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Existence and uniqueness theorems in two-dimensional nematodynamics. Finite speed of propagation - MaRDI portal

Existence and uniqueness theorems in two-dimensional nematodynamics. Finite speed of propagation (Q498209)

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scientific article; zbMATH DE number 6485681
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Existence and uniqueness theorems in two-dimensional nematodynamics. Finite speed of propagation
scientific article; zbMATH DE number 6485681

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    Existence and uniqueness theorems in two-dimensional nematodynamics. Finite speed of propagation (English)
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    28 September 2015
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    This short paper deals with the Ericksen-Leslie system of equations which describe liquid cristals. The authors focus more especially on the non-dissipative case. They prove an existence and uniqueness theorem for the solution of these equations in the case of two-dimensional periodic media as well as for the problem defined in a bounded domain of the plane. In addition, they get some results, in the form of inequalities, on the finite propagation velocity of waves in such media.
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    liquid cristal
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    Ericksen-Leslie equations
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