output
19972026
most citedNetworks beyond pairwise interactions: structure and dynamics

1.6k citations

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Showing 2010 · math.APShow all

11 papers · 2 filters

math.AP2010★ 47 cited

The geometry of a vorticity model equation

Joachim Escher, Boris Kolev, Marcus Wunsch

We provide rigorous evidence of the fact that the modified Constantin-Lax-Majda equation modeling vortex and quasi-geostrophic dynamics describes the geodesic flow on the subgroup…

math.AP2010

Besov algebras on Lie groups of polynomial growth

Isabelle Gallagher, Yannick Sire

We prove an algebra property under pointwise multiplication for Besov spaces defined on Lie groups of polynomial growth. When the setting is restricted to the case of H-type groups…

math.AP2010

Mathematical and numerical analysis of a model for anti-angiogenic therapy in metastatic cancers

Sebastien Benzekry

We introduce and analyze a phenomenological model for anti-angiogenic therapy in the treatment of metastatic cancers. It is a structured transport equation with a nonlocal boundary…

math.AP2010★ 2 cited

Mathematical analysis of a two-dimensional population model of metastatic growth including angiogenesis

Sebastien Benzekry

Angiogenesis is a key process in the tumoral growth which allows the cancerous tissue to impact on its vasculature in order to improve the nutrient's supply and the metastatic proc…

math.AP2010

Asymptotic behavior of solutions of semilinear elliptic equations in unbounded domains: two approaches

Messoud Efendiev, Francois Hamel

In this paper, we study the asymptotic behavior as of solutions of semilinear elliptic equations in quarter- or half-spaces, for which the value at is given…

math.AP2010

Two-Dimensional Curved Fronts in a Periodic Shear Flow

Mohammad El Smaily, Francois Hamel, Rui Huang

This paper is devoted to the study of travelling fronts of reaction-diffusion equations with periodic advection in the whole plane . We are interested in curved fronts…