The lifespan of 3D compressible flow
Thomas C. Sideris (1991-1992)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Displaying similar documents to “On 3D slightly compressible Euler equations.”
The lifespan of 3D compressible flow
Singular limits for the compressible Euler equation in an exterior domain
Hiroshi Isozaki (1986)
Journées équations aux dérivées partielles
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On the Kuramoto-Sivashinsky equation in a disk
Vladimir Varlamov (2000)
Annales Polonici Mathematici
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We consider the first initial-boundary value problem for the 2-D Kuramoto-Sivashinsky equation in a unit disk with homogeneous boundary conditions, periodicity conditions in the angle, and small initial data. Apart from proving the existence and uniqueness of a global in time solution, we construct it in the form of a series in a small parameter present in the initial conditions. In the stable case we also obtain the uniform in space long-time asymptotic expansion of the constructed...
The mathematical theory of low Mach number flows
Steven Schochet (2005)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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The mathematical theory of the passage from compressible to incompressible fluid flow is reviewed.
Global existence of 2D slightly compressible viscous magneto-fluid motion.
Casella, E., Secchi, P., Trebeschi, P. (2002)
Portugaliae Mathematica. Nova Série
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On the Euler equations of incompressible perfect fluids
R. Temam (1974-1975)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Long-time asymptotics for the damped Boussinesq equation in a disk.
Varlamov, Vladimir (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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On second-grade fluids with vanishing viscosity.
Busuioc, V. (2002)
Portugaliae Mathematica. Nova Série
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On Cauchy-Dirichlet problem in half-space for linear integro-differential equations in weighted Hölder spaces.
Mikulevicius, R., Pragarauskas, H. (2005)
Electronic Journal of Probability [electronic only]
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An asymptotic approximation of Wallis’ sequence
Vito Lampret (2012)
Open Mathematics
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An asymptotic approximation of Wallis’ sequence W(n) = Πk=1n 4k 2/(4k 2 − 1) obtained on the base of Stirling’s factorial formula is presented. As a consequence, several accurate new estimates of Wallis’ ratios w(n) = Πk=1n(2k−1)/(2k) are given. Also, an asymptotic approximation of π in terms of Wallis’ sequence W(n) is obtained, together with several double inequalities such as, for example, with .