Academic Report No.57：Pretrained Transform-Based Tensor Representations

Academic Report No.56：Global well-posedness of 2-D incompressible anisitropic Navier-Stokes equations with variable density

Academic Report No.55：Mixing, dissipation enhancement, and their application to advective Cahn-Hilliard equation

Academic Report No.54：Nonzero-sum Dynkin Games Beyond the Order Condition: Contingent Stopping, Convertible Bonds and Concave Majorants

Liyuan Scholars Colloquium Session 175: Semiparametric Elliptical Mixture Clustering for High Dimensional Data

Liyuan Scholars Colloquium Session 174: Community detection in networks under weighted popularity-adjusted block models

Liyuan Scholars Colloquium Session 173: Local discontinuous Galerkin method for the time-fractional Oseen equations

Liyuan Scholars Colloquium Session 172: Optimal transport and some applications

Academic Report No.53：Integrating Poroelastic Finite Element Simulations and Machine Learning for Mechanical Parameter Identification of Porcine Lungs

Academic Report No.52：Tate Resolutions, divided power structures, and homotopy Lie algebras

Academic Report No.51：Quantum vertex algebras, modules, and ϕ-coordinated modules

Academic Report No.50：AI in Research, Boundless Innovation—How Large AI Models Empower the Entire Research Process

Liyuan Scholars Colloquium Session 171: Stability of viscous shock waves for Burgers equation with double singularities in viscosity and flux

Academic Report No.49：Boundedness and long-time behavior of solutions to some chemotaxis models

Academic Report No.48： Stabilization effect of magnetic field on the compressible fluids