99 citations
- Laboratoire Angevin de Recherche en MathématiquesFR3 papers
- Complexe de Recherche Interprofessionnel en AérothermochimieFR2 papers
- Université de Rouen NormandieFR2 papers
- Imperial College LondonGB1 paper
- Laboratoire de Mathématiques de Bretagne AtlantiqueFR1 paper
- Universidad de SevillaES1 paper
- University of Bari Aldo MoroIT1 paper
9 papers
K"ahler Geometry and the Navier-Stokes Equations
Ian Roulstone, Bertrand Banos, John D. Gibbon +1
We study the Navier-Stokes and Euler equations of incompressible hydrodynamics in two and three spatial dimensions and show how the constraint of incompressiblility leads to equati…
Effective construction of irreducible curve singularities
Abdallah Assi, Margherita Barile
We can associate with any irreducible curve singularity (ics) a numerical semigroup. Two ics are said to be equisingular if they have the same semigroup. Two equisingular ics have…
A flatness property for filtered D-modules
F. J. Castro-Jimenez, M. Granger
Let M be a coherent module over the ring D of linear differential operators on an analytic manifold X and let us consider k germs of transverse hypersurfaces at a point x in X. The…
Clifford Theorem for real algebraic curves
Jean-Philippe Monnier
We establish for smooth projective real curves the equivalent of the classical Clifford inequality known for complex curves. We also study the cases when equality holds.
On the formal structure of logarithmic vector fields
Michel Granger, Mathias Schulze
In this article, we prove that a free divisor in a three dimensional complex manifold must be Euler homogeneous in a strong sense if the cohomology of its complement is the hyperco…
Stability calculations for the ytterbium-doped fiber laser passively mode-locked through nonlinear polarization rotation
Mohamed Salhi, Herve Leblond, Francois Sanchez +2
We investigate theoretically a fiber laser passively mode-locked with nonlinear polarization rotation. A unidirectional ring cavity is considered with a polarizer placed between tw…