Existence and uniqueness of solutions of free boundary problems in heterogeneous environments
From MaRDI portal
Publication:1755918
DOI10.3934/dcdsb.2018179zbMath1404.35230OpenAlexW2806911615MaRDI QIDQ1755918
Publication date: 11 January 2019
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2018179
Asymptotic behavior of solutions to PDEs (35B40) Free boundary problems for PDEs (35R35) General biology and biomathematics (92B05) Initial-boundary value problems for second-order parabolic systems (35K51)
Related Items (43)
Analysis of a reaction-diffusion system about West Nile virus with free boundaries in the almost periodic heterogeneous environment ⋮ Approximation of random diffusion equations by nonlocal diffusion equations in free boundary problems of one space dimension ⋮ A diffusive stage-structured model with a free boundary ⋮ $m$th-order Fisher-KPP equation with free boundaries and time-aperiodic advection ⋮ Global dynamics and asymptotic spreading speeds for a partially degenerate epidemic model with time delay and free boundaries ⋮ Dynamics for the diffusive mutualist model with advection and different free boundaries ⋮ Dynamics of a Lotka-Volterra weak competition model with time delays and free boundaries ⋮ Dynamics of an epidemic model with advection and free boundaries ⋮ Dynamical Analysis on Traveling Wave of a Reaction-Advection-Diffusion Equation with Double Free Boundaries ⋮ Erratum to: ``Existence and uniqueness of solutions of free boundary problems in heterogeneous environments ⋮ Free boundary problem of a reaction-diffusion equation with nonlinear convection term ⋮ A free boundary problem of the diffusive competition model with different habitats ⋮ Dynamics for a diffusive competition model with seasonal succession and different free boundaries ⋮ A free boundary problem for a prey-predator model with degenerate diffusion and predator-stage structure ⋮ A nonlinear Stefan problem with variable exponent and different moving parameters ⋮ A free boundary problem of the cancer invasion ⋮ A free boundary problem for the diffusive intraguild predation model with intraspecific competition ⋮ A free boundary problem for spreading under shifting climate ⋮ Two-species nonlocal cross-diffusion models with free boundaries ⋮ Dynamics of a mutualistic model with advection and a free boundary in heterogeneous environment ⋮ Semi-waves and spreading speeds of stage-structured diffusive competition model with a free boundary ⋮ Traveling waves, blow‐up, and extinction in the Fisher–Stefan model ⋮ A West Nile virus nonlocal model with free boundaries and seasonal succession ⋮ Dynamics of a predator-stage structured model with cannibalism, degenerate diffusion and free boundaries ⋮ A climate shift model with free boundary: enhanced invasion ⋮ Free boundary problems with local-nonlocal diffusions and different free boundaries. I: Global solution ⋮ Dynamical behavior of solutions of a reaction-diffusion-advection model with a free boundary ⋮ Dynamics for a reaction–diffusion–advection mutualist model with different free boundaries ⋮ A viral propagation model with a nonlinear infection rate and free boundaries ⋮ Existence and uniqueness of solution of free boundary problem with partially degenerate diffusion ⋮ A nonlocal SIS epidemic problem with double free boundaries ⋮ A free boundary problem of a predator-prey model with a nonlocal reaction term ⋮ Long-time dynamics of a diffusive epidemic model with free boundaries ⋮ Fujita type critical exponent for a free boundary problem with spatial-temporal source ⋮ Systems with nonlocal vs. local diffusions and free boundaries ⋮ Propagation dynamics of Fisher-KPP equation with time delay and free boundaries ⋮ A reaction-diffusion-advection two-species competition system with a free boundary in heterogeneous environment ⋮ Free boundary problems with nonlocal and local diffusions. I: Global solution ⋮ A Fisher-KPP model with a nonlocal weighted free boundary: analysis of how habitat boundaries expand, balance or shrink ⋮ Free boundary problems for the local-nonlocal diffusive model with different moving parameters ⋮ Dynamics of a three species ratio-dependent food chain model with diffusion and double free boundaries ⋮ The diffusive intraguild predation model with intraspecific competition and double free boundaries ⋮ Spreading under shifting climate by a free boundary model: Invasion of deteriorated environment
Cites Work
- On a free boundary problem for a reaction-diffusion-advection logistic model in heterogeneous environment
- Invasion by an inferior or superior competitor: a diffusive competition model with a free boundary in a heterogeneous environment
- The diffusive competition problem with a free boundary in heterogeneous time-periodic environment
- A nonlocal diffusion model with free boundaries in spatial heterogeneous environment
- The time-periodic diffusive competition models with a free boundary and sign-changing growth rates
- Asymptotic profile of the solution to a free boundary problem arising in a shifting climate model
- A diffusive logistic equation with a free boundary and sign-changing coefficient in time-periodic environment
- A free boundary problem for the predator-prey model with double free boundaries
- The diffusive logistic equation with a free boundary and sign-changing coefficient
- A prey-predator model with a free boundary and sign-changing coefficient in time-periodic environment
- A free boundary problem of a predator-prey model with higher dimension and heterogeneous environment
- Free boundary problems for the diffusive competition system in higher dimension with sign-changing coefficients
- Spreading-Vanishing Dichotomy in the Diffusive Logistic Model with a Free Boundary
- A reaction–diffusion–advection competition model with two free boundaries in heterogeneous time-periodic environment
- An evolutional free-boundary problem of a reaction–diffusion–advection system
- Nonlinear Second Order Parabolic Equations
This page was built for publication: Existence and uniqueness of solutions of free boundary problems in heterogeneous environments