On the Stability of Linear Evolution Variational Inequalities

2003 ◽  
Vol 36 (6) ◽  
pp. 159-161
Author(s):  
Daniel Goeleven ◽  
Bernard Brogliato
Keyword(s):  
Variational Inequalities ◽  
Linear Evolution ◽  
Evolution Variational Inequalities ◽  
The Stability

scholarly journals Maxwell quasi-variational inequalities in superconductivity

2021 ◽  
Author(s):  
Irwin Yousept
Keyword(s):  
Variational Inequalities ◽  
Magnetic Field Dependence ◽  
Existence Result ◽  
Time Discretization ◽  
Stability And Convergence ◽  
Well Posedness ◽  
Modeling And Analysis ◽  
Quasi Variational Inequality ◽  
The Stability ◽  
Point Argument

This paper is devoted to the mathematical modeling and analysis of a hyperbolic Maxwell quasi-variational inequality (QVI) for  the Bean-Kim superconductivity model with temperature and magnetic field dependence in the critical current. Emerging from the Euler time discretization, we analyze the corresponding H(curl)-elliptic QVI and prove its existence using a fixed-point argument in combination with techniques from variational inequalities and Maxwell's equations.  Based on the existence result  for the H(curl)-elliptic QVI, we examine the  stability and convergence of the Euler scheme, which serve as our fundament for the well-posedness of the governing hyperbolic Maxwell QVI.

scholarly journals The stability of accretion tori – II. Non-linear evolution to discrete planets

1987 ◽  
Vol 225 (3) ◽  
pp. 695-711 ◽  
Author(s):  
Jeremy Goodman ◽  
Ramesh Narayan ◽  
Peter Goldreich
Keyword(s):  
Linear Evolution ◽  
Non Linear ◽  
The Stability

scholarly journals Conical differentiability for evolution variational inequalities

2003 ◽  
Vol 193 (1) ◽  
pp. 131-146 ◽  
Author(s):  
Jiřı́ Jarušek ◽  
Miroslav Krbec ◽  
Murali Rao ◽  
Jan Sokołowski
Keyword(s):  
Variational Inequalities ◽  
Evolution Variational Inequalities
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