Zobrazeno 1 - 10
of 642
pro vyhledávání: '"37K05"'
Autor:
Rizzo, Alessandra
In this paper, we study Hamiltonian operators which are sum of a first order operator and of a Poisson tensor, in two spatial independent variables. In particular, a complete classification of these operators is presented in two and three components,
Externí odkaz:
http://arxiv.org/abs/2410.22455
A thermodynamically consistent discretization of the one-dimensional Navier-Stokes-Fourier model is derived by exploiting the model's Hamiltonian and metriplectic 4-bracket structure.
Externí odkaz:
http://arxiv.org/abs/2410.11045
Nonlocal Hamiltonian operators of Ferapontov type are well-known objects that naturally arise local from Hamiltonian operators of Dubrovin-Novikov type with the help of three constructions, Dirac reduction, recursion scheme and reciprocal transformat
Externí odkaz:
http://arxiv.org/abs/2410.09669
Autor:
Wang, Jun, Yin, Zhaoyang
In this paper, we study the well-posedness theory and the scattering asymptotics for the energy-critical, Schr\"odinger equation with indefinite potential \begin{equation*} \left\{\begin{array}{l} i \partial_t u+\Delta u-V(x)u +|u|^{\frac{4}{N-2}}u=0
Externí odkaz:
http://arxiv.org/abs/2407.01588
Autor:
Ivanov, Rossen I.
Publikováno v:
Applied Mathematics Letters 142 (2023) 108653
The propagation of water waves of finite depth and flat bottom is studied in the case when the depth is not small in comparison to the wavelength. This propagation regime is complementary to the long-wave regime described by the famous KdV equation.
Externí odkaz:
http://arxiv.org/abs/2405.19344
Autor:
Fordy, Allan P
In this paper we discuss the Painlev\'e reductions of coupled KdV systems. We start by comparing the procedure with that of {\em stationary reductions}. Indeed, we see that exactly the same construction can be used at each step and parallel results o
Externí odkaz:
http://arxiv.org/abs/2405.09694
Autor:
Prykarpatskyy, Yarema
The paper investigates the Poisson structures associated with dynamical systems of the heavenly type, focusing on the Mikhalev-Pavlov and Pleba\'nski equation. The dynamical system is represented as a Hamiltonian system on a functional manifold, and
Externí odkaz:
http://arxiv.org/abs/2312.05618
The problem of Kepler dynamics on a conformable Poisson manifold is addressed. The Hamiltonian function is defined and the related Hamiltonian vector field governing the dynamics is derived, which leads to a modified Newton second law. Conformable mo
Externí odkaz:
http://arxiv.org/abs/2308.08450
Publikováno v:
Tunisian J. Math. 6 (2024) 157-188
As a sequel to our previous analysis in [9] arXiv:2202.09411 on the Gross-Pitaevskii equation on the product space $\mathbb{R} \times \mathbb{T}$, we construct a branch of finite energy travelling waves as minimizers of the Ginzburg-Landau energy at
Externí odkaz:
http://arxiv.org/abs/2307.06015
Autor:
Fordy, Allan P., Huang, Qing
In this paper we continue our analysis of the stationary flows of $M$ component, coupled KdV (cKdV) hierarchies and their modifications. We describe the general structure of the $t_1$ and $t_2$ flows, using the case $M=3$ as our main example. One of
Externí odkaz:
http://arxiv.org/abs/2307.03294