The suitable weak solution for the Cauchy problem of the double-diffusive convection system. Issue 9 (4th July 2019) - Chen, Fei
ABSTRACT: In this paper, we consider the existence of the suitable weak solutions for the Cauchy problem of the double-diffusive convection system in R 3 . We establish the global existence of the suitable weak solutions of the double-diffusive convection system, especially, we obtain some generalized energy estimates which will play a very important role in studying the partial regularity of the suitable weak solutions of the double-diffusive convection system.