Mean curvature flow in higher codimension: introduction and survey
K Smoczyk - Global differential geometry, 2011 - Springer
Mean Curvature Flow in Higher Codimension: Introduction and Survey Page 1 Mean
Curvature Flow in Higher Codimension: Introduction and Survey Knut Smoczyk Abstract In this …
Curvature Flow in Higher Codimension: Introduction and Survey Knut Smoczyk Abstract In this …
Translating solitons in a Lorentzian setting, submersions and cohomogeneity one actions
We study new examples of translating solitons of the mean curvature flow, especially in
Minkowski space. We consider for this purpose manifolds admitting submersions and …
Minkowski space. We consider for this purpose manifolds admitting submersions and …
Translating solitons of mean curvature flow of noncompact spacelike hypersurfaces in Minkowski space
HY Jian - Journal of Differential Equations, 2006 - Elsevier
Translating solitons of mean curvature flow of noncompact spacelike hypersurfaces in
Minkowski space Page 1 J. Differential Equations 220 (2006) 147–162 www.elsevier.com/locate/jde …
Minkowski space Page 1 J. Differential Equations 220 (2006) 147–162 www.elsevier.com/locate/jde …
Ginzburg–Landau vortex and mean curvature flow with external force field
HY Jian, YN Liu - Acta Mathematica Sinica, 2006 - Springer
This paper is devoted to the study of the vortex dynamics of the Cauchy problem for a
parabolic Ginzburg–Landau system which simulates inhomogeneous type II …
parabolic Ginzburg–Landau system which simulates inhomogeneous type II …
Properties of translating solutions to mean curvature flow
C Gui, H Jian, H Ju - arXiv preprint arXiv:0909.5021, 2009 - arxiv.org
arXiv:0909.5021v1 [math.AP] 28 Sep 2009 Page 1 arXiv:0909.5021v1 [math.AP] 28 Sep 2009
Properties of Translating Solutions to Mean Curvature Flow ∗ Changfeng Gui Department of …
Properties of Translating Solutions to Mean Curvature Flow ∗ Changfeng Gui Department of …
Long-time existence of mean curvature flow with external force fields
HY Jian, Y Liu - Pacific Journal of Mathematics, 2008 - msp.org
We study the evolution of submanifolds moving by mean curvature and an external force
field. We prove flow has a long-time smooth solution for all time under almost optimal …
field. We prove flow has a long-time smooth solution for all time under almost optimal …
Evolution of hypersurfaces by the mean curvature minus an external force field
Y Liu, H Jian - Science in China Series A: Mathematics, 2007 - Springer
In this paper, we study the evolution of hypersurface moving by the mean curvature minus
an external force field. It is shown that the flow will blow up in a finite time if the mean …
an external force field. It is shown that the flow will blow up in a finite time if the mean …
[PDF][PDF] Translating solutions to mean curvature flow with a forcing term in Minkowski space
H Ju, J Lu, H Jian - Commun. Pure Appl. Anal, 2010 - researchgate.net
1. Introduction. The linear space Rn+ 1 endowed with the Lorentz metric ds2=∑ ni= 1 dx2 i−
dx2 n+ 1 is called Minkowski space. We denoted it by Rn, 1. A spacelike hypersurface in Rn …
dx2 n+ 1 is called Minkowski space. We denoted it by Rn, 1. A spacelike hypersurface in Rn …
The existence and long-time behavior of weak solution to bipolar quantum drift-diffusion model
The authors study the existence and long-time behavior of weak solutions to the bipolar
transient quantum drift-diffusion model, a fourth order parabolic system. Using semi …
transient quantum drift-diffusion model, a fourth order parabolic system. Using semi …
Translating solitons of mean curvature flow of noncompact submanifolds
G Li, D Tian, C Wu - Mathematical Physics, Analysis and Geometry, 2011 - Springer
Translating Solitons of Mean Curvature Flow of Noncompact Submanifolds Page 1 Math Phys
Anal Geom (2011) 14:83–99 DOI 10.1007/s11040-011-9088-0 Translating Solitons of Mean …
Anal Geom (2011) 14:83–99 DOI 10.1007/s11040-011-9088-0 Translating Solitons of Mean …