Výsledky vyhledávání

Report

Convergence of a particle method for diffusive gradient flows in one dimension

Autor: Carrillo, J. A., Patacchini, F. S., Sternberg, P., Wolansky, G.

We prove the convergence of a particle method for the approximation of diffusive gradient flows in one dimension. This method relies on the discretisation of the energy via non-overlapping balls centred at the particles and preserves the gradient flo

Externí odkaz: http://arxiv.org/abs/1605.08086

Zobrazit plný text záznamu

Report

Numerical Study of a Particle Method for Gradient Flows

Autor: Carrillo, J. A., Huang, Y., Patacchini, F. S., Wolansky, G.

We study the numerical behaviour of a particle method for gradient flows involving linear and nonlinear diffusion. This method relies on the discretisation of the energy via non-overlapping balls centred at the particles. The resulting scheme preserv

Externí odkaz: http://arxiv.org/abs/1512.03029

Zobrazit plný text záznamu

Report

Extended least action principle for steady flows under a prescribed flux

Autor: Wolansky, G.

The extended principle of minimal action is described in the presence of prescribed source and sink points. Under the assumption of zero net flux, it leads to an optimal Monge-Kantorovich transport problem of metric type. We concentrate on action cor

Externí odkaz: http://arxiv.org/abs/math/0507241

Zobrazit plný text záznamu

Report

On the mobility and efficiency of mechanical systems

Autor: Wolansky, G.

The definition of a mobilized system and its efficiency are introduced. The existence of an optimal (maximally efficient) system is proved by an application of Young measures and compensated compactness.
Comment: 11 pages

Externí odkaz: http://arxiv.org/abs/nlin/0506042

Zobrazit plný text záznamu