Open AccessSolvability of a class of thermal dynamical contact problems with subdifferential conditions
Author(s) -
Samir Adly,
Oanh Chau,
M. Rochdi
Publication year - 2012
Publication title -
numerical algebra, control and optimization
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.303
H-Index - 20
eISSN - 2155-3289
pISSN - 2155-3297
DOI - 10.3934/naco.2012.2.91
Subject(s) - uniqueness , subderivative , monotone polygon , class (philosophy) , mathematics , order (exchange) , monotonic function , first order , inequality , fixed point , point (geometry) , mathematical analysis , mathematical economics , computer science , geometry , regular polygon , economics , finance , convex optimization , artificial intelligence
International audienceWe study a class of dynamic thermal sub-differential contact problems with friction, for long memory visco-elastic materials, which can be put into a general model of system defined by a second order evolution inequality, coupled with a first order evolution equation. We present and establish an existence and uniqueness result, by using general results on first order evolution inequality, with monotone operators and fixed point methods