Generalized variational principle for long water-wave equation by He's semi-inverse method.
Global asymptotic stability of 3-species mutualism models with diffusion and delay effects.
Global minimizers for the Ginzburg-Landau functional below the first critical magnetic field
Global solutions for a problem modeling the dynamics of a system of self-gravitating Brownian particles
Results on the global existence and uniqueness of variational solutions to an elliptic-parabolic problem occurring in statistical mechanics are provided.
Gradient flows of non convex functionals in Hilbert spaces and applications
This paper addresses the Cauchy problem for the gradient flow equation in a Hilbert space
Gradient flows with metric and differentiable structures, and applications to the Wasserstein space
In this paper we summarize some of the main results of a forthcoming book on this topic, where we examine in detail the theory of curves of maximal slope in a general metric setting, following some ideas introduced in [11, 5], and study in detail the case of the Wasserstein space of probability measures. In the first part we derive new general conditions ensuring convergence of the implicit time discretization scheme to a curve of maximal slope, the uniqueness, and the error estimates. In the second...