Number of the records: 1
On a hyperbolic system arising in liquid crystals modeling
- 1.
SYSNO ASEP 0488850 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title On a hyperbolic system arising in liquid crystals modeling Author(s) Feireisl, Eduard (MU-W) RID, SAI, ORCID
Rocca, E. (IT)
Schimperna, G. (IT)
Zarnescu, A. (ES)Source Title Journal of Hyperbolic Differential Equations . - : World Scientific Publishing - ISSN 0219-8916
Roč. 15, č. 1 (2018), s. 15-35Number of pages 21 s. Language eng - English Country US - United States Keywords dissipative solution ; liquid crystal ; weak-strong uniqueness Subject RIV BA - General Mathematics OECD category Pure mathematics Institutional support MU-W - RVO:67985840 UT WOS 000437004400002 EID SCOPUS 85044585545 DOI 10.1142/S0219891618500029 Annotation 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2019
Number of the records: 1