0444502 20240103210131.620150625235959.9 000360922400019 84930257528 10.3934/dcds.2015.35.5999 15 s. P cav_un_epca*02558981078-09473512 (2015)5999-6013AIMS Press magnetoelasticity energetic solution existence dimension reduction cav_un_auth*0101142 Kružík Martin Matematická teorie rozhodování Department of Decision Making Theory MTR MTR UTIA-B Department of Decision Making Theory 34 Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0316230 Stefanelli U. AT K 33 cav_un_auth*0249067 Zanini Ch. IT 33 http://library.utia.cas.cz/separaty/2015/MTR/kruzik-0444502.pdf GAP201/10/0357 GA ČR cav_un_auth*0263489 GA14-15264S GA ČR cav_un_auth*0304434 A rate-independent model for the quasistatic evolution of a magnetoelastic plate is advanced and analyzed. Starting from the three-dimensional setting, we present an evolutionary Γ-convergence argument in order to pass to the limit in one of the material dimensions. By taking into account both conservative and dissipative actions, a nonlinear evolution system of rateindependent type is obtained. The existence of so-called energetic solutions to such system is proved via approximation. 2016 BA 3 4 A hod 4ah 20231122141004.5 RVO:67985556 http://hdl.handle.net/11104/0247497 1 Department of Decision Making Theory UTIA-B 10102 MATHEMATICS, APPLIED S MATHEMATICS|MATHEMATICS.APPLIED 1.168 0.353 5.8 0.01809 1.03 2790 1.568 Q1 1.047 272 Q1 80.279 79.1 Q1 Q1* 86.699 2015 Soubory v repozitáři: kruzik-0444502.pdf 84930257528 SCOPUS 000360922400019 WOS cav_un_epca*0255898 Discrete and Continuous Dynamical Systems 1078-0947 1553-5231 Roč. 35 č. 12 2015 5999 6013 AIMS Press