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math.AP2016★ 21 cited
Large Time Decay Estimates for the Muskat Equation
Neel Patel, Robert M. Strain
We prove time decay of solutions to the Muskat equation in 2D and in 3D. In \cite{JEMS} and \cite{CCGRPS}, the authors introduce the norms $\|f\|_{s}(t)= \int_{\mathbb{R}^{2}} |ξ|^…
math.AP2016
Three New Results on Continuation Criteria for the 3D Relativistic Vlasov-Maxwell System
Neel Patel
In this paper, we consider sufficient conditions, called continuation criteria, for global existence and uniqueness of classical solutions to the three-dimensional relativistic Vla…