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math.AP2022★ 1 cited
Embed to rigorously and accurately homogenise quasi-periodic multi-scale heterogeneous PDEs, with computer algebra
A. J. Roberts
For microscale heterogeneous PDEs, this article further develops novel theory and methodology for their macroscale mathematical/asymptotic homogenization. This article specifically…
math.AP2012★ 1 cited
Approximation of the random inertial manifold of singularly perturbed stochastic wave equations
Yan Lv, Wei Wang, Anthony Roberts
By applying Rohlin's result on the classification of homomorphisms of Lebesgue space, the random inertial manifold of a stochastic damped nonlinear wave equations with singular per…