The Effective Dynamics of the Volume Preserving Mean Curvature Flow
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Statistical Physics"
DOI: 10.1007/s10955-018-2041-x
Abstract: We consider the dynamics of small closed submanifolds (‘bubbles’) under the volume preserving mean curvature flow. We construct a map from ($$\text {n}+1$$n+1)-dimensional Euclidean space into a given ($$\text {n}+1$$n+1)-dimensional Riemannian manifold which characterizes the… read more here.
Keywords: mean curvature; preserving mean; volume preserving; effective dynamics ... See more keywords
Learning effective dynamics from data-driven stochastic systems.
Sign Up to like & getrecommendations! Published in 2023 at "Chaos"
DOI: 10.1063/5.0126667
Abstract: Multiscale stochastic dynamical systems have been widely adopted to a variety of scientific and engineering problems due to their capability of depicting complex phenomena in many real-world applications. This work is devoted to investigating the… read more here.
Keywords: stochastic systems; dynamics data; learning effective; driven stochastic ... See more keywords
Kepler problem and chiral effective dynamics.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review. E"
DOI: 10.1103/physreve.106.064207
Abstract: It is shown that by an appropriate canonical transformation, Kepler dynamics can be put in the form which allows one to exhibit the structure of the symmetry transformations related to the superintegrability. They appear to… read more here.
Keywords: problem chiral; kepler problem; chiral effective; kepler ... See more keywords