A New Kind of Weak Solution of Non-Newtonian Fluid Equation

作者:Zhan, Huashui*; Xu, Bifen
来源:Journal of Function Spaces, 2017, 2017: 7916730.
DOI:10.1155/2017/7916730

摘要

If the non-Newtonian fluid equation with a diffusion coefficient is degenerate on the boundary, the weak solution lacks the regularity to define the trace on the boundary. By introducing a new kind of weak solutions, the stability of the solutions is established without any boundary condition.