ABSTRACT Motivated by the self-pursuit of controlled objects, we consider the exact controllability of a linear stochastic game-based control system (SGBCS, for short) generated by a linear-quadrat...

ABSTRACT We prove the existence of a large class of nonlinear sound waves, by which we mean space and time periodic oscillatory solutions of the 3 X 3 compressible Euler equations, in one space dim...

ABSTRACT Dealing with complex shell surface by finite element method, we are often limited with simple geometric mesh such as triangle and quadrangle and have to refine the meshes to meet the requi...

ABSTRACT Rendering objects invisible by cloaking them with metamaterials have made rapid progress in the past decade....

ABSTRACT This presentation will be about the numerical solution of parabolic PDEs....

ABSTRACT Filtration is an abstract and important notion that appears naturally in stochastic analysis, which models the information flow generated by underlying stochastic processes....

ABSTRACT We consider a finite-difference semi-discrete scheme for the approximation of controls of one-dimensional evolution problems of hyperbolic type....

ABSTRACT In this talk, I will majorly focus on the scalar peakon models developed in last 30 years. Most integrable peakon equations come from the negative order flow in the hierarchy....

ABSTRACT In this talk, we firstly recall Bogdanov-Takens bifurcation and degenerate Bogdanov-Takens bifurcation with codimension three....

ABSTRACT This talk concerns finite element methods for the incompressible Navier--Stokes problem....