv1911.00843OpenAlexW3003851393MaRDI QIDQ1987395

Siyu Liu, Mingxin Wang

Publication date: 15 April 2020

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.00843

zbMATH Keywords

free boundary problemsexistence-uniquenesspartially degenerate diffusion

Mathematics Subject Classification ID

Free boundary problems for PDEs (35R35) Initial-boundary value problems for mixed-type systems of PDEs (35M33)

Related Items (7)

Spatial propagation in an epidemic model with nonlocal diffusion: the influences of initial data and dispersals ⋮ The dynamics of partially degenerate nonlocal diffusion systems with free boundaries ⋮ Dynamics for an SIR epidemic model with nonlocal diffusion and free boundaries ⋮ Dynamics of a predator-stage structured model with cannibalism, degenerate diffusion and free boundaries ⋮ Spreading-vanishing scenarios in a time-periodic parasitic-mutualistic model of mistletoes and birds in heterogeneous environment with free boundary ⋮ A viral propagation model with a nonlinear infection rate and free boundaries ⋮ The dynamics of a Lotka-Volterra competition model with nonlocal diffusion and free boundaries

Cites Work

• Dynamics for a diffusive prey-predator model with different free boundaries
• Existence and uniqueness of solutions of free boundary problems in heterogeneous environments
• Two species nonlocal diffusion systems with free boundaries
• A free boundary problem for a prey-predator model with degenerate diffusion and predator-stage structure
• Systems with nonlocal vs. local diffusions and free boundaries
• The spreading fronts of an infective environment in a man-environment-man epidemic model
• The spreading frontiers in partially degenerate reaction-diffusion systems
• Spreading and vanishing in a West Nile virus model with expanding fronts

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