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4 papers · 2 filters
The role of protection zone on species spreading governed by a reaction-diffusion model with strong Allee effect
Kai Du, Rui Peng, Ningkui Sun
It is known that a species dies out in the long run for small initial data if its evolution obeys a reaction of bistable nonlinearity. Such a phenomenon, which is termed as the str…
The Fisher-KPP equation over simple graphs: Varied persistence states in river networks
Yihong Du, Bendong Lou, Rui Peng +1
In this article, we study the growth and spread of a new species in a river network with two or three branches via the Fisher-KPP advection-diffusion equation over some simple grap…
Global regularity of the two-dimensional regularized MHD equations
Zhuan Ye
In this paper, we consider the Cauchy problem of the two-dimensional regularized incompressible magnetohydrodynamics equations. The main objective of this paper is to establish the…
Global existence and exponential decay of strong solutions for the inhomogeneous incompressible Navier-Stokes equations with vacuum
Dehua Wang, Zhuan Ye
The inhomogeneous incompressible Navier-Stokes equations with fractional Laplacian dissipations in the multi-dimensional whole space are considered. The existence and uniqueness of…