caa a22 4500 469084758 CHVBK 20180323133002.0 cr unu---uuuuu 170328e19921101xx s 000 0 eng 10.1007/BF00044516 doi (NATIONALLICENCE)springer-10.1007/BF00044516 Global solution to the incompressible viscous-multipolar material problem [Elektronische Daten] [Jindřich Nečas, Michael Růžička] In the paper we give a proof of the global existence of the weak solution to the initial-boundary-value problem describing an incompressible elasto-viscous-multipolar material in finite geometry. A brief introduction to the physical background of viscous-multipolar materials is given. We suggest the hypothesis % MathType!MTEF!2!1!+-% feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXafv3ySLgzGmvETj2BSbqefm0B1jxALjhiov2D% aebbfv3ySLgzGueE0jxyaibaiGc9yrFr0xXdbba91rFfpec8Eeeu0x% Xdbba9frFj0-OqFfea0dXdd9vqaq-JfrVkFHe9pgea0dXdar-Jb9hs% 0dXdbPYxe9vr0-vr0-vqpWqaaeaabiGaciaacaqabeaadaqaaqGaaO% qaamaaxadabaGaeu4OdmfaleaacaWGPbGaaiilaGqaciaa-bcacaWG% QbGaa8hiaiabg2da9iaa-bcacaaIXaaabaGaaG4maaaakiaa-bcada% abdiqcaasaaOWaaSaaaKaaGeaacqGHciITcqqHOoqwcaGGOaGaamOr% aiaacYcacqaH4oqCcaGGPaaabaGaeyOaIyRaamOraOWaaSbaaSqaai% aadMgacaWGbbaabeaaaaqcaaIaa8hiaiaadAeakmaaBaaaleaacaWG% QbGaamyqaaqabaaajaaqcaGLhWUaayjcSdGaa8hiaiabgsMiJkaado% gakmaaBaaaleaacaWFVbaabeaakiaadwgacaGGOaGaamOraiaacYca% ieaacaGFGaGaeqiUdeNaaiykaiaa+bcacqGHRaWkcaGFGaGaam4yam% aaBaaaleaacaaIXaGaa4hiaiaacYcaaeqaaaaa!686E!\[\mathop \Sigma \limits_{i, j = 1}^3 \left| {\frac{{\partial \Psi (F,\theta )}}{{\partial F_{iA} }} F_{jA} } \right| \leqslant c_o e(F, \theta ) + c_{1 ,} \] which enables one to obtain a priori estimates. Kluwer Academic Publishers, 1992 viscous-multipolar materials nationallicence a priori estimates nationallicence global existence nationallicence 35B45 nationallicence 35G25 nationallicence 35G30 nationallicence 73B05 nationallicence 73B25 nationallicence 73G15 nationallicence Nečas Jindřich Mathematical Institute, Charles University Prague, Sokolovská 83, 18000, Prague 88, Czechoslovakia aut Růžička Michael Section of Mathematics, University of Leipzig, Augustus Platz, 7010, Leipzig, Germany aut Journal of Elasticity Kluwer Academic Publishers 29/2(1992-11-01), 175-202 0374-3535 29:2<175 1992 29 10659 https://doi.org/10.1007/BF00044516 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00044516 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Nečas Jindřich Mathematical Institute, Charles University Prague, Sokolovská 83, 18000, Prague 88, Czechoslovakia aut NATIONALLICENCE 700 1- Růžička Michael Section of Mathematics, University of Leipzig, Augustus Platz, 7010, Leipzig, Germany aut NATIONALLICENCE 773 0- Journal of Elasticity Kluwer Academic Publishers 29/2(1992-11-01), 175-202 0374-3535 29:2<175 1992 29 10659 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer