Uniqueness of harmonic map heat flows and liquid crystal flows

Junyu Lin

Type: Article

Publication Date: 2012-10-02

Citations: 3

DOI: https://doi.org/10.3934/dcds.2013.33.739

View Publication

Locations

Discrete and Continuous Dynamical Systems - View

Similar Works

Action	Title	Year	Authors
+	On the Uniqueness of Heat Flow of Harmonic Maps and Hydrodynamic Flow of Nematic Liquid Crystals	2010	Fanghua Lin Changyou Wang
+	On the Uniqueness of Heat Flow of Harmonic Maps and Hydrodynamic Flow of Nematic Liquid Crystals	2010	Wang Courant
+ PDF Chat	On the uniqueness of heat flow of harmonic maps and hydrodynamic flow of nematic liquid crystals	2010	Fanghua Lin Changyou Wang
+	On uniqueness of heat flow of harmonic maps	2012	Tao Huang Changyou Wang
+ PDF Chat	On uniqueness of heat flow of harmonic maps	2016	Changyou Wang Tao Huang
+ PDF Chat	Well-posedness for the heat flow of harmonic maps and the liquid crystal flow with rough initial data	2010	Changyou Wang
+	EXISTENCE AND NONUNIQUENESS FOR THE HEAT FLOW OF INHOMOGENEOUS HARMONIC MAP EQUATION	1997	周春琴
+	From the Q-tensor flow for the liquid crystal to the Harmonic map flow	2015	Meng Wang Wendong Wang Zhifei Zhang
+ PDF Chat	Heat flow and boundary value problem for harmonic maps	1989	Chang Kungching
+	Global Wellposedness of Liquid Crystals and Heat Harmonic Maps in Two Dimensions	2012	Zhen Lei Dong Li Xiaoyi Zhang
+	Existence and partial regularity results for the heat flow for harmonic maps	1989	Yunmei Chen Michaël Struwe
+	Uniqueness for the harmonic map flow in two dimensions	1995	Alexandre Freire
+	Uniqueness for the harmonic map flow in two dimensions	1995	Alexandre Rodrigues Freire
+ PDF Chat	Gradient estimates for the heat equation under the Ricci-harmonic map flow	2015	Mihai Băileșteanu
+	Remarks of Global Wellposedness of Liquid Crystal Flows and Heat Flows of Harmonic Maps in Two Dimensions	2012	Zhen Lei Dong Li Xiao-Yi Zhang
+	Global regularity and uniqueness of weak solution for the 2-D liquid crystal flows	2011	Xiang Xu Zhifei Zhang
+	Regularity and uniqueness of the heat ow of biharmonic maps	2012	Jay Hineman Tao Huang Changyou Wang
+ PDF Chat	Harmonic map heat flow with rough boundary data	2012	Lu Wang
+	Convergence to harmonic maps for the Landau-Lifshitz flows on two dimensional hyperbolic spaces	2016	Ze Li Lifeng Zhao
+	Global solutions to the heat flow for $m$-harmonic maps and regularity	2012	Verena Boegelein Frank Duzaar Christoph Scheven

Works That Cite This (3)

Action	Title	Year	Authors
+	Regularity of solutions to the liquid crystal flows with rough initial data	2013	Junyu Lin
+ PDF Chat	The Cauchy problem for the Landau–Lifshitz–Gilbert equation in BMO and self-similar solutions	2019	Susana Gutiérrez André de Laire
+ PDF Chat	On the temporal decay of solutions to the two‐dimensional nematic liquid crystal flows	2015	Qiao Liu

Works Cited by This (19)

Action	Title	Year	Authors
+ PDF Chat	Finite-time blow-up of the heat flow of harmonic maps from surfaces	1992	Kung-Ching Chang Wei Ding Rugang Ye
+ PDF Chat	On the evolution of harmonic maps in higher dimensions	1988	Michaël Struwe
+	Harmonic Mappings of Riemannian Manifolds	1964	James Eells J. H. Sampson
+ PDF Chat	Partial regularity of the dynamic system modeling the flow of liquid crystals	1996	Fang-Hua Lin Chun Liu
+ PDF Chat	On the uniqueness of heat flow of harmonic maps and hydrodynamic flow of nematic liquid crystals	2010	Fanghua Lin Changyou Wang
+	Liquid Crystal Flows in Two Dimensions	2009	Fanghua Lin Junyu Lin Changyou Wang
+	Existence and partial regularity results for the heat flow for harmonic maps	1989	Yunmei Chen Michaël Struwe
+	Well-posedness for the Navier–Stokes Equations	2001	Herbert Koch Daniel Tataru
+	Blow-up and global existence for heat flows of harmonic maps	1990	Yunmei Chen Weiyue Ding
+	Nonparabolic dissipative systems modeling the flow of liquid crystals	1995	Fang‐Hua Lin Chun Liu