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- JUN ZHOU, CHUNLAI MU, ZHONGPING LI
- 2006

We deal with the blowup properties of the solution to the degenerate and singular parabolic system with nonlocal source and homogeneous Dirichlet boundary conditions. The existence of a unique classical nonnegative solution is established and the sufficient conditions for the solution that exists globally or blows up in finite time are obtained.… (More)

- Xiaowu Li, Chunlai Mu, Jinwen Ma, Chan Wang
- Applied Mathematics and Computation
- 2010

- Xiaowu Li, Chunlai Mu, Jinwen Ma, Linke Hou
- Numerical Algorithms
- 2010

This paper presents a fifth-order iterative method as a new modification of Newton’s method for finding multiple roots of nonlinear equations with unknown multiplicity m. Its convergence order is analyzed and proved. Moreover, several numerical examples demonstrate that the proposed iterative method is superior to the existing methods.

We study the global existence and the global nonexistence of a non-Newtonian polytropic filtration system coupled via nonlinear boundary flux. We first establish a weak comparison principle, then discuss the large time behavior of solutions by using modified upper and lower solution methods and constructing various upper and lower solutions. Necessary and… (More)

- Fuchen Zhang, Chunlai Mu, Xiaowu Li
- I. J. Bifurcation and Chaos
- 2012

- Yuanhong Zhi, Chunlai Mu
- Applied Mathematics and Computation
- 2007

- Yulan Wang, Chunlai Mu, Zhaoyin Xiang
- Applied Mathematics and Computation
- 2007

- Ying Wang, Chunlai Mu
- Applied Mathematics and Computation
- 2007

In this paper, we consider the Cauchy problem for a class of Boussinesq equation. We obtain the existence and uniqueness of the local solutions. For a class of nonlinearity of the perturbation, blow-up solutions are obtained. Furthermore, the global existence and nonlinear scattering for small amplitude solutions are established. 2006 Elsevier Inc. All… (More)

- Fuchen Zhang, Xingyuan Wang, Xiaofeng Liao, Guangyun Zhang, Chunlai Mu
- I. J. Bifurcation and Chaos
- 2017