In this paper,we consider the non-isothermal model for incompressible flow of nematic liquid crystals in three dimensions and prove the local existence and
For the PDEs with Riesz derivatives,we construct spectral methods using special basis functions based on generalized Jacobi functions which lead to diagonal
We introduce two classes of regular and singular tempered fractional Sturm-Liouville problems(TFSLPs).We prove the well-posedness of the TFSLPs and show tha
The main aim of the paper is to understand spatial and temporal variation of water cycle,heat fluxes and thermo-dynamical structure of atmospheric boundary
Defects in liquid crystals are of great practical importance and theoretical interest.Despite tremendous efforts,predicting the location and transition of d
We consider the microlocal properties of transforms arising in some radar imaging problems.We study the forward operators and image reconstruction operators
In order to simplify and meanwhile preserve the dissipative property of the original Ericksen-Leslie equation,a simplified Ericksen-Leslie equation was prop
This talk will focus on the elasticity imaging inverse problem of tumor identification in the soft tissue of the human body.A general optimization framework
This paper investigates how market liquidity and liability network propagate individual defaults to a system-wide catastrophe.We formulate the model as an o
Proteins can interact with other partners or change their conformations to show different biological functions.But it's difficult and expensive for experime