Nonisothermal nematic liquid crystal flows with the Ball-Majumdar free energy
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| 024 | 7 | 0 | |a 10.1007/s10231-014-0419-1 |2 doi |
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| 245 | 0 | 0 | |a Nonisothermal nematic liquid crystal flows with the Ball-Majumdar free energy |h [Elektronische Daten] |c [Eduard Feireisl, Giulio Schimperna, Elisabetta Rocca, Arghir Zarnescu] |
| 520 | 3 | |a In this paper, we prove the existence of global-in-time weak solutions for an evolutionary PDE system modelling nonisothermal Landau-de Gennes nematic liquid crystal (LC) flows in three dimensions of space. In our model, the incompressible Navier-Stokes system for the macroscopic velocity $$\mathbf{u}$$ u is coupled to a nonlinear convective parabolic equation describing the evolution of the $$Q$$ Q -tensor $$\mathbb {Q}$$ Q , namely a tensor-valued variable representing the normalized second-order moments of the probability distribution function of the LC molecules. The effects of the (absolute) temperature $$\vartheta $$ ϑ are prescribed in the form of an energy balance identity complemented with a global entropy production inequality. Compared to previous contributions, we can consider here the physically realistic singular configuration potential $$f$$ f introduced by Ball and Majumdar. This potential gives rise to severe mathematical difficulties since it introduces, in the $$Q$$ Q -tensor equation, a term that is at the same time singular in $$\mathbb {Q}$$ Q and degenerate in $$\vartheta $$ ϑ . To treat it, a careful analysis of the properties of $$f$$ f , particularly of its blow-up rate, is carried out. | |
| 540 | |a Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg, 2014 | ||
| 690 | 7 | |a Nematic liquid crystal |2 nationallicence | |
| 690 | 7 | |a Ball-Majumdar free energy |2 nationallicence | |
| 690 | 7 | |a Nonisothermal model |2 nationallicence | |
| 690 | 7 | |a Existence theorem |2 nationallicence | |
| 700 | 1 | |a Feireisl |D Eduard |u Institute of Mathematics, Czech Academy of Sciences, Žitná 25, 11567, Praha 1, Czech Republic |4 aut | |
| 700 | 1 | |a Schimperna |D Giulio |u Dipartimento di Matematica, Università di Pavia, Via Ferrata1, 27100, Pavia, Italy |4 aut | |
| 700 | 1 | |a Rocca |D Elisabetta |u Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstr.39, 10117, Berlin, Germany |4 aut | |
| 700 | 1 | |a Zarnescu |D Arghir |u Pevensey III, University of Sussex, BN1 9QH, Falmer, UK |4 aut | |
| 773 | 0 | |t Annali di Matematica Pura ed Applicata (1923 -) |d Springer Berlin Heidelberg |g 194/5(2015-10-01), 1269-1299 |x 0373-3114 |q 194:5<1269 |1 2015 |2 194 |o 10231 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10231-014-0419-1 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10231-014-0419-1 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Feireisl |D Eduard |u Institute of Mathematics, Czech Academy of Sciences, Žitná 25, 11567, Praha 1, Czech Republic |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Schimperna |D Giulio |u Dipartimento di Matematica, Università di Pavia, Via Ferrata1, 27100, Pavia, Italy |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Rocca |D Elisabetta |u Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstr.39, 10117, Berlin, Germany |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Zarnescu |D Arghir |u Pevensey III, University of Sussex, BN1 9QH, Falmer, UK |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Annali di Matematica Pura ed Applicata (1923 -) |d Springer Berlin Heidelberg |g 194/5(2015-10-01), 1269-1299 |x 0373-3114 |q 194:5<1269 |1 2015 |2 194 |o 10231 | ||