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Description
| - Příspěvek se zabývá rovnicí vedení tepla ve tvaru (c u+W[u])_t=div(a.grad u)=f, kde functionální operátor W[u] je Prandtlův-Ishlinského hysterézní operátor typu play charakterizováný distribuční functí eta. Je studována prostorově závislá počáteční okrajová úloha. Důkaz existence a jednoznačnosti řešení je vynechán, protože důkaz je lehkou modifikací důkazu Brokate a Sprekelse. Je řešena úloha homogenizace této rovnice. Pro eps->0, uvažujeme posloupnost úloh uvedeného tvaru s prostorově eps-periiodickými koeficienty c^eps, eta^eps, a^eps. Koefficienty c^star,eta^star a a^star v homogenizované úloze jsou identifikovány a konvergence příslušných řešení u^eps k u^star je dokázána. (cs)
- The contribution delas with heat equaition in the form (c u+W[u])_t=div(a.grad u)=f, where the functional operator W[u] is Prandtl-Ishlinskii hysteresis operator of play type characterized by a distribution function eta. The spatially dependent initial boundary value problem is studied. Proof of existence and uniqueness of the solution is omitted since the proof is a slightly modified proof by Brokate-Sprekels. The homogenization problem for this equation si studied. For eps->0, a sequence of pproblems of the above type with spatially eps-periodic coefficients c^eps, eta,^eps, a^eps si considered. The coefficients c^star,eta^star and a^star in the homogenized problem are identified and convergence of the corresponding solutions u^eps to u^star is proved.
- The contribution delas with heat equaition in the form (c u+W[u])_t=div(a.grad u)=f, where the functional operator W[u] is Prandtl-Ishlinskii hysteresis operator of play type characterized by a distribution function eta. The spatially dependent initial boundary value problem is studied. Proof of existence and uniqueness of the solution is omitted since the proof is a slightly modified proof by Brokate-Sprekels. The homogenization problem for this equation si studied. For eps->0, a sequence of pproblems of the above type with spatially eps-periodic coefficients c^eps, eta,^eps, a^eps si considered. The coefficients c^star,eta^star and a^star in the homogenized problem are identified and convergence of the corresponding solutions u^eps to u^star is proved. (en)
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Title
| - Homogenizace rovnice vedení tepla s hysterezí (cs)
- Homogenization of heat equation with hysteresis
- Homogenization of heat equation with hysteresis (en)
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skos:prefLabel
| - Homogenizace rovnice vedení tepla s hysterezí (cs)
- Homogenization of heat equation with hysteresis
- Homogenization of heat equation with hysteresis (en)
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skos:notation
| - RIV/00216305:26210/03:PU40864!RIV/2005/GA0/262105/N
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http://linked.open.../vavai/riv/strany
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http://linked.open...avai/riv/aktivita
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http://linked.open...avai/riv/aktivity
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http://linked.open...iv/cisloPeriodika
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http://linked.open...vai/riv/dodaniDat
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http://linked.open...aciTvurceVysledku
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http://linked.open.../riv/druhVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...titaPredkladatele
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http://linked.open...dnocenehoVysledku
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http://linked.open...ai/riv/idVysledku
| - RIV/00216305:26210/03:PU40864
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - Prandtl-Ishlinskii operaor, Homogenization, Heat equation (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...odStatuVydavatele
| - US - Spojené státy americké
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http://linked.open...ontrolniKodProRIV
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http://linked.open...i/riv/nazevZdroje
| - Mathematics and Computers in Simulation
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http://linked.open...in/vavai/riv/obor
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http://linked.open...ichTvurcuVysledku
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http://linked.open...cetTvurcuVysledku
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http://linked.open...vavai/riv/projekt
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http://linked.open...UplatneniVysledku
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http://linked.open...v/svazekPeriodika
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http://linked.open...iv/tvurceVysledku
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issn
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number of pages
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http://localhost/t...ganizacniJednotka
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