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- W825544346 abstract "This paper is devoted to the analysis of blow-up solutions for the Davey–Stewartson system iut+Δu+|u|pu+E(|u|2)u=0,(t,x)∈[0,T)×R3 where 0<p<4. This equation appears in the description of the evolution of surface water waves. By using the profile decomposition of bounded sequences in Ḣsc∩Ḣ1, we give some new variational characteristics for the generalized Gagliardo–Nirenberg inequalities. Then, under the assumption that Ḣsc-norm of the blow-up solution is bounded, we prove that the Ḣsc-norm of the blow-up solution concentrates at some point and its Lpc-norm concentrates as well." @default.
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- W825544346 date "2015-12-01" @default.
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- W825544346 title "Concentration for blow-up solutions of the Davey–Stewartson system in <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif display=inline overflow=scroll><mml:msup><mml:mrow><mml:mi mathvariant=double-struck>R</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:math>" @default.
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- W825544346 doi "https://doi.org/10.1016/j.nonrwa.2015.06.003" @default.
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