108 citations · 235 across the 10 of their papers we have counts for
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The fractional Keller-Segel model
Carlos Escudero
The Keller-Segel model is a system of partial differential equations modelling chemotactic aggregation in cellular systems. This model has blowing up solutions for large enough ini…
Geometrical approach to tumor growth
Carlos Escudero
Tumor growth has a number of features in common with a physical process known as molecular beam epitaxy. Both growth processes are characterized by the constraint of growth develop…
Stochastic resonance due to internal noise in reaction kinetics
Carlos Escudero
We study a reaction model that presents stochastic resonance purely due to internal noise. This means that the only source of fluctuations comes from the discrete character of the…
On one-dimensional models for hydrodynamics
Carlos Escudero
To date it has not been possible to prove whether or not the three-dimensional incompressible Euler equations develop singular behaviour in finite time. Some possible singular scen…