On a hyperbolic system arising in liquid crystals modeling

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F18%3A00488850" target="_blank" >RIV/67985840:_____/18:00488850 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1142/S0219891618500029" target="_blank" >http://dx.doi.org/10.1142/S0219891618500029</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S0219891618500029" target="_blank" >10.1142/S0219891618500029</a>

Result language
angličtina
Original language name
On a hyperbolic system arising in liquid crystals modeling
Original language description
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.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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