NDLI: The concertina pattern : From micromagnetics to domain theory

Content Provider	Springer Nature Link
Author	Steiner, Jutta Otto, Felix
Copyright Year	2010
Abstract	This is a continuation of a series of papers on the concertina pattern. The concertina pattern is a ubiquitous metastable, nearly periodic magnetization pattern in elongated thin film elements. In previous papers, a reduced variational model for this pattern was rigorously derived from 3-d micromagnetics. Numerical simulations of the reduced model reproduce the concertina pattern and show that its optimal period $${\widehat{w}_{opt}}$$ is an increasing function of the applied external field $${\widehat{h}_{ext}}$$ . The latter is an explanation of the experimentally observed coarsening. Domain theory, which can be heuristically derived from the reduced model, predicts and quantifies this dependence of $${\widehat{w}_{opt}}$$ on $${\widehat{h}_{ext}}$$ . In this paper, we rigorously extract these heuristic observations of domain theory directly from the reduced model. The main ingredient of the analysis is a new type of estimate on solutions of a perturbed Burgers equation.
Ending Page	181
Page Count	43
Starting Page	139
File Format	PDF
ISSN	09442669
e-ISSN	14320835
Journal	Calculus of Variations and Partial Differential Equations
Issue Number	1-2
Volume Number	39
Language	English
Publisher	Springer-Verlag
Publisher Date	2010-02-02
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Bifurcation and buckling Calculus of Variations and Optimal Control; Optimization Systems Theory, Control Theoretical, Mathematical and Computational Physics Analysis Miscellaneous topics Problems involving partial differential equations
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Analysis

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Optimal shape of a domain which minimizes the first buckling eigenvalue

Optimization problems for weighted Sobolev constants

Optimality Conditions and the Hamiltonian for a Distributed Optimal Control Problem on Controlled Domain

Optimal control of an obstacle problem

Homogenization of integral energies under periodically oscillating differential constraints

Time Optimal Controls of the Lengyel–Epstein Model with Internal Control

On a Highly Nonlinear Self-Obstacle Optimal Control Problem

Properties of optimizers of the principal eigenvalue with indefinite weight and Robin conditions

An eigenvalue problem for a fully nonlinear elliptic equation with gradient constraint

The concertina pattern : From micromagnetics to domain theory

Similar Documents

Optimal shape of a domain which minimizes the first buckling eigenvalue

Optimization problems for weighted Sobolev constants

Optimality Conditions and the Hamiltonian for a Distributed Optimal Control Problem on Controlled Domain

Optimal control of an obstacle problem

Homogenization of integral energies under periodically oscillating differential constraints

Time Optimal Controls of the Lengyel–Epstein Model with Internal Control

On a Highly Nonlinear Self-Obstacle Optimal Control Problem

Properties of optimizers of the principal eigenvalue with indefinite weight and Robin conditions

An eigenvalue problem for a fully nonlinear elliptic equation with gradient constraint

The concertina pattern : From micromagnetics to domain theory