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SIAMAM
2008
101views more  SIAMAM 2008»
15 years 6 months ago
Competitive Exclusion of Microbial Species for a Single Nutrient with Internal Storage
We study a chemostat model that describes competition between n microbial species for a single-limited resource based on storage. The model incorporates internal resource storage v...
Sze-Bi Hsu, Ting-Hao Hsu
SIAMAM
2008
91views more  SIAMAM 2008»
15 years 6 months ago
A Fluid Dynamic Model for Telecommunication Networks with Sources and Destinations
This paper proposes a macroscopic fluid dynamic model dealing with the flows of information on a telecommunication network with sources and destinations. The model consists of a co...
Ciro D'Apice, Rosanna Manzo, Benedetto Piccoli
SIAMAM
2008
69views more  SIAMAM 2008»
15 years 6 months ago
Traveling Waves and Shocks in a Viscoelastic Generalization of Burgers' Equation
We consider traveling wave phenomena for a viscoelastic generalization of Burgers' equation. For asymptotically constant velocity profiles we find three classes of solutions c...
Victor Camacho, Robert D. Guy, Jon Jacobsen
SIAMAM
2008
121views more  SIAMAM 2008»
15 years 6 months ago
A Level Set Approach to Anisotropic Surface Evolution with Free Adatoms
We variationally derive a thermodynamically consistent model for surface evolution under the influence of free adatoms. The resulting system of nonlinear partial differential equat...
Christina Stöcker, Axel Voigt
SIAMAM
2008
93views more  SIAMAM 2008»
15 years 6 months ago
Mutually Exclusive Spiky Pattern and Segmentation Modeled by the Five-Component Meinhardt--Gierer System
We consider the five-component Meinhardt-Gierer model for mutually exclusive patterns and segmentation which was proposed in [11]. We prove rigorous results on the existence and st...
Juncheng Wei, Matthias Winter