Results 61 to 70 of about 598,955 (165)
A Test Function Method for Weakly Coupled Systems With Derivative‐Type Nonlinearity
Mathematische Nachrichten, Volume 299, Issue 10, Page 3015-3035, October 2026.ABSTRACT We consider a two by two system of inequalities which include fractional powers of the Laplace operator, coupled through a semilinear term of derivative type. We prove the nonexistence of global‐in‐time weak solutions for powers below the critical curve and possibly on the critical curve.
Marcello D'Abbicco, Antonio Lagioia
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AIP Advances, 2019 The purpose of this paper is to simulate a two-dimensional Rayleigh-Taylor instability problem using the diffuse-interface formulation of the incompressible Navier-Stokes equations. The governing equations consist of a system of coupled nonlinear partial
Saher Akmal Khan, Abdullah Shah
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On nonisothermal two‐fluid channel flows
Mathematical Modelling and Analysis, 2007 Two‐fluid channel flows arise in different kinds of coating technologies. The corresponding mathematical models represent two‐dimensional free boundary value problems for the Navier‐Stokes equations or their modifications.
Jajanek Sokolowsky
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Wind Energy, Volume 29, Issue 10, October 2026.ABSTRACT Sørlige Nordsjø II (SNII) is a planned large‐scale offshore wind farm in the Southern Norwegian North Sea near the Danish border, with phased development targeting a total installed capacity of up to 3 GW. For projects of this scale, site assessments are typically performed using computationally efficient analytical models.
Mostafa Bakhoday Paskyabi, Xu Ning
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Rational derivation of the Boussinesq approximation
, 2019 This note derives the Boussinesq approximation in a manner consistent with the conservation law of mass. It is shown that the governing equations of a fluid under the approximation can be obtained on the basis of the assumption that the fluid is ...
MARUYAMA, Kiyoshi
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Boussinesq/Boussinesq systems for internal waves with a free surface, and the KdV approximation [PDF]
, 2011 We study here some asymptotic models for the propagation of internal and surface waves in a two-fluid system. We focus on the so-called long wave regime for one-dimensional waves, and consider the case of a flat bottom. Following the method presented in [
Duchêne, Vincent, Vincent Duchêne
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MATEC Web of Conferences, 2016 Flows of a viscous incompressible liquid with a thermocapillary boundary are investigated numerically on the basis of the mathematical model that consists of the Oberbeck-Boussinesq approximation of the Navier-Stokes equations, kinematic and dynamic ...
Goncharova Olga +2 more
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East European Journal of Physics, 2020 In this paper, we investigated a new large-scale instability that arises in an obliquely rotating convective electrically conducting fluid in an external uniform magnetic field with a small-scale external force with zero helicity.
Michael I. Kopp +3 more
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Journal of Geophysical Research: Oceans, Volume 131, Issue 10, October 2026.Abstract Dense water formation in the Southern Ocean plays a key role in the global ocean overturning circulation, affecting the distribution of heat, carbon, oxygen, and nutrients. Fast ice stays immobile while blocking sea ice flow, favoring the opening of coastal polynyas, where intense air‐sea exchanges drive sea ice production and ocean ...
N. Pirlet +4 more
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Depth‐Resolved Surfzone Wave and Roller Transformation
Journal of Geophysical Research: Oceans, Volume 131, Issue 10, October 2026.Abstract The vertical structures of cross‐shore wave, roller, and other momentum forcing terms are examined using a two‐phase Reynolds‐averaged Navier‐Stokes model driven with field and laboratory measured waves and bathymetry. Modeled wave height, setup, and undertow agree well with field observations along a cross‐shore transect extending from the ...
Jinshi Chen +2 more
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