187 citations · 1.1k across the 80 of their papers we have counts for
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math.AP2006★ 1 cited
Existence of solutions of the hyperbolic Keller-Segel model
Benoit Perthame, Anne-Laure Dalibard
We are concerned with the hyperbolic Keller-Segel model with quorum sensing, a model describing the collective cell movement due to chemical signalling with a flux limitation for h…
math.AP2006★ 63 cited
On the Inverse Problem for a Size-Structured Population Model
Benoit Perthame, Jorge P. Zubelli
We consider a size-structured model for cell division and address the question of determining the division (birth) rate from the measured stable size distribution of the population…
math.AP2006
Energy concentration and Sommerfeld condition for Helmholtz equation with variable index at infinity
Benoit Perthame, Luis Vega
We consider the Helmholtz equation with a variable index of refraction , which is not necessarily constant at infinity but can have an angular dependency like $n(x)\to n\_\in…