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A constructive proof of finite time blowup of 3D incompressible Euler equations with sm...

Abstract:  Whether the 3D incompressible Euler equations can develop a finite time singularity from smooth initial data is one of the most challenging proble...

Long range order for three-dimensional random field Ising model throughout the entire l...

组织者:姜建平 Abstract: We study the Ising model on Z^3 with an externel field {\epsilon h_v} where h_v~N(0,1). We want to show that for any T lower than t...

Mathematical imaging--From geometric PDEs and variational modelling to deep learning fo...

Abstract:  Images are a rich source of beautiful mathematical formalism and analysis. Associated mathematical problems arise in functional and non-smooth ana...

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