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math.AP2013
Regularizing Effect of the Forward Energy Cascade in the Inviscid Dyadic Model
Alexey Cheskidov, Karen Zaya
We study the inviscid dyadic model of the Euler equations and prove some regularizing properties of the nonlinear term that occur due to forward energy cascade. We show every solut…
math.AP2013
Pullback Attractors for Generalized Evolutionary Systems
Alexey Cheskidov, Landon Kavlie
We give an abstract framework for studying nonautonomous PDEs, called a generalized evolutionary system. In this setting, we define the notion of a pullback attractor. Moreover, we…