# [PDF] Top 20 Fast propagation in reaction-diffusion equations with fractional diffusion

Has 10000 "Fast propagation in reaction-diffusion equations with fractional diffusion" found on our website. Below are the top 20 most common "Fast propagation in reaction-diffusion equations with fractional diffusion".

### Fast propagation in reaction-diffusion equations with fractional diffusion

... problems. **In** Chapter 1, we have applied our method on a Fisher-KPP model **in** periodic media **with** **fractional** ...exponentially **fast** **in** time, and we have obtained the precise ... Voir le document complet

176

### Propagation acceleration in reaction diffusion equations with anomalous diffusions

... argument **in** Section 3. Acknowledgement. J.Coville carried out this work **in** the framework of Archim`ede Labex (ANR-11-LABX-0033) and of the A*MIDEX project (ANR-11-IDEX-0001-02), funded by the ... Voir le document complet

31

### Asymptotic spreading for Fisher-KPP reaction-diffusion equations with heterogeneous shifting diffusivity

... a **reaction**-**diffusion** equation is often used **in** ecology and population dynamics to model spatial **propagation** phenomena [ 1 ...]. **In** this context, the unknown function u denotes the ... Voir le document complet

35

### A singular limit in a fractional reaction-diffusion equation with periodic coefficients

... that **in** the **fractional** case, the speed of **propagation** does not depend anymore on the ...of **propagation** is exponential **in** time **with** a precise exponent depending on a periodic ... Voir le document complet

24

### Persistence and propagation in periodic reaction-diffusion models

... . **In** the moving frame **with** speed c to the right, a traveling front u(t, x) = φ(x − ct) is invariant **in** ...stable **with** respect to some natural classes of perturbations, see ...heterogeneous ... Voir le document complet

13

### Two examples of reaction-diffusion front propagation in heterogeneous media

... for **reaction**-**diffusion** **equations** have been studied since the well known works of Kolmogorov, Petrovskii and Piskunov ...generalised **in** the late seventies by Aronson and Weinberger [2] and Fife ... Voir le document complet

140

### Transition fronts for periodic bistable reaction-diffusion equations

... for **diffusion** and **reaction** coefficients a(x) and f (x, u) satisfying ...of **propagation** speeds are still open, even under the additional assumption ...work **in** this present paper and the ... Voir le document complet

37

### A variational approach to reaction diffusion equations with forced speed in dimension 1

... change **Reaction** **diffusion** problems are often used to model the evolution of biological ...species. **In** 1937, Kolmogorov, Petrovskii and Piskunov **in** [15], Fisher **in** [10] used ... Voir le document complet

35

### Reaction diffusion equation in heterogeneous media : persistance, propagation and effect of the geometry

... fronts **in** non homogeneous ...heterogeneous **with** respect to time **in** the bistable, monostable and KPP ...bistable **reaction** **diffusion** ...heterogeneities. **In** all these papers it has ... Voir le document complet

217

### Periodic Homogenization for Weakly Elliptic Hamilton-Jacobi-Bellman Equations with Critical Fractional Diffusion

... is **in** striking contrast **with** previous available results **in** homogenization of integro-differential ...problems. **In** [2, 3], Arisawa analyzed periodic homogenization for equa- tions **with** ... Voir le document complet

36

### Spreading speeds for one-dimensional monostable reaction-diffusion equations

... (φ(x)), **with** µ 0 a periodic function and φ a smooth increasing function such that φ ′ (x) → 0 as x → ...sufficiently **fast**, then these authors proved that w ∗ = w ∗∗ and it is possible to compute this ... Voir le document complet

31

### Critical travelling waves for general heterogeneous one-dimensional reaction-diffusion equations

... translation **in** time, such as ignition-type or monostable **equations**, these waves satisfy a property which is close to the translation property introduced **in** [18] (Proposition ...waves **in** the ... Voir le document complet

49

### Accélération de la propagation dans les équations de réaction-diffusion par une ligne de diffusion rapide

... fronts, **propagation**, ...of **propagation** **in** **reaction**- **diffusion** **equations**, through a new mechanism involving a line **with** **fast** ...coupling **with** strong ... Voir le document complet

146

### Propagation phenomena and reaction–diffusion systems for population dynamics in homogeneous or periodic media

... systems **with** periodic **diffusion** and interspecific competition rates, an existence result is ...stick **with** the aforementioned ...scalar **reaction**–**diffusion** **equations** **in** ... Voir le document complet

328

### Diameters of the level sets for reaction-diffusion equations in nonperiodic slowly varying media *

... consists **in** showing that the solution u of (1.1) and (1.5) **with** this function f satisfies the desired conclusions listed **in** Theorem ...the **propagation** **in** some time intervals when the ... Voir le document complet

16

### Bistable pulsating fronts for reaction-diffusion equations in a periodic habitat

... given **in** [25, 28, ...fronts **In** this paper, we first discuss the question of the uniqueness of the speed of pulsating fronts for the bistable equation ...fronts **with** nonzero speed. **In** [9], ... Voir le document complet

58

### Propagation phenomena for time heterogeneous KPP reaction–diffusion equations

... depends **in** a general way on t ∈ ...u), **with** µ ∈ L ∞ (R) such that ess inf t∈R µ(t) > ...defined **in** [4, 22]) for a given class of ...function **with** respect to t ∈ ... Voir le document complet

27

### Fractional reaction-diffusion problems

... established **in** Chapter 1. Additionally we recall the earlier work **in** the case α ∈ (0, 1) by Berestycki, Roquejoffre and Rossi [10], where it is proved that there is invasion of the unstable state by the ... Voir le document complet

98

### Langevin equations for reaction-diffusion processes

... For **reaction**-**diffusion** processes **with** at most bimolecular reactants, we derive well-behaved, numerically-tractable, exact Langevin **equations** that govern a stochastic variable related to the ... Voir le document complet

12

### Phase portrait control for 1D monostable and bistable reaction-diffusion equations

... waves **in** the form y(x − ct) for certain speeds c, linking the states 0 and 1, see the pioneering work [ 10 ...fulfilled **with** non-negative Dirichlet boundary ... Voir le document complet

31

Sujets connexes