We prove Hölder continuity of gradient of a unique weak solution for unsteady generalized
Navier–Stokes equations with p (x, t)-power law with Dirichlet type boundary condition under …

In this note we investigate the existence of time-periodic solutions to the p-Navier–Stokes
system in the singular case of p ∈ (1, 2) p∈(1, 2), which describes the flows of an …

We show time regularity of weak solutions for unsteady motion equations of generalized
Newtonian fluids described by p (x, t)-power law for p (x, t)⩾(3 n+ 2)/(n+ 2), n⩾ 2, by using a …

It is well known that the uniqueness backward in time for smooth solutions to a linear
parabolic equation is an improperly posed problem. On the other hand, for the p-laplacian …

In this paper, we show local higher integrability of the gradient of weak solutions for
unsteady motions of generalized Newtonian fluids including electrorheological fluids under …

Time-Periodic Weak Solutions to Incompressible Generalized Newtonian Fluids | Journal of
Mathematical Fluid Mechanics Skip to main content SpringerLink Log in Menu Find a journal …

In this paper, we show time regularity of weak solutions to parabolic p (x, t)-Laplacian type
system depending on symmetric gradient with p (x, t)> 2 nn+ 2 in a bounded domain Ω⊂ R …

We consider the initial boundary value problem for the p(t,x)-Laplacian system in a bounded
domain Ω. If the initial data belongs to L^r_0, r_0≧2, we prove a global L^r_0(Ω)-regularity …

We prove the existence of weak solutions for steady flows of electrorheological fluids with
homogeneous Navier-slip type boundary conditions provided $ p (x)> 2n/(n+ 2) $. To prove …

We study the regularity properties of solutions to the non-homogeneous singular p (x)-
Laplacian system in a bounded domain of R n. Under suitable restrictions on the range of p …