Time Dependent Variational Inequalities — Some Recent Trends

2003 ◽  
pp. 225-264 ◽  
Author(s):  
Joachim Gwinner
Keyword(s):  
Variational Inequalities ◽  
Time Dependent ◽  
Recent Trends

scholarly journals Variational inequalities of Navier–Stokes type with time dependent constraints

2017 ◽  
Vol 449 (2) ◽  
pp. 1229-1247 ◽  
Author(s):  
Maria Gokieli ◽  
Nobuyuki Kenmochi ◽  
Marek Niezgódka
Keyword(s):  
Variational Inequalities ◽  
Time Dependent ◽  
Navier Stokes

scholarly journals REGULARITY RESULTS FOR TIME-DEPENDENT VARIATIONAL AND QUASI-VARIATIONAL INEQUALITIES AND APPLICATION TO THE CALCULATION OF DYNAMIC TRAFFIC NETWORK

2007 ◽  
Vol 17 (02) ◽  
pp. 277-304 ◽  
Author(s):  
ANNAMARIA BARBAGALLO
Keyword(s):  
Variational Inequalities ◽  
Time Dependent ◽  
Network Equilibrium ◽  
Traffic Network ◽  
Set Convergence ◽  
Appropriate Use ◽  
Continuity Of Solutions ◽  
Regularity Results ◽  
Network Equilibrium Problem ◽  
Discretization Procedure

The aim of this paper is to consider time-dependent variational and quasi-variational inequalities and to study under which assumptions the continuity of solutions with respect to time can be ensured. Making an appropriate use of the set convergence in Mosco's sense, we are able to prove continuity results for strongly monotone variational and quasi-variational inequalities. The continuity results allow us to provide a discretization procedure for the calculation of solutions to the variational inequalities and, as a consequence, we can solve the time-dependent traffic network equilibrium problem.

scholarly journals Weak solutions for certain nonlinear time-dependent parabolic variational inequalities

1975 ◽  
Vol 5 (3) ◽  
pp. 525-535
Author(s):  
Nobuyuki Kenmochi ◽  
Toshitaka Nagai
Keyword(s):  
Variational Inequalities ◽  
Weak Solutions ◽  
Time Dependent

scholarly journals A System of Differential Set-Valued Variational Inequalities in Finite Dimensional Spaces

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Wei Li ◽  
Xing Wang ◽  
Nan-Jing Huang
Keyword(s):  
Variational Inequalities ◽  
Existence Theorem ◽  
Weak Solutions ◽  
Convergence Result ◽  
Time Dependent ◽  
Euclidean Spaces ◽  
Finite Dimensional ◽  
Differential Set

A system of differential set-valued variational inequalities is introduced and studied in finite dimensional Euclidean spaces. An existence theorem of weak solutions for the system of differential set-valued variational inequalities in the sense of Carathéodory is proved under some suitable conditions. Furthermore, a convergence result on Euler time-dependent procedure for solving the system of differential set-valued variational inequalities is also given.

scholarly journals Certain remarks on a class of evolution quasi-variational inequalities

2000 ◽  
Vol 24 (12) ◽  
pp. 851-855 ◽  
Author(s):  
A. H. Siddiqi ◽  
Pammy Manchanda
Keyword(s):  
Variational Inequality ◽  
Variational Inequalities ◽  
Existence Theorems ◽  
Static Problem ◽  
The Other ◽  
Time Dependent ◽  
Isotropic Hardening ◽  
Quasi Variational Inequality

We prove two existence theorems, one for evolution quasi-variational inequalities and the other for a time-dependent quasi-variational inequality modeling the quasi-static problem of elastoplasticity with combined kinetic-isotropic hardening.

Sign in / Sign up

Export Citation Format

Share Document