Cerrai, SandraSalins, Michael2022-01-242022-01-242014S. Cerrai, M. Salins. 2014. "On the Smoluchowski-Kramers approximation for a system with infinite degrees of freedom exposed to a magnetic field." arXIv, https://arxiv.org/abs/1409.0803https://hdl.handle.net/2144/43673We study the validity of the so-called Smoluchowski-Kramers approximation for a two dimensional system of stochastic partial differential equations, subject to a constant magnetic field. As the small mass limit does not yield to the solution of the corresponding first order system, we regularize our problem by adding a small friction. We show that in this case the Smoluchowski-Kramers approximation holds. We also give a justification of the regularization, by showing that the regularized problems provide a good approximation to the original ones.p. 2642Article241549