Hölder inequality applied on a non-Newtonian fluid equation with a nonlinear convection term and a source term
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DOI: 10.1186/s13660-018-1938-x
Abstract: Consider a non-Newtonian fluid equation with a nonlinear convection term and a source term. The existence of the weak solution is proved by Simon’s compactness theorem. By the Hölder inequality, if both the diffusion coefficient… read more here.
Keywords: term; fluid equation; newtonian fluid; non newtonian ... See more keywords
Dynamics of a fluid equation with Neumann boundary conditions
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DOI: 10.3906/mat-2002-115
Abstract: We study the dynamics of a Neumann boundary value problem arising in fluid dynamics. We prove the nonexistence, existence and uniqueness of positive solutions under suitable conditions. At the same time, under stricter conditions, we… read more here.
Keywords: dynamics fluid; boundary conditions; neumann boundary; fluid equation ... See more keywords