A BLOW-UP CRITERION OF STRONG SOLUTIONS TO THE QUANTUM HYDRODYNAMIC MODEL

doi:10.1007/s10473-020-0314-3

Abstract

Abstract: In this article, we focus on the short time strong solution to a compressible quantum hydrodynamic model. We establish a blow-up criterion about the solutions of the compressible quantum hydrodynamic model in terms of the gradient of the velocity, the second spacial derivative of the square root of the density, and the first order time derivative and first order spacial derivative of the square root of the density.

Key words: Compressible quantum hydrodynamic model, blow-up criterion, strong solution

CLC Number:

35A01

Guangwu WANG, Boling GUO. A BLOW-UP CRITERION OF STRONG SOLUTIONS TO THE QUANTUM HYDRODYNAMIC MODEL[J].Acta mathematica scientia,Series B, 2020, 40(3): 795-804.

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