Search
Search Results
-
On a novel gradient flow structure for the aggregation equation
The aggregation equation arises naturally in kinetic theory in the study of granular media, and its interpretation as a 2-Wasserstein gradient flow...
-
Exponential decay for the quintic wave equation with locally distributed dam**
We study the stabilization and the well-posedness of solutions of the quintic wave equation with locally distributed dam**. The novelty of this...
-
A horizontal Chern–Gauss–Bonnet formula on totally geodesic foliations
Under suitable conditions, we show that the Euler characteristic of a foliated Riemannian manifold can be computed only from curvature invariants...
-
Asymptotic Behavior of Solutions of the Inhomogeneous Schrödinger Equation on Noncompact Riemannian Manifolds
AbstractThe paper studies the behavior of bounded solutions of the inhomogeneous Schrödinger equation on noncompact Riemannian manifolds under a...
-
Efficient Random Walks on Riemannian Manifolds
According to a version of Donsker’s theorem, geodesic random walks on Riemannian manifolds converge to the respective Brownian motion. From a...
-
Fokas Method for the Heat Equation on Metric Graphs
The paper presents a method for constructing solutions to initial-boundary value problems for the heat equation on simple metric graphs such as a...
-
Geodesic Completeness and the Quasi-Einstein Equation for Locally Homogeneous Affine Surfaces
Let \(\mathcal {M}\) be a Type \(\mathcal {A}\) affine surface. We show that \(\mathcal {M}\) is linearly strongly projectively...
-
-
On First Integrals of Two-Dimensional Geodesic Flows
We study the first integrals polynomial and rational in momenta of the geodesic flows (including those in a magnetic field) on two-dimensional...
-
Geometric thermodynamics for the Fokker–Planck equation: stochastic thermodynamic links between information geometry and optimal transport
We propose a geometric theory of non-equilibrium thermodynamics, namely geometric thermodynamics, using our recent developments of...
-
Time Analyticity for the Heat Equation on Gradient Shrinking Ricci Solitons
On a complete non-compact gradient shrinking Ricci soliton, we prove the analyticity in time for smooth solutions of the heat equation with quadratic...
-
Discrete Geodesic Flows on Stiefel Manifolds
AbstractWe study integrable discretizations of geodesic flows of Euclidean metrics on the cotangent bundles of the Stiefel manifolds
... -
Wave-breaking phenomena for a new weakly dissipative quasilinear shallow-water waves equation
In this paper, we mainly study a new weakly dissipative quasilinear shallow-water waves equation, which can be formally derived from a model with the...