Počet záznamů: 1
On a hyperbolic system arising in liquid crystals modeling
- 1.0488850 - MÚ 2019 RIV US eng J - Článek v odborném periodiku
Feireisl, Eduard - Rocca, E. - Schimperna, G. - Zarnescu, A.
On a hyperbolic system arising in liquid crystals modeling.
Journal of Hyperbolic Differential Equations. Roč. 15, č. 1 (2018), s. 15-35. ISSN 0219-8916. E-ISSN 1793-6993
GRANT EU: European Commission(XE) 320078 - MATHEF
Institucionální podpora: RVO:67985840
Klíčová slova: dissipative solution * liquid crystal * weak-strong uniqueness
Obor OECD: Pure mathematics
Impakt faktor: 0.426, rok: 2018
https://www.worldscientific.com/doi/abs/10.1142/S0219891618500029
We consider a model of liquid crystals, based on a nonlinear hyperbolic system of differential equations, that represents an inviscid version of the model proposed by Qian and Sheng. A new concept of dissipative solution is proposed, for which a global-in-time existence theorem is shown. The dissipative solutions enjoy the following properties: (i) they exist globally in time for any finite energy initial data, (ii) dissipative solutions enjoying certain smoothness are classical solutions, (iii) a dissipative solution coincides with a strong solution originating from the same initial data as long as the latter exists.
Trvalý link: http://hdl.handle.net/11104/0283372
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