Global existence of weak solutions to a prey-predator model with strong cross-diffusion

作者：Li Hui ling^*

来源：Applied Mathematics and Mechanics (English Edition ), 2009, 30(6): 727-740.

DOI：10.1007/s10483-009-0607-x

• prey-predator model
• strong cross-diffusion
• entropy functional
• existence of weak solutions
• Orlicz space

Using finite differences and entropy inequalities, the global existence of weak solutions to a multidimensional parabolic strongly coupled prey-predator model is obtained. The nonnegativity of the solutions is also shown.

• 出版日期2009-6
• 单位东南大学