Results 111 to 120 of about 409 (140)
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Inviscid incompressible limits of strongly stratified fluids
Asymptotic Analysis, 2014We consider the motion of a compressible viscous fluid in the asymptotic regime of low Mach and high Reynolds numbers under strong stratification imposed by a conservative external force. Assuming a bi-dimensional character of the flow, we identify the limit system represented by the so-called lake equation – the Euler system supplemented by an ...
Eduard Feireisl +2 more
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Free boundary problem for a two‐layer inviscid incompressible fluid
Mathematical Methods in the Applied Sciences, 1983AbstractThe existence of a local (in time) classical solution of a free boundary problem for a two‐layer inviscid incompressible fluid is shown. The method of successive approximations and the novel approach to Lagrangian coordinates of Solonnikov are used.
Bui An Ton, L. Payne
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On the incompressible limit of inviscid compressible fluids
ANNALI DELL UNIVERSITA DI FERRARA, 2000The zero Mach number limit \(\frac{1}{\lambda}\to 0\) is studied for compressible non-stationary Euler equations in a bounded domain \(\Omega\). If no conditions are imposed on the initial velocity \(v_0 \in H^m (\Omega)\), the author proves the weak convergence \(v_{\lambda}\to\) \(v\) to a solution of incompressible Euler equations.
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Response of a compliant slab to inviscid incompressible fluid flow
The Journal of the Acoustical Society of America, 1985The dynamics of harmonic wave trains on the interface between a compliant slab and the flow of an inviscid fluid is explored theoretically. The slab is treated as an infinite, elastic or viscoelastic solid of finite thickness, bonded to a rigid half-space. The viscoelastic behavior is modeled by an isotropic Voigt constitutive model.
Cahit A. Evrensel, Arturs Kalnins
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On the motion of rigid bodies in incompressible inviscid fluids of inhomogeneous density
Journal of Fluid Mechanics, 1999The motion of a rigid body in an inviscid incompressible fluid of inhomogeneous density is considered. The size of the body is taken small with respect to the length scale of the density variations; its shape is otherwise arbitrary. The force and the torque acting on the body in an arbitrary motion are derived from Hamilton's principle of least ...
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The Euler equations of an inviscid incompressible fluid driven by a Lévy noise
Nonlinear Analysis: Real World Applications, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cyr, Justin, Tang, Sisi, Temam, Roger
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Laplace’s Integrals and Stability of the Open Flows of Inviscid Incompressible Fluid
2021In this article, we study the spectra of the boundary value problems which arise from linearizing the Euler equations of incompressible hydrodynamics near a stationary solution describing a steady flow through a given domain, in the case when the fluid enters the domain and leave it through some parts of the boundary. It’s natural to call such flows as
A. Morgulis, K. Ilin, A. Chernish
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Some solutions of the Euler system of an inviscid incompressible fluid
2022В работе изучается система двумерных уравнений Эйлера, описывающая движения невязкой несжимаемой жидкости. Она сводится к одному нелинейному уравнению с частными производными третьего порядка. Найдена группа точечных преобразований, допускаемых этим уравнением. Построены некоторые инвариантные решения и решения не связанные с инвариантностью. Найденные
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Collision of incompressible inviscid fluids effluxing from two nozzles
Calculus of Variations and Partial Differential Equations, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Du, Lili, Wang, Yongfu
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Optimal Control of a Rotor Partially Filled With an Inviscid Incompressible Fluid
Journal of Applied Mechanics, 1984Optimal control theory is used to stabilize a rotating cylinder partially filled with an inviscid, incompressible fluid. As an example, the theory is used to control a rotor consisting of two discrete masses connected by a flexible shaft. The fluid is inside one of the masses and the control force is applied to the other.
S. L. Hendricks, R. D. Klauber
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