一类稳态不可压非牛顿Boussinesq方程组解的存在唯一性

Abstract

Abstract: We considered the first boundary value problems for a class of steadystate incompressible nonNewtonian Boussinesq equations in a threedimensional smooth bounded domain Ω. Under the conditions that the external force term was appropriately small, we proved the existence and uniqueness of regular solutions for the problem when the exponent p∈(1,2) by using the iterative method.

Key words: nonNewtonian fluid, Boussinesq equation, regular solution, existence and uniqueness

CLC Number:

O175.2

YANG Hui, WANG Changjia. Existence and Uniqueness of Solutions for a Class of SteadyStateIncompressible NonNewtonian Boussinesq Equations #br#[J].Journal of Jilin University Science Edition, 2019, 57(04): 753-761.

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Existence and Uniqueness of Solutions for a Class of SteadyStateIncompressible NonNewtonian Boussinesq Equations #br#

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