This paper is devoted to the study of the large time behaviour of viscosity solutions of parabolic equations with Neumann boundary conditions. This work is the sequel of [13] in which a probabilistic method was developed to show that the solution of a parabolic semilinear PDE behaves like a linear term λT shifted with a function v, where (v, λ) is the solution of the ergodic PDE associated to t...

Rician noise pollutes Magnetic Resonance Imaging (MRI) image and makes later work worse. In allusion to remove noise while lessen the loss of details as low as possible, this paper proposed an filter algorithm which comprehensive utilize Genetic Algorithm (GA), PDE and TV, based on 4th order Partial Differential Equations (PDE) and Total Variation (TV) theory. First, it calculates the Total Var...

In this paper we study analytical solutions of a fourth order partial differential equation subjected to different boundary conditions of solid modelling, and investigate the effects of various factors in the PDE and boundary conditions on the shape of the generated solids. With the proposed modelling technique, we can easily manipulate and modify the shape of the generated solid by altering a ...