An epiperimetric inequality approach to the parabolic Signorini problem

W Shi - arXiv preprint arXiv:1810.11791, 2018 - arxiv.org
… a new approach to study the asymptotics of solutions to the parabolic Signorini problem at the
… In the end using (27) and passing to the limit in the variational inequality of ûj we conclude …

The two-phase parabolic Signorini problem

M Allen, W Shi - Indiana University Mathematics Journal, 2016 - JSTOR
… We study solutions to a variational inequality that mod els heat control on the boundary…
formula in Proposition 5.3. LetU\, U2 satisfy the assumptions in The Then, cp(i; Mi, W2) is constant

A new class of generalized quasi-variational inequalities with applications to Oseen problems under nonsmooth boundary conditions

S Zeng, AA Khan, S Migórski - Science China Mathematics, 2024 - Springer
… boundary condition, a unilateral contact condition of Signorini’… and the leak boundary
condition is formulated by the convex … for elliptic as well as parabolic problems, regularization …

Semilinear Degenerate Biot–Signorini System

A Hosseinkhan, RE Showalter - SIAM Journal on Mathematical Analysis, 2023 - SIAM
… boundary conditions, attainment of initial values, and parabolicSignorini type given by a
variational inequality. The initial-boundary-value problem for this general system is formulated

A new class of elliptic quasi-variational-hemivariational inequalities for fluid flow with mixed boundary conditions

S Migórski, S Dudek - Computers & Mathematics with Applications, 2021 - Elsevier
… with the pioneering works of Signorini, Fichera, Stampacchia… Quasi-variational inequalities,
of both elliptic and parabolic … of solution to an abstract formulation, see Theorem 3.1. In the …

[PDF][PDF] The Gradient Discretisation Method For Variational Inequalities

YAM ALNASHRI - 2017 - scholar.archive.org
… convergence for linear parabolic variational inequalities. As … , Neumann and Signorini
boundary conditions, with each … for linear variational inequalities, and to find a generic formula to …

[PDF][PDF] CONVERGENCE ANALYSIS OF NUMERICAL SCHEMES FOR NON-LINEAR VARIATIONAL INEQUALITIES, APPLICATION TO THE SEEPAGE PROBLEM

Y ALNASHRI, J DRONIOU - arXiv preprint arXiv:1611.08338, 2016 - researchgate.net
… Bulkley models, which can be formulated as non-linear VIs. It … problems involving Signorini
boundary conditions, can be … on elliptic and parabolic PDEs: linear and non-linear diffusion, …

[图书][B] Multi-valued variational inequalities and inclusions

S Carl, VK Le - 2021 - Springer
… obstacle problems in elasticity, the Signorini problem [222], … variational inequalities to
parabolic variational inequalities (… We also investigate in this chapter stationary MVIs, formulated

Inverse problems for multi-valued quasi variational inequalities and noncoercive variational inequalities with noisy data

AA Khan, S Migorski, M Sama - Optimization, 2019 - Taylor & Francis
… inverse elasticity problem with Signorini's condition. In [Citation… for a non-linear parabolic
boundary hemi-variational inequality. … , we shall now resort to an optimization formulation for the …

[图书][B] Variational-hemivariational inequalities with applications

M Sofonea, S Migorski - 2017 - taylorfrancis.com
… For each of the problems, we provide a variational formulation, which is usually in the form …
the general principle in the study of elliptic variational inequalities. We deduce from the above …