# Discrete coagulation-fragmentation system with transport and diffusion

Stéphane Brull^{[1]}

- [1] ANLA, University of Toulon, avenue de l’université, 83957 La Garde, France.

Annales de la faculté des sciences de Toulouse Mathématiques (2008)

- Volume: 17, Issue: 3, page 439-460
- ISSN: 0240-2963

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topBrull, Stéphane. "Discrete coagulation-fragmentation system with transport and diffusion." Annales de la faculté des sciences de Toulouse Mathématiques 17.3 (2008): 439-460. <http://eudml.org/doc/10092>.

@article{Brull2008,

abstract = {We prove the existence of solutions to two infinite systems of equations obtained by adding a transport term to the classical discrete coagulation-fragmentation system and in a second case by adding transport and spacial diffusion. In both case, the particles have the same velocity as the fluid and in the second case the diffusion coefficients are equal. First a truncated system in size is solved and after we pass to the limit by using compactness properties.},

affiliation = {ANLA, University of Toulon, avenue de l’université, 83957 La Garde, France.},

author = {Brull, Stéphane},

journal = {Annales de la faculté des sciences de Toulouse Mathématiques},

keywords = {existence; compactness},

language = {eng},

month = {6},

number = {3},

pages = {439-460},

publisher = {Université Paul Sabatier, Toulouse},

title = {Discrete coagulation-fragmentation system with transport and diffusion},

url = {http://eudml.org/doc/10092},

volume = {17},

year = {2008},

}

TY - JOUR

AU - Brull, Stéphane

TI - Discrete coagulation-fragmentation system with transport and diffusion

JO - Annales de la faculté des sciences de Toulouse Mathématiques

DA - 2008/6//

PB - Université Paul Sabatier, Toulouse

VL - 17

IS - 3

SP - 439

EP - 460

AB - We prove the existence of solutions to two infinite systems of equations obtained by adding a transport term to the classical discrete coagulation-fragmentation system and in a second case by adding transport and spacial diffusion. In both case, the particles have the same velocity as the fluid and in the second case the diffusion coefficients are equal. First a truncated system in size is solved and after we pass to the limit by using compactness properties.

LA - eng

KW - existence; compactness

UR - http://eudml.org/doc/10092

ER -

## References

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