37 citations · 48 across the 8 of their papers we have counts for
8 papers · 1 filter
On the propagation speed of the single monostable equation
Chang-Hong Wu, Dongyuan Xiao, Maolin Zhou
In this paper, we first focus on the speed selection problem for the reaction-diffusion equation of the monostable type. By investigating the decay rates of the minimal traveling w…
Exact blow-up profiles for the parabolic-elliptic Keller-Segel system in dimensions
Xueli Bai, Maolin Zhou
In this paper, we obtain the exact blow-up profiles of solutions of the Keller-Segel-Patlak system in the space with dimensions , which solves an open problem proposed by P…
A Counterexample for the Principal Eigenvalue of An Elliptic Operator with Large Advection
Xueli Bai, Xin Xu, Kexin Zhang +1
There are numerous studies focusing on the convergence of the principal eigenvalue as corresponding to the elliptic eigenvalue problem \begin{align*} -Δφ(x)-2s…
Optimisation of total population in logistic model with nonlocal dispersals and heterogeneous environments
Xueli Bai, Fang Li, Maolin Zhou
In this paper, we investigate the issue of maximizing the total equilibrium population with respect to resources distribution m(x) and diffusion rates d under the prescribed total…
Effects of large degenerate advection and boundary conditions on the principal eigenvalue and its eigenfunction of a linear second order elliptic operator
Rui Peng, Maolin Zhou
In this article, we study, as the coefficient , the asymptotic behavior of the principal eigenvalue of supplemented…
Nonlinear diffusion problems with free boundaries: Convergence, transition speed and zero number arguments,
Yihong Du, Bendong Lou, Maolin Zhou
This paper continues the investigation of Du and Lou (J. European Math Soc, to appear), where the long-time behavior of positive solutions to a nonlinear diffusion equation of the…