Electronic Journal of Differential Equations,
Vol. 2015 (2015), No. 299, pp. 1-14.

Title: Global solutions for 2D coupled Burgers-complex-Ginzburg-Landau
       equations

Authors: Hongjun Gao (Nanjing Normal Univ., Nanjing, China)
         Lin Lin     (Nanjing Normal Univ., Nanjing, China)
         Yajun Chu   (Nanjing Normal Univ., Nanjing, China)

Abstract: 
 In this article, we study the periodic initial-value problem of the 2D 
 coupled Burgers-complex-Ginzburg-Landau (Burgers-CGL) equations.
 Applying the Brezis-Gallout inequality which is available in 2D case
 and establishing some prior estimates, we obtain the existence and 
 uniqueness of a global solution under certain conditions.

Submitted June 2, 2015. Published December 07, 2015.
Math Subject Classifications: 35M13, 35D35.
Key Words: Burgers-CGL equation; prior estimate; global solution;
           Gagliardo-Nirenberg inequality; Holder inequality.