We consider the Euler-Korteweg system with space periodic boundary conditions x is an element of T-d. We prove a local in time existence result of classical solutions for irrotational velocity fields requiring natural minimal regularity assumptions on the initial data.
Local Well Posedness of the Euler-Korteweg Equations on T-d / Berti, M; Maspero, A; Murgante, F. - In: JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS. - ISSN 1040-7294. - 33:3(2021), pp. 1475-1513. [10.1007/s10884-020-09927-3]
Local Well Posedness of the Euler-Korteweg Equations on T-d
Berti, M;Maspero, A
;Murgante, F
2021-01-01
Abstract
We consider the Euler-Korteweg system with space periodic boundary conditions x is an element of T-d. We prove a local in time existence result of classical solutions for irrotational velocity fields requiring natural minimal regularity assumptions on the initial data.File in questo prodotto:
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