Browsing by Subject "evolution problem"

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Access status: Open Access ,
An abstract nonlocal second order evolution problem
(2012) Byszewski, Ludwik; Winiarska, Teresa
The aim of the paper is to prove theorems on the existence and uniqueness of mild and classical solutions of a semilinear evolution second order equation together with nonlocal conditions. The theory of strongly continuous cosine families of linear operators in a Banach space is applied.
Access status: Open Access ,
On the regularity of solution to the time-dependent p-Stokes system
(Wydawnictwa AGH, 2020) Berselli, Luigi C.; Růžička, Michael
In this paper we consider the time evolutionary $p$-Stokes problem in a smooth and bounded domain. This system models the unsteady motion or certain non-Newtonian incompressible fluids in the regime of slow motions, when the convective term is negligible. We prove results of space/time regularity, showing that first-order time-derivatives and second-order space-derivatives of the velocity and first-order space-derivatives of the pressure belong to rather natural Lebesgue spaces.