ASYMPTOTIC BEHAVIOR OF THE COMPRESSIBLE NON-ISENTROPIC NAVIER-STOKES-MAXWELL SYSTEM IN R-3

作者：Tan, Zhong; Tong, Leilei^*

来源：Kinetic and Related Models, 2018, 11(1): 191-213.

DOI：10.3934/krm.2018010

• Compressible Navier-Stokes-Maxwell system
• global solution
• time decay rate
• energy method
• interpolation

The compressible non-isentropic Navier-Stokes-Maxwell system is investigated in R-3 and the global existence and large time behavior of solutions are established by pure energy method provided the initial perturbation around a constant state is small enough. We first construct the global unique solution under the assumption that the H-3 norm of the initial data is small, but the higher order derivatives can be arbitrarily large. If further the initial data belongs to (H) over dot(-s) (0 <= s < 3/2) or (B) over dot(2,)(infinity)(-s) (0 < s <= 3/2), by a regularity interpolation trick, we obtain the various decay rates of the solution and its higher order derivatives. As an immediate byproduct, the L-p-L-2 (1 <= p <= 2) type of the decay rates follows without requiring that the LP norm of initial data is small.

• 出版日期2018-2
• 单位厦门大学