Results 21 to 30 of about 81 (63)
Noncoercive quasilinear elliptic operators with singular lower order terms
, 2020 We consider a family of quasilinear second order elliptic differential operators which are not coercive and are defined by functions in Marcinkiewicz spaces. We prove the existence of a solution to the corresponding Dirichlet problem.
Farroni, Fernando +3 more
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Optimal control of geometric partial differential equations [PDF]
, 2019 Optimal control problems for geometric (evolutionary) partial differential inclusions are considered. The focus is on problems which, in addition to the nonlinearity due to geometric evolution, contain optimization theoretic challenges because of non ...
Hintermüller, Michael, Keil, Tobias
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An elastic-viscoplastic contact problem with internal state variable, normal damped response and unilateral constraint [PDF]
In this manuscript, we study a contact problem between an elasticviscoplastic body and an obstacle. The contact is quasistatic and it is described with a normal damped response condition with friction and unilateral constraint.
BOUCHELIL, Dounia, CHOUCHANE, Lamia
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Simulation and control of a nonsmooth Cahn--Hilliard Navier--Stokes system with variable fluid densities [PDF]
, 2019 We are concerned with the simulation and control of a two phase flow model governed by a coupled Cahn--Hilliard Navier--Stokes system involving a nonsmooth energy potential.We establish the existence of optimal solutions and present two distinct ...
Gräßle, Carmen +3 more
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, 2023 We study minimizers of non-autonomous energies with minimal growth and coercivity assumptions on the energy. We show that the minimizer is nevertheless the solution of the relevant Euler--Lagrange equation or inequality.
Harjulehto, Petteri +2 more
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Recent trends and views on elliptic quasi-variational inequalities [PDF]
, 2018 We consider state-of-the-art methods, theoretical limitations, and open problems in elliptic Quasi-Variational Inequalities (QVIs). This involves the development of solution algorithms in function space, existence theory, and the study of optimization ...
Alphonse, Amal +2 more
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Optimal Control of a Semidiscrete Cahn-Hilliard-Navier-Stokes System with Non-Matched Fluid Densities [PDF]
, 2015 This paper is concerned with the distributed optimal control of a time-discrete Cahn--Hilliard/Navier--Stokes system with variable densities. It focuses on the double-obstacle potential which yields an optimal control problem for a family of coupled ...
Hintermüller, Michael +2 more
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On optimal control in a nonlinear interface problem described by hemivariational inequalities
, 2022 The purpose of this paper is three-fold. Firstly we attack a nonlinear interface problem on an unbounded domain with nonmonotone set-valued transmission conditions.
Gwinner, Joachim
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Elliptic obstacle problems with measure data : potentials and low order regularity [PDF]
, 2012 We consider obstacle problems with measure data related to elliptic equations of p-Laplace type, and investigate the connections between low order regularity properties of the solutions and non-linear potentials of the data.
Scheven, C.
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, 2022 In this paper we examine a class of elliptic quasi-variational inequalities which involve a constraint set and a set-valued map. First, we establish existence of solution and the compactness of the solution set.
Stanislaw Migorski, Sylwia Dudek
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