7 citations · 9 across the 5 of their papers we have counts for
5 papers
Parabolic Quasi-Variational Inequalities (I) -- Semimonotone Operator Approach
Maria Gokieli, Nobuyuki Kenmochi, Marek Niezgódka
Variational inequalities, formulated on unknown dependent convex sets, are called quasi-variational inequalities (QVI). This paper is concerned with the abstract approach to a clas…
Variational and Quasi--variational Inequalities of Navier--Stokes Type with Velocity Constraints
Maria Gokieli, Nobuyuki Kenmochi, Marek Niezgódka
In this paper we deal with parabolic variational inequalities of Navier-Stokes type with time-dependent constraints on velocity fields, including gradient constraint case. One of t…
A New Approach to Variational Inequalities of Parabolic Type
Maria Gokieli, Nobuyuki Kenmochi, Marek Niezgódka
This paper is concerned with the weak solvability of fully nonlinear parabolic variational inequalities with time dependent convex constraints. As possible approaches to such probl…
Mathematical Modeling of Biofilm Development
Maria Gokieli, Nobuyuki Kenmochi, Marek Niezgódka
We perform mathematical anaysis of the biofilm development process. A model describing biomass growth is proposed: It arises from coupling three parabolic nonlinear equations: a bi…
Variational Inequalities of Navier--Stokes Type with Time Dependent Constraints
Maria Gokieli, Nobuyuki Kenmochi, Marek Niezgódka
We consider a class of parabolic variational inequalities with time dependent obstacle of the form , where is the velocity fiel…