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20042021
most citedThe fractional Keller-Segel model

108 citations · 419 across the 35 of their papers we have counts for

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Showing 2009Show all

5 papers · 1 filter

cond-mat.stat-mech2009

Some open questions concerning biological growth

Carlos Escudero

We briefly review the properties of radially growing interfaces and their connection to biological growth. We focus on simplified models which result from the abstraction of only c…

cond-mat.stat-mech2009

Dynamics of Generalized Hydrodynamics: Hyperbolic and Pseudohyperbolic Burgers Equations

Carlos Escudero

The equations of continuum hydrodynamics can be derived from the Boltzmann equation, which describes rarefied gas dynamics at the kinetic level, by means of the Chapman-Enskog expa…

cond-mat.stat-mech2009

Statistics of interfacial fluctuations of radially growing clusters

Carlos Escudero

The dynamics of fluctuating radially growing interfaces is approached using the formalism of stochastic growth equations on growing domains. This framework reveals a number of dyna…

cond-mat.stat-mech2009

Addendum to the Reply Comment [Phys. Rev. Lett. 102, 139602 (2009), arXiv:0811.0518] on ''Dynamic Scaling of Non-Euclidean Interfaces''

Carlos Escudero

This is an addendum to the Reply Comment [Phys. Rev. Lett. 102, 139602 (2009), arXiv:0811.0518] to Comment [Phys. Rev. Lett. 102, 139601 (2009), arXiv:0810.4791] on Letter [Phys. R…

cond-mat.stat-mech2009★ 17 cited

Stochastic growth equations on growing domains

Carlos Escudero

The dynamics of linear stochastic growth equations on growing substrates is studied. The substrate is assumed to grow in time following the power law , where the growth index…