421 citations
- Université Paris CitéFR88 papers
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- Centre de Mathématiques Laurent SchwartzFR10 papers
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- Université Paris-SudFR9 papers
- Laboratoire de Mathématiques Blaise PascalFR8 papers
- Délégation Paris 7FR7 papers
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4 papers · 2 filters
Self-similar asymptotics of solutions to the Navier-Stokes system in two dimensional exterior domain
Dragoş Iftimie, Grzegorz Karch, Christophe Lacave
We consider the 2D incompressible Navier-Stokes equations with Dirichlet boundary condition in the exterior of one obstacle. Assuming that the circulation at infinity of the veloci…
Inverse Boundary Problems for Systems in Two Dimensions
Pierre Albin, Colin Guillarmou, Leo Tzou +1
We prove identification of coefficients up to gauge by Cauchy data at the boundary for elliptic systems on oriented compact surfaces with boundary or domains of . In th…
Nonlinear quasimodes near elliptic periodic geodesics
Pierre Albin, Hans Christianson, Jeremy L. Marzuola +1
We consider the nonlinear Schrödinger equation on a compact manifold near an elliptic periodic geodesic. Using a geometric optics construction, we construct quasimodes to a nonline…
Two Dimensional Incompressible Ideal Flow Around a Small Curve
Christophe Lacave
We study the asymptotic behavior of solutions of the two dimensional incompressible Euler equations in the exterior of a curve when the curve shrinks to a point. This work links tw…