Global existence of low‐energy weak solutions to the compressible nematic liquid crystal flows

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Analysis reveals global existence of weak solutions in compressible nematic flows under specific conditions, indicating stability benefits.

Global existence of low-energy weak solutions confirms stability within compressible nematic liquid crystal flows.
Solutions show density is uniformly bounded, with continuous velocity and molecular orientation across the boundary.
Employing Hoff's method, the study focuses on a half-space setup with no-slip and Neumann boundary conditions.
Findings imply broader implications for understanding complex fluid dynamics in nematic systems under discontinuous conditions.

Xu et al. (2025) studied this question.

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View Full Paper

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Analysis reveals global existence of weak solutions in compressible nematic flows under specific conditions, indicating stability benefits.

Global existence of low-energy weak solutions confirms stability within compressible nematic liquid crystal flows.
Solutions show density is uniformly bounded, with continuous velocity and molecular orientation across the boundary.
Employing Hoff's method, the study focuses on a half-space setup with no-slip and Neumann boundary conditions.
Findings imply broader implications for understanding complex fluid dynamics in nematic systems under discontinuous conditions.

Xu et al. (2025) studied this question.

View Full Paper

Ask AI

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