Global smooth solution to the simplified Ericksen-Leslie system in dimension three
Wenke Tan, Zhaoyang Yin
TL;DR
This paper proves the existence of a unique global smooth solution for the simplified Ericksen-Leslie system in three dimensions without requiring small initial data, advancing understanding of this complex fluid model.
Contribution
It establishes the first global smooth solution existence result for the simplified Ericksen-Leslie system in 3D without smallness assumptions on initial data.
Findings
Existence of unique global smooth solutions in 3D
No smallness condition required on initial data
Advances understanding of Ericksen-Leslie system dynamics
Abstract
In this paper, we consider Cauchy problem of simplified Ericksen-Leslie system in dimension three. We establish the unique existence of global smooth solution under some nonlinear conditions on initial data. However, we do not need small conditions on initial data.
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Taxonomy
TopicsNonlinear Waves and Solitons · Advanced Mathematical Physics Problems · Navier-Stokes equation solutions