scholarly journals A geometrical method for the Smoluchowski equation on the sphere

2021 ◽  
Vol 2021 (8) ◽  
pp. 083210
Author(s):  
Adriano Valdés Gómez ◽  
Francisco J Sevilla
Keyword(s):  
Smoluchowski Equation ◽  
Geometrical Method

scholarly journals A geometrical method for consensus building in GDM with incomplete heterogeneous preference information

2021 ◽  
Vol 105 ◽  
pp. 107224
Author(s):  
Gang Kou ◽  
Yi Peng ◽  
Xiangrui Chao ◽  
Enrique Herrera-Viedma ◽  
Fawaz E. Alsaadi
Keyword(s):  
Consensus Building ◽  
Geometrical Method ◽  
Preference Information ◽  
Heterogeneous Preference

Small-noise approximations to the solution of the Smoluchowski equation

1993 ◽  
Vol 47 (2) ◽  
pp. 976-980 ◽  
Author(s):  
Moshe Gitterman ◽  
George H. Weiss
Keyword(s):  
Smoluchowski Equation ◽  
Small Noise

Analysis of the Debye-Smoluchowski equation. Approximations for high-permittivity solvents

1984 ◽  
Vol 88 (18) ◽  
pp. 4171-4176 ◽  
Author(s):  
Peter Clifford ◽  
Nicholas J. B. Green ◽  
Michael J. Pilling
Keyword(s):  
Smoluchowski Equation ◽  
High Permittivity

CHAOTIC DYNAMICS FOR MAPS IN ONE AND TWO DIMENSIONS: A GEOMETRICAL METHOD AND APPLICATIONS TO ECONOMICS

2009 ◽  
Vol 19 (10) ◽  
pp. 3283-3309 ◽  
Author(s):  
ALFREDO MEDIO ◽  
MARINA PIREDDU ◽  
FABIO ZANOLIN
Keyword(s):  
Dynamical Systems ◽  
Discrete Time ◽  
Chaotic Dynamics ◽  
Economic Models ◽  
Two Dimensions ◽  
Geometrical Method ◽  
Mathematical Ideas ◽  
Definition Of ◽  
Applications To Economics ◽  
Discrete Time Dynamical Systems

This article describes a method — called here "the method of Stretching Along the Paths" (SAP) — to prove the existence of chaotic sets in discrete-time dynamical systems. The method of SAP, although mathematically rigorous, is based on some elementary geometrical considerations and is relatively easy to apply to models arising in applications. The paper provides a description of the basic mathematical ideas behind the method, as well as three applications to economic models. Incidentally, the paper also discusses some questions concerning the definition of chaos and some problems arising from economic models in which the dynamics are defined only implicitly.

An integral of the Smoluchowski equation and its application to the prescribed diffusion approximation

1981 ◽  
Vol 75 (9) ◽  
pp. 4737-4738 ◽  
Author(s):  
J‐Y. Parlange ◽  
R. D. Braddock ◽  
D. Lockington ◽  
G. Sander
Keyword(s):  
Diffusion Approximation ◽  
Smoluchowski Equation

scholarly journals Dissipativity and Gevrey regularity of a Smoluchowski equation

2005 ◽  
Vol 54 (4) ◽  
pp. 949-970 ◽  
Author(s):  
Peter Constantin ◽  
Edriss Titi ◽  
Jesenko Vukadinovic
Keyword(s):  
Smoluchowski Equation ◽  
Gevrey Regularity
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