We consider a stochastic partial differential equation with reflection at 0 and with the constraint of conservation of the space average. The equation is driven by the derivative in space of a ...

We consider the parabolic stochastic partial differential equation u(t,x)=Φ (x)+∫0 tLu(s,x)+f(s,x,u(s,x),Du(s,x)) ds+∫0 tgi(s,x,u(s,x),Du(s,x)) dBs i, where f and g are supposed to be Lipschitzian and ...

The stochastic Cahn–Hilliard equation is a pivotal tool in modelling phase separation and pattern formation in complex systems such as binary mixtures and alloys. By introducing stochastic ...

Partial differential equations (PDEs) lie at the heart of many different fields of Mathematics and Physics: Complex Analysis, Minimal Surfaces, Kähler and Einstein Geometry, Geometric Flows, ...

Calculation: A representation of a network of electromagnetic waveguides (left) being used to solve Dirichlet boundary value problems. The coloured diagrams at right represent the normalized ...