. "0"^^ . "4"^^ . . . "4"^^ . "1"^^ . . . "Hysteresis and dissipation in hyperbolic equations."@en . . "Hlavn\u00ED d\u016Fraz je kladen na hled\u00E1n\u00ED obecn\u00FDch p\u0159\u00EDstup\u016F k evolu\u010Dn\u00EDm proces\u016Fm vykazuj\u00EDc\u00EDm fyzik\u00E1ln\u00ED motivovan\u00E9 singularity s hysterezn\u00EDm chov\u00E1n\u00EDm. Vznik hystereze o\u010Dek\u00E1v\u00E1me p\u0159i zaveden\u00ED principu maxim\u00E1ln\u00ED disipace do Riemannovy \u00FAlohy pro kvanziline\u00E1rn\u00ED vlnovou rovnici s nekonvexn\u00EDm, p\u0159\u00EDpadn\u011B nemonot\u00F3nn\u00EDm konstitu\u010Dn\u00EDm z\u00E1konem. V teorii plasticity je princip maxim\u00E1ln\u00ED disipace (a tedy hysterezn\u00ED struktura) uplatn\u011Bn ji\u017E v konstitu\u010Dn\u00EDm z\u00E1konu. Dal\u0161\u00EDm sm\u011Brem v\u00FDzkumu je vliv \u00FAnavy materi\u00E1lu na vznik singularit v rovnic\u00EDch elastoplasticity. U homogenn\u00EDm materi\u00E9l\u016F lze toti\u017E za jist\u00FDch p\u0159edpoklad\u016F ztoto\u017Enit z\u00E1kon akumulace \u00FAnavy se z\u00E1konem disipace energie. Dlouhodob\u00FDm c\u00EDlem je obecn\u00E9 studium vztah\u016F mezi singul\u00E1rn\u00EDmi poruchami, principem maxim\u00E1ln\u00ED disipace a hystereez\u00ED v hyperbolick\u00FDch rovnic\u00EDch." . "Hystereze a disipace energie v hyperbolick\u00FDch rovnic\u00EDch" . . . . . . . "GA201/93/0054" . "http://www.isvav.cz/projectDetail.do?rowId=GA201/93/0054"^^ . "0"^^ . .