Web31 de mar. de 2024 · We derive a priori estimates for the compressible free-boundary Euler equations with surface tension in three spatial dimensions in the case of a liquid. These are estimates for local existence in Lagrangian coordinates when the initial velocity and initial density belong to H3, with an extra regularity condition on the moving boundary, thus … WebDOI: 10.1016/J.ANIHPC.2014.10.004 Corpus ID: 119118824; Cauchy theory for the gravity water waves system with non localized initial data @article{Alazard2013CauchyTF, …
On a Vector Modified Yajima–Oikawa Long-Wave–Short-Wave …
Web1 de jan. de 2024 · Request PDF Numerical Examples of Non-Dissipative Discontinuous Kinematic Waves in Open Channels The kinematic wave model under the assumption of balanced gravity and friction forces has been ... Web16 de jul. de 2014 · Mésognon-Gireau proved that the gravity-capillary water waves problem is well-posed on a large timescale in the presence of large variations in … bittitan authentication
Strichartz Estimates and the Cauchy Problem for the Gravity Water …
Web6 de fev. de 2024 · Abstract: The goal of this monograph is to prove that any solution of the Cauchy problem for the capillarity-gravity water waves equations, in one space dimension, with periodic, even in space, initial data of small size $\epsilon$, is almost globally defined in time on Sobolev spaces, i.e. it exists on a time interval of length of … WebCauchy synonyms, Cauchy pronunciation, Cauchy translation, English dictionary definition of Cauchy. Baron Augustin Louis 1789-1857. French mathematician whose Cours d'analyse introduced modern rigor into calculus. WebWe study the two-dimensional water waves problem with surface tension in the case when there is a nonzero contact angle between the free surface and the bottom. ... T. Alazard, N. Burq, and C. Zuily, On the Cauchy problem for water gravity waves, Invent. Math., 198 (2014), pp. 71--163. Google Scholar. 3. datavant white paper