Strictly Physical Global Weak Solutions of a Navier-Stokes Q -tensor System with Singular Potential
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| 024 | 7 | 0 | |a 10.1007/s00205-015-0864-z |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00205-015-0864-z | ||
| 100 | 1 | |a Wilkinson |D Mark |u École Normale Supérieure, Paris, France |4 aut | |
| 245 | 1 | 0 | |a Strictly Physical Global Weak Solutions of a Navier-Stokes Q -tensor System with Singular Potential |h [Elektronische Daten] |c [Mark Wilkinson] |
| 520 | 3 | |a We study the existence, regularity and so-called ‘strict physicality' of global weak solutions of a Beris-Edwards system which is proposed as a model for the incompressible flow of nematic liquid crystal materials. An important contribution to the dynamics comes from a singular potential introduced by John Ball and Apala Majumdar which replaces the commonly employed Landau-de Gennes bulk potential. This is built into our model to ensure that a natural physical constraint on the eigenvalues of the Q-tensor order parameter is respected by the dynamics of this system. Moreover, by a maximum principle argument, we are able to construct global strong solutions in dimension two. | |
| 540 | |a Springer-Verlag Berlin Heidelberg, 2015 | ||
| 773 | 0 | |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 218/1(2015-10-01), 487-526 |x 0003-9527 |q 218:1<487 |1 2015 |2 218 |o 205 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00205-015-0864-z |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/s00205-015-0864-z |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Wilkinson |D Mark |u École Normale Supérieure, Paris, France |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 218/1(2015-10-01), 487-526 |x 0003-9527 |q 218:1<487 |1 2015 |2 218 |o 205 | ||