Dissipativity and Gevrey regularity of a Smoluchowski equation

Peter Constantin; Edriss S. Titi; Jesenko Vukadinovic

doi:10.1512/iumj.2005.54.2653

Dissipativity and Gevrey regularity of a Smoluchowski equation

Peter Constantin, Edriss S. Titi, Jesenko Vukadinovic

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

Abstract

We investigate a Smoluchowski equation (a nonlinear Fokker-Planck equation on the unit sphere), which arises in modeling of colloidal suspensions. We prove the dissipativity of the equation in 2D and 3D, in certain Gevrey classes of analytic functions. Indiana University Mathematics Journal

Original language	English (US)
Pages (from-to)	949-969
Number of pages	21
Journal	Indiana University Mathematics Journal
Volume	54
Issue number	4
DOIs	https://doi.org/10.1512/iumj.2005.54.2653
State	Published - 2005
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

Dissipativity
Maier-Saupe potential
Nonlinear Fokker-Planck equations
Smoluchowski equations

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10.1512/iumj.2005.54.2653

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abstract = "We investigate a Smoluchowski equation (a nonlinear Fokker-Planck equation on the unit sphere), which arises in modeling of colloidal suspensions. We prove the dissipativity of the equation in 2D and 3D, in certain Gevrey classes of analytic functions. Indiana University Mathematics Journal",

keywords = "Dissipativity, Maier-Saupe potential, Nonlinear Fokker-Planck equations, Smoluchowski equations",

author = "Peter Constantin and Titi, {Edriss S.} and Jesenko Vukadinovic",

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AU - Titi, Edriss S.

AU - Vukadinovic, Jesenko

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AB - We investigate a Smoluchowski equation (a nonlinear Fokker-Planck equation on the unit sphere), which arises in modeling of colloidal suspensions. We prove the dissipativity of the equation in 2D and 3D, in certain Gevrey classes of analytic functions. Indiana University Mathematics Journal

KW - Dissipativity

KW - Maier-Saupe potential

KW - Nonlinear Fokker-Planck equations

KW - Smoluchowski equations

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Dissipativity and Gevrey regularity of a Smoluchowski equation

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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