An estimate on the thickness of boundary layer for nonlinear evolution equations with damping and diffusion

作者：Zhou, Wenshu; Qin, Xulong; Wei, Xiaodan^*

来源：JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016, 2016(1): 249.

DOI：10.1186/s13660-016-1191-0

• nonlinear evolution equation
• zero diffusion limit
• boundary layer thicknes

The main purpose of this paper is to estimate the thickness of boundary layer for nonlinear evolution equations with damping and diffusion as the diffusion parameter beta goes to zero. We prove that the thickness of layer is of the order O(beta(gamma)) with 0 < gamma < 1, thus improving the corresponding result in (Ruan and Zhu in Discrete Contin. Dyn. Syst. 32(1) 331-352, 2012) where 0 < gamma < 1/2 is obtained.

• 出版日期2016-10-12
• 单位大连民族大学