Local Well-Posedness and Blow-Up for the Solutions to the Axisymmetric Inviscid Hall-MHD Equations
Advances in Mathematical Physics, 2018 In this paper, we consider the regularity problem of the solutions to the axisymmetric, inviscid, and incompressible Hall-magnetohydrodynamics (Hall-MHD) equations.
Eunji Jeong, Junha Kim, Jihoon Lee
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A note on hyperbolic relaxation of the Navier-Stokes-Cahn-Hilliard system for incompressible two-phase flows [PDF]
ESAIM: Proceedings and SurveysWe consider the two-phase dynamics of two incompressible and immiscible fluids. As a mathematical model we rely on the Navier-Stokes-Cahn-Hilliard system that belongs to the class of diffuse-interface models.
Keim Jens +2 more
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Instabiity and Encapsulation of a Compound Liquid Jet
Journal of Fluid Science and Technology, 2009 We analytically examine breakup phenomena of a compound liquid jet which consists of a gas or liquid core phase and a surrounding annular phase. Applying the long wave approximations to the basic equations and the boundary conditions for inviscid and ...
Takao YOSHINAGA, Michiko MAEDA
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Higher-Order Equations of the KdV Type are Integrable
Advances in Mathematical Physics, 2010 We show that a nonlinear equation that represents third-order approximation of long wavelength, small amplitude waves of inviscid and incompressible fluids is integrable for a particular choice of its parameters, since in this case it is equivalent with ...
V. Marinakis
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Two-dimensional source potentials in a two-fluid medium for the modified Helmholtz's equation
International Journal of Mathematics and Mathematical Sciences, 1986 Velocity potentials describing the irrotational infinitesimal motion of two superposed inviscid and incompressible fluids under gravity with a horizontal plane of mean surface of separation, are derived due to a vertical line source present in either of ...
B. N. Mandal, R. N. Chakrabarti
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Exact controllability of a beam in an incompressible inviscid fluid
Discrete and Continuous Dynamical Systems, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hansen, Scott W., Lyashenko, Andrei A.
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Remarks on the minimizing geodesic problem in inviscid incompressible fluid mechanics [PDF]
Calculus of Variations and Partial Differential Equations, 2012 We consider $L^2$ minimizing geodesics along the group of volume preserving maps $SDiff(D)$ of a given 3-dimensional domain $D$. The corresponding curves describe the motion of an ideal incompressible fluid inside $D$ and are (formally) solutions of the Euler equations.
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Sub-Riemannian geometry applied to incompressible, inviscid fluids
, 2022 34 pages, 6 ...
Müller, Annette, Névir, Peter
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A Geometric Characterization of Steady Laminar Flow
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We study the steady states of the Euler equations on the periodic channel or annulus. We show that if these flows are laminar (layered by closed non‐contractible streamlines which foliate the domain), then they must be either parallel or circular flows.
Theodore D. Drivas, Marc Nualart
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On Geometric Phase Model in the Theory of Curves With Myller Configuration
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we introduce a linearly polarized light wave in an optical fiber and rotation of the polarization plane through the Frenet‐type frame with Myller configuration. Since the geometric evaluation and interpretations of a polarized light wave are associated with geometric phase, a new type of geometric phase model has been ...
Zehra İşbilir +2 more
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