arXiv subjects

Bingheng Yang

Publications and source records attributed to Bingheng Yang.

3 recordsLinked to original sources

arXiv2026

Local Well-Posedness of the Inviscid Shallow Water Equations with Surface Tension

We show that the inviscid shallow water equations with gravity and surface tension are locally well-posed in dimensions one and two. In contrast to previous works by Benzoni-Gavage, Danchin, and Descombes, we work only in the real-valued phase space and make use of the symmetry of the system. Our alternative proof for local well-posedness sheds some light on the symmetric structure of the shallow water system and can be used for further study, including designing numerical scheme, dispersion estimate, etc.

math.AP↗

arXiv2025

Quantum Dynamical Bounds for Quasi-Periodic Operators with Liouville Frequencies

We establish quantum dynamical upper bounds for quasi-periodic Schrödinger operators with Liouville frequencies. Our approach combines semi-algebraic discrepancy estimates for the Kronecker sequence $\{nα\}$ with quantitative Green's function estimates adapted to the Liouville setting.

math-ph↗

arXiv2021

A mathematical investigation on the distance-preserving property of an equidistant cylindrical projection

This research work aims to explore the distortions in distance in equidistant cylindrical projection. The horizontal bending that occurs in the projection process can be assessed by performing a geometric analysis using Tissot's indicatrices. In addition, the concept of the spherical coordinates, alongside with trigonometrical identities, can be used to illustrate the route from a point to another as a curve. With a combination of the knowledge extracted from the examination of the projection using those two theories, this research aims to fully unravel the degree of distortion in distance in equidistant cylindrical projections.

math.GM↗