Results 91 to 100 of about 3,171,507 (251)

2D Voigt Boussinesq Equations

Journal of Mathematical Fluid Mechanics
We consider a critical conservative Voigt regularization of the 2D incompressible Boussinesq system on the torus. We prove the existence and uniqueness of global smooth solutions and their convergence in the smooth regime to the Boussinesq solution when the regularizations are removed. We also consider a range of mixed (subcritical-supercritical) Voigt
openaire   +3 more sources

Persistent Ocean‐Shelf Transport Across the North West European Shelf Edge

Journal of Geophysical Research: Oceans, Volume 131, Issue 2, February 2026.
Abstract Transport mechanisms between the deep ocean and adjacent continental shelf seas play an important role in the spatial distribution of nutrient delivery to the coastal ocean and in the temporal variability of shelf biogeochemical processes. Along the North West European Shelf (NWES) edge, nutrient‐rich waters of oceanic origin are found below ...
André Palóczy, Joanne Hopkins, Anthony Wise, John Huthnance   +3 more
wiley   +1 more source

From recursion operators to Hamiltonian structures. The factorization method [PDF]

, 2002
We describe a simple algorithmic method of constructing Hamiltonian structures for nonlinear PDE. Our approach is based on the geometrical theory of nonlinear differential equations and is in a sense inverse to the well-known Magri scheme.
Kersten, P.H.M., Krasil'shchik, I.
core   +1 more source

An integrable multicomponent quad equation and its Lagrangian formulation

, 2012
We present a hierarchy of discrete systems whose first members are the lattice modified Korteweg-de Vries equation, and the lattice modified Boussinesq equation. The N-th member in the hierarchy is an N-component system defined on an elementary plaquette
A. I. Bobenko, D.-J. Zhang, F. W. Nijhoff, F. W. Nijhoff, F. W. Nijhoff, F. W. Nijhoff, F. W. Nijhoff, G. R. W. Quispel, I. M. Gel’fand, J. Atkinson, J. Atkinson, J. Atkinson, J. Hietarinta, L. Bianchi, L. Lewin, P. J. McCarthy, P. Xenitidis, P. Xenitidis, R. Hirota, R. Hirota, S. B. Lobb, S. B. Lobb, S. B. Lobb, S. B. Lobb, S. Yoo-Kong, V. E. Adler, Yu. I. Manin   +26 more
core   +1 more source

The Impact of Orogenic Inheritance on Rifted Margin Formation

Tectonics, Volume 45, Issue 2, February 2026.
Abstract Many rifted margins form within pre‐existing orogenic belts, emphasizing the significance of structural, thermal, and compositional inheritance in shaping rift dynamics. However, a key unresolved question is how these different types of orogenic inheritance individually influence rift evolution.
Kai Li, Sascha Brune, Zoltán Erdős, Michaël Pons, Anne Glerum   +4 more
wiley   +1 more source

New analytical wave structures for the (3 + 1)-dimensional Kadomtsev-Petviashvili and the generalized Boussinesq models and their applications

Results in Physics, 2019
Different types of soliton wave solutions for the (3 + 1)-dimensional Kadomtsev-Petviashvili and the generalized Boussinesq equations are investigated via the solitary wave ansatz method.
D. Lu, K.U. Tariq, M.S. Osman, D. Baleanu, M. Younis, M.M.A. Khater   +5 more
doaj   +1 more source

Optimal Transport, Convection, Magnetic Relaxation and Generalized Boussinesq equations

, 2008
We establish a connection between Optimal Transport Theory and classical Convection Theory for geophysical flows. Our starting point is the model designed few years ago by Angenent, Haker and Tannenbaum to solve some Optimal Transport problems.
C. Doering, C. Marchioro, C. Villani, D. Chae, E. Keller, F. Chalub, F.P. Incropere, G. Loeper, H. Moffatt, H.K. Moffatt, J. Nieto, J. Pedlosky, J.-D. Benamou, L. Ambrosio, L. Caffarelli, M. Cullen, M. Cullen, M. Schonbek, P.-L. Lions, R. Di Perna, R. McCann, S. Angenent, S. Haker, T. Hou, T. Nishiyama, U. Frisch, V. Arnold, V.A. Vladimirov, W. Jäger, X. Wang, Y. Brenier, Yann Brenier   +31 more
core   +2 more sources

Modeling Interactions and Dynamic Saturation Processes in Karst Media

Water Resources Research, Volume 62, Issue 2, February 2026.
Abstract The simulation of karst aquifers is highly challenging due to complex conduit‐matrix interactions. This study utilizes KarstFOAM, a high‐fidelity, physics‐based numerical model, to address these challenges. KarstFOAM integrates (a) a unified single‐domain Forchheimer–Darcy–Brinkman–Stokes (FDBS) formulation that transitions naturally across ...
F. Huang, Y. Gao, L. Zhao, D. Wang, X. Hu, X. Wang   +5 more
wiley   +1 more source

Boussinesq-Like Equations: A Class of Soliton Solutions Occurs in Coastal and Ocean Engineering

Journal of Mathematics
The Boussinesq equation describes water with small amplitudes and long waves, which is one of the most famous nonlinear evolution equations. Boussinesq-type equations have become crucial for predicting wave transformations in coastal areas since ...
Dilara A. Koç, Hajar F. Ismael, Hasan Bulut, Nehad Ali Shah, Shams Forruque Ahmed   +4 more
doaj   +1 more source

Approximation of surface–groundwater interaction mediated by vertical streambank in sloping terrains

Journal of Ocean Engineering and Science, 2017
New analytical solutions are derived to estimate the interaction of surface and groundwater in a stream–aquifer system. The analytical model consists of an unconfined sloping aquifer of semi-infinite extant, interacting with a stream of varying water ...
Rajeev K. Bansal
doaj   +1 more source