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Publications Influence

Sharp Estimate of the Spreading Speed Determined by Nonlinear Free Boundary Problems

- Y. Du, H. Matsuzawa, M. Zhou
- Mathematics, Computer Science
- SIAM J. Math. Anal.
- 21 January 2014

TLDR

93 8- PDF

Long time behavior of solutions of Fisher-KPP equation with advection and free boundaries

We consider Fisher-KPP equation with advection: $u_t=u_{xx}-\beta u_x+f(u)$ for $x\in (g(t),h(t))$, where $g(t)$ and $h(t)$ are two free boundaries satisfying Stefan conditions. This equation is used… Expand

56 3- PDF

A KPP road–field system with spatially periodic exchange terms

- T. Giletti, L'eonard Monsaingeon, M. Zhou
- Mathematics
- 8 April 2015

We take interest in a reaction-diffusion system which has been recently proposed [11] as a model for the effect of a road on propagation phenomena arising in epidemiology and ecology. This system… Expand

13 2- PDF

Asymptotic Behavior of Solutions of a Reaction Diffusion Equation with Free Boundary Conditions

We study a nonlinear diffusion equation of the form $$u_t=u_{xx}+f(u)\ (x\in [g(t),h(t)])$$ut=uxx+f(u)(x∈[g(t),h(t)]) with free boundary conditions $$g'(t)=-u_x(t,g(t))+\alpha $$g′(t)=-ux(t,g(t))+α… Expand

19 2- PDF

Semi-wave and spreading speed for the diffusive competition model with a free boundary

We determine the asymptotic spreading speed of an invasive species, which invades the territory of a native competitor, governed by a diffusive competition model with a free boundary in a spherically… Expand

41 1- PDF

Long time behavior of solutions of a reaction–diffusion equation on unbounded intervals with Robin boundary conditions ☆

- X. Chen, B. Lou, M. Zhou, T. Giletti
- Physics, Mathematics
- 28 September 2013

We study the long time behavior, as $t\to\infty$, of solutions of
$$
\left\{
\begin{array}{ll}
u_t = u_{xx} + f(u), & x>0, \ t >0,\\
u(0,t) = b u_x(0,t), & t>0,\\
u(x,0) = u_0 (x)\geqslant 0 ,… Expand

11 1- PDF

Spreading speed and profile for nonlinear Stefan problems in high space dimensions

- Y. Du, H. Matsuzawa, M. Zhou
- Mathematics
- 1 March 2015

We consider nonlinear diffusion problems of the form ut=Δu+f(u) with Stefan type free boundary conditions, where the nonlinear term f(u) is of monostable, bistable or combustion type. Such problems… Expand

37- PDF

Fisher–KPP equation with free boundaries and time-periodic advections

We consider a reaction–diffusion–advection equation of the form: $$u_t=u_{xx}-\beta (t)u_x+f(t,u)$$ut=uxx-β(t)ux+f(t,u) for $$x\in (g(t),h(t))$$x∈(g(t),h(t)), where $$\beta (t)$$β(t) is a T-periodic… Expand

9- PDF

Long time behavior for solutions of the diffusive logistic equation with advection and free boundary

We consider the influence of a shifting environment and an advection on the spreading of an invasive species through a model given by the diffusive logistic equation with a free boundary. When the… Expand

10

Nonlinear Diffusion Problems with Free Boundaries: Convergence, Transition Speed, and Zero Number Arguments

- Y. Du, Bendong Lou, M. Zhou
- Mathematics, Computer Science
- SIAM J. Math. Anal.
- 26 January 2015

TLDR

32- PDF