A new kind of weak solution of non-Newtonian fluid equation

DOI10.1155/2017/7916730zbMath1375.35415OpenAlexW2734785026WikidataQ59146431 ScholiaQ59146431MaRDI QIDQ2405883

Bifen Xu, Hua-Shui Zhan

Publication date: 28 September 2017

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2017/7916730

zbMATH Keywords

weak solutionsnon-Newtonian fluid equation

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Weak solutions to PDEs (35D30)

Related Items (8)

On the evolutionary \(p\)-Laplacian equation with a partial boundary value condition ⋮ On the well-posedness problem of the electrorheological fluid equations ⋮ The well-posedness of an anisotropic parabolic equation based on the partial boundary value condition ⋮ The uniqueness of a nonlinear diffusion equation related to the \(p\)-Laplacian ⋮ On the boundary value condition of an isotropic parabolic equation ⋮ The evolutionary \(p(x)\)-Laplacian equation with a partial boundary value condition ⋮ On an anisotropic parabolic equation on the domain with a disjoint boundary ⋮ A new method to deal with the stability of the weak solutions for a nonlinear parabolic equation

Cites Work

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• Degenerate parabolic equations
• Large-time geometric properties of solutions of the evolution \(p\)-Laplacian equation
• Uniqueness for positive solutions of \(p\)-Laplacian problem in an annulus
• The solutions of a hyperbolic-parabolic mixed type equation on half-space domain
• Existence and nonexistence of solutions for \(u_ t=\text{div}(|\nabla u|^{p-2}\nabla u)+f(\nabla u,u,x,t)\)
• Evolutionary weighted \(p\)-Laplacian with boundary degeneracy

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