On a hyperbolic system arising in liquid crystals modeling
On a hyperbolic system arising in liquid crystals modeling
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DOI：
10.1142/s0219891618500029
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发表时间：
2016-10
期刊：
影响因子：
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通讯作者：
E. Feireisl;Elisabetta Rocca;Giulio Schimperna;A. Zarnescu;A. Zarnescu;A. Zarnescu
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文献类型：
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作者：
E. Feireisl;Elisabetta Rocca;Giulio Schimperna;A. Zarnescu;A. Zarnescu;A. Zarnescu
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.
