Existence of local strong solutions for motions of electrorheological fluids in three dimensions

DOI10.1016/j.camwa.2006.02.032zbMath1122.76092OpenAlexW2053722312MaRDI QIDQ2459646

F. Ettwein, Michael Ružička

Publication date: 7 November 2007

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2006.02.032

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (23)

Boundary partial regularity for steady flows of electrorheological fluids in 3D bounded domains ⋮ The existence of strong solutions to steady motion of electrorheological fluids in 3D cubic domain ⋮ Study of ODE limit problems for reaction-diffusion equations ⋮ Well-posedness and numerical study for solutions of a parabolic equation with variable-exponent nonlinearities ⋮ The existence of weak solutions for steady flows of electrorheological fluids with nonhomogeneous Dirichlet boundary condition ⋮ Interior regularity to the steady incompressible shear thinning fluids with non-standard growth ⋮ Nonlinear diffusion equations driven by the \(p(\cdot)\)-Laplacian ⋮ Higher integrability for solutions to parabolic problems with irregular obstacles and nonstandard growth ⋮ Integral solution for a parabolic equation driven by the \(p(x)\)-Laplacian operator with nonlinear boundary conditions and \(L^1\) data ⋮ \(C^{1, \alpha}\)-regularity for steady flows of electrorheological fluids in 2D ⋮ Reaction-diffusion equations with spatially variable exponents and large diffusion ⋮ Global regularity of weak solutions for steady motions of electrorheological fluids in 3D smooth domain ⋮ Interior gradient estimate for steady flows of electrorheological fluids ⋮ Potential well method for \(p ( x )\)-Laplacian equations with variable exponent sources ⋮ Pullback attractors for non-autonomous evolution equations with spatially variable exponents ⋮ Existence of local strong solutions for motions of electrorheological fluids in three dimensions ⋮ Stable and unstable sets for damped nonlinear wave equations with variable exponent sources ⋮ On the existence of classical solution to the steady flows of generalized Newtonian fluid with concentration dependent power-law index ⋮ Blow up in a semilinear pseudo-parabolic equation with variable exponents ⋮ Inertial energy dissipation for weak solution of electrorheological fluids ⋮ The existence of strong solution for generalized Navier-Stokes equations with \(p(x)\)-power law under Dirichlet boundary conditions ⋮ Hölder continuity of solutions for unsteady generalized Navier-Stokes equations with \(p(x,t)\)-power law in 2D ⋮ Besov regularity theory for stationary electrorheological fluids

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