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Title: Interfacial Dynamics of Abelian Domains: Differential Geometric Methods

Abstract

The equation: ReF`(T,Z)ZF`(T,Z) = 1 for conformal maps f(t,z) is important in interfacial dynamics. We extend the results by Gustafsson on existence and uniqueness of solutions of this equation from the case when f(t,z) is a rational function of z to the case when the spatial derivative f`(t,z) is rational.

Authors:
;
Publication Date:
Research Org.:
Los Alamos National Lab., NM (United States). Applied Theoretical Physics Div.
Sponsoring Org.:
USDOE Assistant Secretary for Human Resources and Administration, Washington, DC (United States)
OSTI Identifier:
626473
Report Number(s):
LA-UR-97-4250; CONF-971167-
ON: DE98002659; TRN: 98:006923
DOE Contract Number:  
W-7405-ENG-36
Resource Type:
Conference
Resource Relation:
Conference: NOLTA `97: international symposium on nonlinear theory and its applications, Honolulu, HI (United States), 29 Nov - 3 Dec 1997; Other Information: PBD: [Nov 1997]
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING NOT INCLUDED IN OTHER CATEGORIES; 66 PHYSICS; MATHEMATICS; VISCOUS FLOW; MAPPING; TRANSFORMATIONS; INCOMPRESSIBLE FLOW; CAUCHY PROBLEM; PARTIAL DIFFERENTIAL EQUATIONS

Citation Formats

Owczarek, Robert M, and Makaruk, Hanna E. Interfacial Dynamics of Abelian Domains: Differential Geometric Methods. United States: N. p., 1997. Web.
Owczarek, Robert M, & Makaruk, Hanna E. Interfacial Dynamics of Abelian Domains: Differential Geometric Methods. United States.
Owczarek, Robert M, and Makaruk, Hanna E. Wed . "Interfacial Dynamics of Abelian Domains: Differential Geometric Methods". United States. https://www.osti.gov/servlets/purl/626473.
@article{osti_626473,
title = {Interfacial Dynamics of Abelian Domains: Differential Geometric Methods},
author = {Owczarek, Robert M and Makaruk, Hanna E},
abstractNote = {The equation: ReF`(T,Z)ZF`(T,Z) = 1 for conformal maps f(t,z) is important in interfacial dynamics. We extend the results by Gustafsson on existence and uniqueness of solutions of this equation from the case when f(t,z) is a rational function of z to the case when the spatial derivative f`(t,z) is rational.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {1997},
month = {12}
}

Conference:
Other availability
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