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pro vyhledávání: '"Gokieli, Maria"'
Variational inequalities, formulated on unknown dependent convex sets, are called quasi-variational inequalities (QVI). This paper is concerned with the abstract approach to a class of parabolic QVIs arising in many biochemical/mechanical problems, b
Externí odkaz:
http://arxiv.org/abs/2009.14129
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 the objectives of this paper is to propose a weak variational formulati
Externí odkaz:
http://arxiv.org/abs/1810.05437
This paper is concerned with the weak solvability of fully nonlinear parabolic variational inequalities with time dependent convex constraints. As possible approaches to such problems, there are for instance the time-discretization method and the fix
Externí odkaz:
http://arxiv.org/abs/1706.06528
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 biomass equation with degenerate and singular diffusion, a nutrient tran
Externí odkaz:
http://arxiv.org/abs/1703.04420
Publikováno v:
Journal of Mathematical Analysis and Applications, 449 (2017), pp. 1227 - 1249
We consider a class of parabolic variational inequalities with time dependent obstacle of the form $|{\boldsymbol u}(x,t)| \le p(x,t)$, where ${\boldsymbol u}$ is the velocity field of a fluid governed by the Navier--Stokes variational inequality. Th
Externí odkaz:
http://arxiv.org/abs/1612.07099
Inspired by the works of Hughes [17, 18], we formalize and prove the well posedness of a hyperbolic--elliptic system whose solutions describe the dynamics of a moving crowd. The resulting model is here shown to be well posed and the time of evacuatio
Externí odkaz:
http://arxiv.org/abs/1610.07450
Publikováno v:
In Nonlinear Analysis: Real World Applications August 2018 42:422-447
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 May 2017 449(2):1229-1247
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Publikováno v:
In Nonlinear Analysis: Real World Applications 2010 11(5):3555-3566