Hydrodynamic Limit of Coagulation-Fragmentation Type Models of k-Nary Interacting Particles
Abstract Hydrodynamic limit of general k-nary mass exchange processes with discrete mass distribution is described by a system of kinetic equations that generalize classical Smoluchovski's coagulation equations and many other models that are intensively studied in the current mathematical and p...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Kolokoltsov, Vassili N. [verfasserIn] |
|---|
| Format: |
Artikel |
|---|---|
| Sprache: |
Englisch |
| Erschienen: |
2004 |
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| Anmerkung: |
© Plenum Publishing Corporation 2004 |
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| Übergeordnetes Werk: |
Enthalten in: Journal of statistical physics - Kluwer Academic Publishers-Plenum Publishers, 1969, 115(2004), 5-6 vom: Juni, Seite 1621-1653 |
|---|---|
| Übergeordnetes Werk: |
volume:115 ; year:2004 ; number:5-6 ; month:06 ; pages:1621-1653 |
| Links: |
|---|
| DOI / URN: |
10.1023/B:JOSS.0000028071.96950.12 |
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| 520 | |a Abstract Hydrodynamic limit of general k-nary mass exchange processes with discrete mass distribution is described by a system of kinetic equations that generalize classical Smoluchovski's coagulation equations and many other models that are intensively studied in the current mathematical and physical literature. Existence and uniqueness theorems for these equations are proved. At last, for k-nary mass exchange processes with k>2 an alternative nondeterministic measure-valued limit (diffusion approximation) is discussed. | ||
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Hydrodynamic Limit of Coagulation-Fragmentation Type Models of k-Nary Interacting Particles |
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Abstract Hydrodynamic limit of general k-nary mass exchange processes with discrete mass distribution is described by a system of kinetic equations that generalize classical Smoluchovski's coagulation equations and many other models that are intensively studied in the current mathematical and physical literature. Existence and uniqueness theorems for these equations are proved. At last, for k-nary mass exchange processes with k>2 an alternative nondeterministic measure-valued limit (diffusion approximation) is discussed. © Plenum Publishing Corporation 2004 |
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Abstract Hydrodynamic limit of general k-nary mass exchange processes with discrete mass distribution is described by a system of kinetic equations that generalize classical Smoluchovski's coagulation equations and many other models that are intensively studied in the current mathematical and physical literature. Existence and uniqueness theorems for these equations are proved. At last, for k-nary mass exchange processes with k>2 an alternative nondeterministic measure-valued limit (diffusion approximation) is discussed. © Plenum Publishing Corporation 2004 |
| abstract_unstemmed |
Abstract Hydrodynamic limit of general k-nary mass exchange processes with discrete mass distribution is described by a system of kinetic equations that generalize classical Smoluchovski's coagulation equations and many other models that are intensively studied in the current mathematical and physical literature. Existence and uniqueness theorems for these equations are proved. At last, for k-nary mass exchange processes with k>2 an alternative nondeterministic measure-valued limit (diffusion approximation) is discussed. © Plenum Publishing Corporation 2004 |
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Hydrodynamic Limit of Coagulation-Fragmentation Type Models of k-Nary Interacting Particles |
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