… Burgers Equation perturbed by a white noise in space and time. We prove the existence of
solutions by showing that the … theorem for the Canchy problem for Burgers equation perturbed …

… illustrate the main result of this article we limit ourself in this introductory section to a stochastic
Burgers equation with Dirichlet boundary conditions and refer to section 3 for the general …

… Using the logarithmic transformation and the stochastic … the solutions for the viscous stochastic
Burgers’ equation and inviscid stochastic Burgers’ equation before the caustic time of the …

… end of 94, we present a method to avoid a detailed knowledge of u for the boundary control
of the stochastic Burgers equation. If the control $ is explicitly determined from measurable …

… The text is structured as follows: We start in … for the case of the stochastic Burgers equation,
ie for g(u) = u. In Sect. 3 we will present the corresponding results for more general equations …

… In Section 7.2 we show that if in this definition u(t, x) is a solution of the stochastic Burgers
equation and we understand the double bracket as in (0.0.3), then the asymptotic behaviour of …

… of equations. As applications of our approach we prove that the stochastic Burgers equation
on the torus is exponentially \(L^2\)-ergodic, and that the stochastic Burgers equation on the …

… In §3 we establish a probabilistic interpretation of the solution of the Burgers equation with
a … to a stochastic particle method for which the estimate (1.4) still holds. In §4 we present the …

… measures for the stochastic Burgers equation on \({\mathbb {R}}\), forced by the derivative of
a … in law to the extremal space-time stationary solution with mean a as time goes to infinity. …

… We discuss the use of the same method to study different approximations of the same equation
and for a … We want to point out the regularizing effect of the linear stochastic part of the …