Propagation, diffusion and free boundaries
DOI10.1007/s42985-020-00035-xzbMath1465.35004OpenAlexW3090409922WikidataQ115370487 ScholiaQ115370487MaRDI QIDQ2218229
Publication date: 15 January 2021
Published in: SN Partial Differential Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s42985-020-00035-x
Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) Population dynamics (general) (92D25) Free boundary problems for PDEs (35R35) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Integro-partial differential equations (35R09)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Diffusive KPP equations with free boundaries in time almost periodic environments I: Spreading and vanishing dichotomy
- Multiple spreading phenomena for a free boundary problem of a reaction-diffusion equation with a certain class of bistable nonlinearity
- Diffusive KPP equations with free boundaries in time almost periodic environments. II: Spreading speeds and semi-wave solutions.
- Persistence criteria for populations with non-local dispersion
- A front-fixing numerical method for a free boundary nonlinear diffusion logistic population model
- Global existence and blowup of a nonlocal problem in space with free boundary
- The Stefan problem for the Fisher-KPP equation
- The diffusive competition model with a free boundary: invasion of a superior or inferior competitor
- Spreading speeds and traveling waves of nonlocal monostable equations in time and space periodic habitats
- Approximations of random dispersal operators/equations by nonlocal dispersal operators/equations
- Long time behavior for solutions of the diffusive logistic equation with advection and free boundary
- Spreading in space-time periodic media governed by a monostable equation with free boundaries. I: Continuous initial functions.
- Semi-wave and spreading speed for the diffusive competition model with a free boundary
- Traveling waves for a nonlocal anisotropic dispersal equation with monostable nonlinearity
- Nonlocal diffusion problems that approximate the heat equation with Dirichlet boundary conditions
- Existence and nonexistence of traveling waves for a nonlocal monostable equation
- Existence, uniqueness and stability of the stationary solution to a nonlocal evolution equation arising in population dispersal
- Spreading and vanishing in nonlinear diffusion problems with free boundaries
- A diffusive logistic equation with a free boundary and sign-changing coefficient in time-periodic environment
- On the diffusion of biological populations
- The regularity of free boundaries in higher dimensions
- Multidimensional nonlinear diffusion arising in population genetics
- Traveling waves in a convolution model for phase transitions
- Existence, uniqueness, and asymptotic stability of traveling waves in nonlocal evolution equations
- Spatial spreading model and dynamics of West Nile virus in birds and mosquitoes with free boundary
- Spreading and vanishing for nonlinear Stefan problems in high space dimensions
- Spreading of two competing species governed by a free boundary model in a shifting environment
- The speed of propagation for KPP type problems. I: Periodic framework
- Propagation phenomena in monostable integro-differential equations: acceleration or not?
- On spreading speeds and traveling waves for growth and migration models in a periodic habitat
- Travelling waves in nonlinear diffusion-convection reaction
- On a free boundary problem for a two-species weak competition system
- Spreading speed revisited: analysis of a free boundary model
- Fast propagation for KPP equations with slowly decaying initial conditions
- Spreading in a shifting environment modeled by the diffusive logistic equation with a free boundary
- The dynamics of a degenerate epidemic model with nonlocal diffusion and free boundaries
- A free boundary problem for spreading under shifting climate
- Spreading speed and profile for nonlinear Stefan problems in high space dimensions
- Krylov implicit integration factor method for a class of stiff reaction-diffusion systems with moving boundaries
- The spreading fronts of an infective environment in a man-environment-man epidemic model
- A nonlocal diffusion problem with a sharp free boundary
- Logarithmic corrections in Fisher-KPP type porous medium equations
- Spreading speed for a West Nile virus model with free boundary
- Semi-wave solutions of KPP-Fisher equations with free boundaries in spatially almost periodic media
- The dynamics of a Fisher-KPP nonlocal diffusion model with free boundaries
- Spreading in space-time periodic media governed by a monostable equation with free boundaries. II: Spreading speed
- Front propagation for integro-differential KPP reaction-diffusion equations in periodic media
- Nonlocal dispersal cooperative systems: acceleration propagation among species
- Spreading speed and sharp asymptotic profiles of solutions in free boundary problems for nonlinear advection-diffusion equations
- Pulsating semi-waves in periodic media and spreading speed determined by a free boundary model
- The influence of fractional diffusion in Fisher-KPP equations
- Fisher-KPP equation with free boundaries and time-periodic advections
- The Fisher-KPP problem with doubly nonlinear diffusion
- A diffusive logistic model with a free boundary in time-periodic environment
- On some free boundary problems of the prey-predator model
- Pulsating fronts for nonlocal dispersion and KPP nonlinearity
- Regularity and asymptotic behavior of nonlinear Stefan problems
- How to approximate the heat equation with Neumann boundary conditions by nonlocal diffusion problems
- Long time behavior of solutions of Fisher-KPP equation with advection and free boundaries
- The effect of nonlocal reaction in an epidemic model with nonlocal diffusion and free boundaries
- Monotone traveling waves for delayed neural field equations
- Spreading-Vanishing Dichotomy in the Diffusive Logistic Model with a Free Boundary
- Accelerating Solutions in Integro-Differential Equations
- Analysis of a West Nile virus model with nonlocal diffusion and free boundaries
- Long-Time Behavior of a Class of Biological Models
- Asymptotic speeds of spread and traveling waves for monotone semiflows with applications
- Location of Wave Fronts for the Multi-Dimensional K-P-P Equation and Brownian First Exit Densities
- Maximal displacement of branching brownian motion
- The smoothness of the free boundary in the one phase stefan problem
- Decay of global solutions, stability and blowup for a reaction-diffusion problem with free boundary
- Thin Front Limit of an Integro-differential Fisher-KPP Equation with Fat-Tailed Kernels
- Uniqueness and global stability of forced waves in a shifting environment
- Accelerated nonlocal nonsymmetric dispersion for monostable equations on the real line
- Front propagation in periodic excitable media
- Numerical studies of a class of reaction–diffusion equations with Stefan conditions
- Asymptotic Profiles of Solutions and Propagating Terrace for a Free Boundary Problem of Nonlinear Diffusion Equation with Positive Bistable Nonlinearity
- Sharp Estimate of the Spreading Speed Determined by Nonlinear Free Boundary Problems
- On a non-local equation arising in population dynamics
- The Stefan Problem in Several Space Variables
- RANDOM DISPERSAL IN THEORETICAL POPULATIONS
- Existence of global solutions with slow decay and unbounded free boundary for a superlinear Stefan problem
This page was built for publication: Propagation, diffusion and free boundaries