The small Deborah number limit of the Doi–Onsager equation without hydrodynamics
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چکیده
منابع مشابه
The Small Deborah Number Limit of the Doi-onsager Equation to the Ericksen-leslie Equation
We present a rigorous derivation of the Ericksen-Leslie equation starting from the Doi-Onsager equation. As in the fluid dynamic limit of the Boltzmann equation, we first make the Hilbert expansion for the solution of the Doi-Onsager equation. The existence of the Hilbert expansion is connected to an open question whether the energy of the EricksenLeslie equation is dissipated. We show that the...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2018
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2018.07.013