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This paper develops a new approach in the analysis of the Camassa-Holm equation. By introducing a new set of independent and dependent variables, the equation is transformed into a semilinear system,â€¦ (More)

- Simon N. Stacey, Patrick Sulem, +100 authors KÃ¡ri StefÃ¡nsson
- Nature Genetics
- 2011

To identify new risk variants for cutaneous basal cell carcinoma, we performed a genome-wide association study of 16 million SNPs identified through whole-genome sequencing of 457 Icelanders. Weâ€¦ (More)

In recent years two nonlinear dispersive partial differential equations have attracted much attention due to their integrable structure. We prove that both equations arise in the modeling of theâ€¦ (More)

We show that certain right-invariant metrics endow the infinite-dimensional Lie group of all smooth orientation-preserving diffeomorphisms of the circle with a Riemannian structure. The study of theâ€¦ (More)

- Alberto Bressan, Adrian Constantin
- SIAM J. Math. Analysis
- 2005

We construct a continuous semigroup of weak, dissipative solutions to a nonlinear partial differential equations modeling nematic liquid crystals. A new distance functional, determined by a problemâ€¦ (More)

- Ioan Nicolae Mates, Viorel Jinga, +4 authors Mariana Jinga
- Journal of gastrointestinal and liver diseasesâ€¦
- 2012

BACKGROUND AND AIM
Colon tumor carcinogenesis and rectal tumor carcinogenesis have each been associated with different genetic features, but data are still controversial and are insufficient toâ€¦ (More)

- Adrian Constantin, Walter A. Strauss
- J. Nonlinear Science
- 2008

obtained by Fuchssteiner and Fokas [9] by the method of recursion operators, is in dimensionless space-time variables (x, t) a model for the unidirectional propagation of shallow water waves over aâ€¦ (More)

This paper studies periodic traveling gravity waves at the free surface of water in a flow of constant vorticity over a flat bed. Using conformal mappings the free-boundary problem is transformedâ€¦ (More)

Standing on a gently sloping straight beach, it is a matter of observation that various waveforms propagate on the surface of the sea. Among these we find edge waves water waves that progress alongâ€¦ (More)

- Adrian Constantin, Walter A. Strauss
- Philosophical transactions. Series Aâ€¦
- 2007

We investigate the location of the point of maximal horizontal velocity for steady periodic water waves with vorticity.