scholarly journals A global weak solution to the Lorentzian harmonic map flow

2019 ◽  
Vol 63 (1) ◽  
pp. 155-166 ◽  
Author(s):  
Xiaoli Han ◽  
Lei Liu ◽  
Liang Zhao
Keyword(s):  
Weak Solution ◽  
Harmonic Map ◽  
Global Weak Solution ◽  
Harmonic Map Flow

scholarly journals A global weak solution of the Dirac-harmonic map flow

2017 ◽  
Vol 34 (7) ◽  
pp. 1851-1882 ◽  
Author(s):  
Jürgen Jost ◽  
Lei Liu ◽  
Miaomiao Zhu
Keyword(s):  
Weak Solution ◽  
Harmonic Map ◽  
Global Weak Solution ◽  
Harmonic Map Flow

Infinite time blow-up for half-harmonic map flow from R into S1

2021 ◽  
Vol 143 (4) ◽  
pp. 1261-1335
Author(s):  
Yannick Sire ◽  
Juncheng Wei ◽  
Youquan Zheng
Keyword(s):  
Blow Up ◽  
Harmonic Map ◽  
Infinite Time ◽  
Harmonic Map Flow

scholarly journals Uniqueness and nonuniqueness of limits of Teichmüller harmonic map flow

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
James Kohout ◽  
Melanie Rupflin ◽  
Peter M. Topping
Keyword(s):  
Constant Curvature ◽  
Harmonic Map ◽  
Gradient Flow ◽  
Minimal Immersion ◽  
Curvature Surface ◽  
Previous Theory ◽  
Target Manifold ◽  
Harmonic Map Flow

AbstractThe harmonic map energy of a map from a closed, constant-curvature surface to a closed target manifold can be seen as a functional on the space of maps and domain metrics. We consider the gradient flow for this energy. In the absence of singularities, previous theory established that the flow converges to a branched minimal immersion, but only at a sequence of times converging to infinity, and only after pulling back by a sequence of diffeomorphisms. In this paper, we investigate whether it is necessary to pull back by these diffeomorphisms, and whether the convergence is uniform as {t\to\infty}.

scholarly journals Moving mesh for the axisymmetric harmonic map flow

2005 ◽  
Vol 39 (4) ◽  
pp. 781-796
Author(s):  
Benoit Merlet ◽  
Morgan Pierre
Keyword(s):  
Harmonic Map ◽  
Moving Mesh ◽  
Harmonic Map Flow

scholarly journals Asymptotics of the Teichmüller harmonic map flow

2013 ◽  
Vol 244 ◽  
pp. 874-893 ◽  
Author(s):  
Melanie Rupflin ◽  
Peter M. Topping ◽  
Miaomiao Zhu
Keyword(s):  
Harmonic Map ◽  
Harmonic Map Flow

scholarly journals Existence and stability of fourth-order nonlinear plate problem

2019 ◽  
Vol 6 (1) ◽  
pp. 81-98
Author(s):  
Salim A. Messaoudi ◽  
Soh Edwin Mukiawa
Keyword(s):  
Weak Solution ◽  
Fourth Order ◽  
Stability Result ◽  
Suspension Bridge ◽  
Global Weak Solution ◽  
Restoring Force ◽  
Nonlinear Plate ◽  
Frictional Damping ◽  
Existence And Stability

AbstractIn this paper, we study a fourth-order plate problem as a model for a suspension bridge in the presence of a nonlinear frictional damping and a hanger restoring force. We establish the existence of a global weak solution and prove a stability result.

Sign in / Sign up

Export Citation Format

Share Document