Kink solutions of the binormal flow

Luis Vega

Displaying similar documents to “Kink solutions of the binormal flow”

Vorticity internal transition layers for the Navier-Stokes equations

Franck Sueur (2008)

Journées Équations aux dérivées partielles

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We deal with the incompressible Navier-Stokes equations, in two and three dimensions, when some vortex patches are prescribed as initial data i.e. when there is an internal boundary across which the vorticity is discontinuous. We show -thanks to an asymptotic expansion- that there is a sharp but smooth variation of the fluid vorticity into a internal layer moving with the flow of the Euler equations; as long as this later exists and as $t < < 1 / ν$ , where $ν$ is the viscosity coefficient. ...

A note on linear perturbations of oscillatory second order differential equations

Renato Manfrin (2010)

Archivum Mathematicum

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Under suitable hypotheses on $γ (t)$ , $λ (t)$ , $q (t)$ we prove some stability results which relate the asymptotic behavior of the solutions of $u^{''} + γ (t) u^{'} + (q (t) + λ (t)) u = 0$ to the asymptotic behavior of the solutions of $u^{''} + q (t) u = 0$ .

On a theorem of Mestre and Schoof

John E. Cremona, Andrew V. Sutherland (2010)

Journal de Théorie des Nombres de Bordeaux

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A well known theorem of Mestre and Schoof implies that the order of an elliptic curve $E$ over a prime field $𝔽_{q}$ can be uniquely determined by computing the orders of a few points on $E$ and its quadratic twist, provided that $q > 229$ . We extend this result to all finite fields with $q > 49$ , and all prime fields with $q > 29$ .

Method of straight lines for a Bingham problem as a model for the flow of waxy crude oils.

Torres, Germán Ariel, Turner, Cristina (2005)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Heights of roots of polynomials with odd coefficients

J. Garza, M. I. M. Ishak, M. J. Mossinghoff, C. G. Pinner, B. Wiles (2010)

Journal de Théorie des Nombres de Bordeaux

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Let $α$ be a zero of a polynomial of degree $n$ with odd coefficients, with $α$ not a root of unity. We show that the height of $α$ satisfies $h (α) \geq \frac{0.4278}{n + 1} .$ More generally, we obtain bounds when the coefficients are all congruent to $1$ modulo $m$ for some $m \geq 2$ .

On the mean square of the divisor function in short intervals

Aleksandar Ivić (2009)

Journal de Théorie des Nombres de Bordeaux

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We provide upper bounds for the mean square integral $\int_{X}^{2 X} {(𝔻_{k} (x + h) - 𝔻_{k} (x))}^{2} d x,$ where $h = h (X) ≫ 1, h = o (x) as X \to \infty$ and $h$ lies in a suitable range. For $k \geq 2$ a fixed integer, $𝔻_{k} (x)$ is the error term in the asymptotic formula for the summatory function of the divisor function $d_{k} (n)$ , generated by $ζ^{k} (s)$ .