Zobrazeno 1 - 10
of 361
pro vyhledávání: '"Ortenzi, G"'
By means of the Hamiltonian approach to two-dimensional wave motions in heterogeneous fluids proposed by Benjamin, we derive a natural Hamiltonian structure for ideal fluids, density stratified in four homogenous layers, constrained in a channel of f
Externí odkaz:
http://arxiv.org/abs/2411.15171
Autor:
Konopelchenko, B. G., Ortenzi, G.
Hodograph equations for the n-dimensional Euler equations with the constant pressure and external force linear in velocity are presented. They provide us with solutions of the Euler in implicit form and information on existence or absence of gradient
Externí odkaz:
http://arxiv.org/abs/2405.10646
A Hamiltonian reduction approach is defined, studied, and finally used to derive asymptotic models of internal wave propagation in density stratified fluids in two-dimensional domains. Beginning with the general Hamiltonian formalism of Benjamin [1]
Externí odkaz:
http://arxiv.org/abs/2306.09154
We study the (1+1) focussing nonlinear Schr\"{o}dinger equation for an initial condition with compactly-supported parabolic profile and phase depending quadratically on the spatial coordinate. In the absence of dispersion, using the natural class of
Externí odkaz:
http://arxiv.org/abs/2304.08651
Autor:
Konopelchenko, B. G., Ortenzi, G.
Blowups of vorticity for the three- and two- dimensional homogeneous Euler equations are studied. Two regimes of approaching a blowup points, respectively, with variable or fixed time are analysed. It is shown that in the $n$-dimensional ($n=2,3$) ge
Externí odkaz:
http://arxiv.org/abs/2302.08318
Autor:
Konopelchenko, B. G., Ortenzi, G.
Blow-ups of derivatives and gradient catastrophes for the $n$-dimensional homogeneous Euler equation are discussed. It is shown that, in the case of generic initial data, the blow-ups exhibit a fine structure in accordance of the admissible ranks of
Externí odkaz:
http://arxiv.org/abs/2210.03939
Autor:
Konopelchenko, B.G., Ortenzi, G.
Publikováno v:
In Physica D: Nonlinear Phenomena December 2024 469
Wave front propagation with non-trivial bottom topography is studied within the formalism of hyperbolic long wave models. Evolution of non-smooth initial data is examined, and in particular the splitting of singular points and their short time behavi
Externí odkaz:
http://arxiv.org/abs/2201.01619
Autor:
Konopelchenko, B. G., Ortenzi, G.
The paper is devoted to the analysis of the blow-ups of derivatives, gradient catastrophes and dynamics of mappings of $\mathbb{R}^n \to \mathbb{R}^n$ associated with the $n$-dimensional homogeneous Euler equation. Several characteristic features of
Externí odkaz:
http://arxiv.org/abs/2109.07309
The theory of 3-layer density stratified ideal fluids is examined with a view towards its generalization to the n-layer case. The focus is on structural properties, especially for the case of a rigid upper lid constraint. We show that the long-wave d
Externí odkaz:
http://arxiv.org/abs/2105.12851