Lagrangian controllability of inviscid incompressible fluids: a constructive approach [PDF]
ESAIM - Control, Optimisation and Calculus of Variations, 2017 We present here a constructive method of Lagrangian approximate controllability for the Euler equation. We emphasize on different options that could be used for numerical recipes: either, in the case of a bi-dimensionnal fluid, the use of formal computations in the framework of explicit Runge approximations of holomorphic functions by rational ...
Otared Kavian
exaly +3 more sources
The inviscid limit for density-dependent incompressible fluids [PDF]
Annales De La Faculté Des Sciences De Toulouse, 2006 This paper is devoted to the study of smooth flows of density-dependent fluids in ℝ N or in the torus
Raphaël Danchin
exaly +3 more sources
Inviscid incompressible limit for compressible micro-polar fluids [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2022 In this paper we study the incompressible inviscid limit for a compressible micro-polar model. We prove that the weak solution of the compressible micro-polar system converges to the solution of the Navier-Stokes equations (Euler equations) in the limit of small Mach number (and vanishing viscosity).
exaly +4 more sources
Conservation of Geometric Structures for Non-Homogeneous Inviscid Incompressible Fluids [PDF]
Communications in Partial Differential Equations, 2012 We obtain a result about propagation of geometric properties for solutions of the non-homogeneous incompressible Euler system in any dimension $N\geq2$. In particular, we investigate conservation of striated and conormal regularity, which is a natural way of generalizing the 2-D structure of vortex patches.
Francesco Fanelli
exaly +5 more sources
Lagrangian formulations to solve free surface incompressible inviscid fluid flows [PDF]
Computer Methods in Applied Mechanics and Engineering, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mario Alberto Storti, Eugenio Oñate
exaly +3 more sources
The inviscid limit for two-dimensional incompressible fluids with unbounded vorticity [PDF]
Mathematical Research Letters, 2004 Chemin has shown that solutions of the Navier-Stokes equations in the plane for an incompressible fluid whose initial vorticity is bounded and lies in L^2 converge in the zero-viscosity limit in the L^2-norm to a solution of the Euler equations, convergence being uniform over any finite time interval.
exaly +4 more sources
Correspondence between de Saint-Venant and Boussinesq 5: Viscosity and hydraulic resistance
Comptes Rendus. Mécanique, 2021 Fluid viscosity is a main feature of fluids; an inviscid fluid does not exist even though a large number of theories has been advanced for flows of such fluids. The velocity of fluid flow may considerably be reduced due to the presence of fluid viscosity
Hager, Willi H. +2 more
doaj +1 more source
Intermittency of Velocity Circulation in Quantum Turbulence
Physical Review X, 2021 The velocity circulation, a measure of the rotation of a fluid within a closed path, is a fundamental observable in classical and quantum flows. It is indeed a Lagrangian invariant in inviscid classical fluids. In quantum flows, circulation is quantized,
Nicolás P. Müller +2 more
doaj +1 more source
The Poincare Recurrence Problem of Inviscid Incompressible Fluids [PDF]
Asian Journal of Mathematics, 2009 Nadirashvili presented a beautiful example showing that the Poincaré recurrence does not occur near a particular solution to the 2D Euler equation of inviscid incompressible fluids. Unfortunately, Nadirashvili's setup of the phase space is not appropriate, and details of the proof are missing. This note fixes that.
openaire +3 more sources
An optimal control formulation for inviscid incompressible ideal fluid flow [PDF]
Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187), 2002 6 pages, no figures.
Anthony M. Bloch +3 more
openaire +3 more sources