Journal
COMPTES RENDUS MECANIQUE
Volume 349, Issue 1, Pages 21-27Publisher
centre Mersenne pour ldition scientifique ouverte
DOI: 10.5802/crmeca.67
Keywords
Liquid crystals; Eringen equations; Nematodynamics; Existence and uniqueness; Conservation laws; Micromomentum of molecules; Local solution
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Funding
- Russian Science Foundation [20-1120272]
- National Natural Science Foundation of China [11871334]
- NCCR SwissMAP grant of the Swiss National Science Foundation
- Committee of Science of the Ministry of Education and Science of the Republic of Kazakhstan [AP08855579]
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This paper introduces the three-dimensional Eringen system of equations for nematodynamics of liquid crystals, proving the short-time existence and uniqueness of strong solutions for the one-dimensional problem in the periodic case, and demonstrating the continuous dependence of the solution on the initial data.
We introduce the three-dimensional Eringen system of equations for the nematodynamics of liquid crystals, announce the short time existence and uniqueness of strong solutions for the one-dimensional problem in the periodic case, and show the continuous dependence of the solution on the initial data.
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