Lin generalizes the construction of monopole Floer homology due to Kronheimer and Mrowka to the case of a
gradient flow with Morse-Bott singularities.
You can always select different tonal fabrics arranged in a
gradient flow of color if you don't have ombre fabrics.
To minimize this energy functional, its
gradient flow is used as the level set evolution equation in the proposed method.
Caption: Figure 5: Hydrodynamic
gradient flow curves under different roughness conditions.
If both layers use miscible solvents, diffusion may lead to nonuniform liquid composition along the top surface and consequently surface tension
gradient flow. This Marangoni flow ultimately may lead to dewetting of the top layer, even for cases at which the surface tension of the top layer is lower than that of the bottom layer.
All these monitoring stations together will help to compute the
gradient flow of glacier mass, surface velocity and the rate at which glacier accumulates and loses its mass.
Important open problems are stated, proposing the study of PDE metric flow in the direction of Hessian, of PDE metric dynamics in the direction of Hessian and of minus
gradient flow ODE.
Secondly, consider the case that h is a
gradient flow, i.e., there exists a smooth, real=valued function H on M such that h = - grad H.