Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 0842.35084
Lin, Fang-Hua; Liu, Chun
Nonparabolic dissipative systems modeling the flow of liquid crystals. (English)
[J] Commun. Pure Appl. Math. 48, No.5, 501-537 (1995). ISSN 0010-3640

Summary: We study a simplified system which retains most of the interesting mathematical properties of the original Ericksen-Leslie equations for the flow of liquid crystals. This is a coupled nonparabolic dissipative dynamic system. We derive several energy laws which enable us to prove the global existence of the weak solutions and the classical solutions. We also discuss uniqueness and some stability properties of the system.

MSC 2000:: *35Q35 Other equations arising in fluid mechanics
76A15 Liquid crystals
35D05 Existence of generalized solutions of PDE
35A05 General existence and uniqueness theorems (PDE)
35B35 Stability of solutions of PDE

Keywords: Ladyzhenskaya method; energy inequality; Ericksen-Leslie equations; existence; uniqueness; stability

Cited in: Zbl 1192.82080

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]