"In this paper we present a unified theory of convergence results in the study abstract problems. To end introduce new mathematical object, so-called Tykhonov triple $\cT=(I,\Omega,\cC)$, constructed by using set parameters $I$, multivalued function $\Omega$ and sequences $\cC$. Given problem $\cP$ $\cT$, notion well-posedness with respect to $\cT$ provide several preliminary results, framework...

We show that the system of equations describing a magnetoviscoelastic fluid in three dimensions can be cast as quasilinear parabolic system. Using theory maximal Lp-regularity, we establish existence and uniqueness local strong solutions each solution is smooth (in fact analytic) space time. Moreover, give complete characterization set equilibria start out close to constant equilibrium exist gl...