Non dérivation des équations de Prandtl
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Displaying 1 – 9 of 9
Nonexistence of Coherent Structures in Two-dimensional Inviscid Channel Flow
H. Kalisch (2012)
Mathematical Modelling of Natural Phenomena
Two-dimensional inviscid channel flow of an incompressible fluid is considered. It is shown that if the flow is steady and features no horizontal stagnation, then the flow must necessarily be a parallel shear flow.
Non-linear Chandrasekhar-Bénard convectionin temperature-dependent variable viscosity Boussinesq-Stokes suspension fluid with variable heat source/sink
Nagasundar Kavitha, Agrahara Sanjeevmurthy Aruna, MKoppalu Shankarappa Basavaraj, Venkatesh Ramachandramurthy (2023)
Applications of Mathematics
The generalized Lorenz model for non-linear stability of Rayleigh-Bénard magneto-convection is derived in the present paper. The Boussinesq-Stokes suspension fluid in the presence of variable viscosity (temperature-dependent viscosity) and internal heat source/sink is considered in this study. The influence of various parameters like suspended particles, applied vertical magnetic field, and the temperature-dependent heat source/sink has been analyzed. It is found that the basic state of the temperature...
Nonlinear compressible vortex sheets in two space dimensions
Jean-François Coulombel, Paolo Secchi (2008)
Annales scientifiques de l'École Normale Supérieure
We consider supersonic compressible vortex sheets for the isentropic Euler equations of gas dynamics in two space dimensions. The problem is a free boundary nonlinear hyperbolic problem with two main difficulties: the free boundary is characteristic, and the so-called Lopatinskii condition holds only in a weak sense, which yields losses of derivatives. Nevertheless, we prove the local existence of such piecewise smooth solutions to the Euler equations. Since the a priori estimates for the linearized...
Nonlinear instability in an ideal fluid
Susan Friedlander, Walter Strauss, Misha Vishik (1997)
Annales de l'I.H.P. Analyse non linéaire
Nonlinear interaction of waves in a hot inhomogeneous magnetized plasma.
Khan, Tara Prasad, Das, Mahadeb, Debnath, Lokenath (1979)
International Journal of Mathematics and Mathematical Sciences
Non-parallel plane Rayleigh Benard convection in cylindrical geometry
A. Golbabai (1995)
Applicationes Mathematicae
This paper considers the effect of a perturbed wall in regard to the classical Benard convection problem in which the lower rigid surface is of the form , s=ε r, in axisymmetric cylindrical polar coordinates (r,ϕ,z). The boundary conditions at s=0 for the linear amplitude equation are found and it is shown that these conditions are different from those which apply to the nonlinear problem investigated by Brown and Stewartson [1], representing the distribution of convection cells near the center....
Non-uniqueness and linear stability of the one-dimensional flow of multiple viscoelastic fluids
Hervé Le Meur (1997)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Note on modulational instability of Boussinesq wavetrains.
Choudhury, S.Roy (1992)
International Journal of Mathematics and Mathematical Sciences
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