2024

ABSTRACT Micropolar fluids are among the simplest cases of fluids with microstructures, where each fluid particle has its own internal rotations....

ABSTRACT We will discuss several recent results for aggregation-diffusion equations related to partial concentration of the density of particles....

ABSTRACT A cornerstone of topological electrodynamics is the bulk-boundary (or bulk-edge) correspondence principle (BBCP): the number of topologically protected interface modes between two periodic...

ABSTRACT Partial differential equations (PDEs) are widely used to model complex physical systems, but solving them efficiently remains a significant challenge....

ABSTRACT In this talk we will study a model describing the evolution of the thickness of a grounded shallow ice sheet....

ABSTRACT We will consider the inverse problem of determining the sound speed or index or refraction of a medium by measuring the travel times of waves going through the medium....

ABSTRACT We establish the unique ergodicity of the Markov chain generated by the stochastic theta method (STM) with \theta \in [1/2, 1] for monotone SODEs and SPDEs driven by multiplicative noise....

ABSTRACT We study portfolio selection in a complete continuous-time market where the preference is dictated by the rank-dependent utility....

ABSTRACT Non-line-of-sight imaging aims at recovering obscured objects from multiple scattered light....

ABSTRACT We introduce a new parameterization strategy that can be used to design algorithms simulating geometric flows on Wasserstein manifold, the probability density space equipped with optimal t...