Zobrazeno 1 - 10
of 264
pro vyhledávání: '"Ivanov, Rossen"'
Autor:
Ivanov, Rossen I.
Publikováno v:
Henry, D. (ed.) Nonlinear Dispersive Waves. Advances in Mathematical Fluid Mechanics, Birkh\"auser, Cham, 2024; pp 81-97
A single incompressible, inviscid, irrotational fluid medium bounded above by a free surface is considered. The Hamiltonian of the system is expressed in terms of the so-called Dirichlet-Neumann operators. The equations for the surface waves are pres
Externí odkaz:
http://arxiv.org/abs/2409.03091
Autor:
Ionescu-Kruse, Delia, Ivanov, Rossen
Publikováno v:
Journal of Differential Equations 368 (2023), Pages 317-349
We consider the two-dimensional water-wave problem with a general non-zero vorticity field in a fluid volume with a flat bed and a free surface. The nonlinear equations of motion for the chosen surface and volume variables are expressed with the aid
Externí odkaz:
http://arxiv.org/abs/2409.00446
Autor:
Curtin, Conor T., Ivanov, Rossen I.
Publikováno v:
J. Math. Fluid Mech. 25, (2023) art. nr. 87
The Lagrangian formulation for the irrotational wave motion is straightforward and follows from a Lagrangian functional which is the difference between the kinetic and the potential energy of the system. In the case of fluid with constant vorticity,
Externí odkaz:
http://arxiv.org/abs/2406.00202
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:
Ivanov, Rossen I.
Publikováno v:
AIP Conf. Proc. 2953, 020002 (2023)
The article surveys the recent results on integrable systems arising from quadratic pencil of Lax operator L, with values in a Hermitian symmetric space. The counterpart operator M in the Lax pair defines positive, negative and rational flows. The re
Externí odkaz:
http://arxiv.org/abs/2309.12509
Autor:
Ivanov, Rossen I.
Publikováno v:
Chaos, Solitons and Fractals, Volume 161, August 2022, 112299
We formulate and study an integrable model of Nonlinear Schr\"odinger (NLS)-type through its Lax representation, where one of the Lax operators is quadratic and the other has a rational dependence on the spectral parameter. We discuss the associated
Externí odkaz:
http://arxiv.org/abs/2301.07225
Autor:
Cullen, Joseph, Ivanov, Rossen
Publikováno v:
Communications on Pure and Applied Analysis, vol. 21 (2022) pp. 2291-2307
The interfacial internal waves are formed at the pycnocline or thermocline in the ocean and are influenced by the Coriolis force due to the Earth's rotation. A derivation of the model equations for the internal wave propagation taking into account th
Externí odkaz:
http://arxiv.org/abs/2203.13940
Publikováno v:
Physica D: Nonlinear Phenomena, Volume 433 (2022) 133190 (open access)
We study the effects of an uneven bottom on the internal wave propagation in the presence of stratification and underlying non-uniform currents. Thus, the presented models incorporate vorticity (wave-current interactions), geophysical effects (Coriol
Externí odkaz:
http://arxiv.org/abs/2203.02590
Autor:
Ivanov, Rossen I.
Publikováno v:
Eur. Phys. J. Plus 135:513 (2020)
We study the negative flows of the hierarchy of the integrable Heisenberg Ferromagnet model and their soliton solutions. The first negative flow is related to the so-called short pulse equation. We provide a framework which generates Lax pairs for th
Externí odkaz:
http://arxiv.org/abs/2201.02655
Autor:
Curtin, Conor, Ivanov, Rossen
Publikováno v:
In Wave Motion August 2024 129