A new functional for the Calculus of Variations, involving the variational mean curvature of sets in $$R^n$$Rn
Sign Up to like & getrecommendations! Published in 2018 at "manuscripta mathematica"
DOI: 10.1007/s00229-017-0985-9
Abstract: We study the pth power $$W_p(E)=\int _{{\mathbb R}^n}|H_E|^p\,dx$$Wp(E)=∫Rn|HE|pdx, where $$H_E$$HE is the variational mean curvature of E, as defined in Barozzi (Rend Mat Acc Linceis 9(5):149–159, 1994) (see also in Proc Am Math Soc 99:313–316,… read more here.
Keywords: variational mean; mean curvature; functional calculus; new functional ... See more keywords
Variational mean-fluctuation splitting and drift-fluid models
Sign Up to like & getrecommendations! Published in 2020 at "Plasma Physics and Controlled Fusion"
DOI: 10.1088/1361-6587/ab7c4d
Abstract: After reviewing the variational approach to splitting mean flow and fluctuation kinetics in the standard Vlasov theory, the same method is applied to the drift-kinetic equation from Littlejohn's theory of guiding-center motion. This process sheds… read more here.
Keywords: fluctuation; variational mean; fluid models; drift fluid ... See more keywords