TITLE

Stability of stationary interfaces of binary-tree type

AUTHOR(S)
Ikota, Ryo; Yanagida, Eiji
PUB. DATE
April 2005
SOURCE
Calculus of Variations & Partial Differential Equations;Apr2005, Vol. 22 Issue 4, p375
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
We consider the curvature-driven motion of an interface on a bounded domain that contacts with the boundary at the right angle and has triple junctions with prescribed angles. We derive a linearized system at a stationary interface, and obtain a characteristic function whose zeros correspond to the eigenvalues of the linearized operator. From the characteristic function, it is shown that the unstable dimension is not relevant to the topology of the stationary interface but depends mainly on the curvature of the boundary.
ACCESSION #
16176843

 

Related Articles

  • The Effective Use of LATEX Drawing in Linear Algebra --Utilization of Graphics Drawn with KETpic. Kaneko, Masataka; Takato, Setsuo // Electronic Journal of Mathematics & Technology;Jun2011, Vol. 5 Issue 2, p129 

    The use of geometry (or graphics) to teach and learn linear algebra is an interesting theme. Several published works have studied it, and have illustrated that the use of graphics can be helpful. However, the results of our questionnaire survey (in Japan) and our survey on linear algebra...

  • FARKAS' LEMMA OF ALTERNATIVE. Jacimovic, Milojica // Teaching of Mathematics;2011, Vol. 14 Issue 2, p77 

    We will present Farkas' formulation of the theorem of alternative related to solvability of a system of linear inequalities and present one review of the proofs based on quite different ideas.

  • Controllability and observability for a class of time-varying impulsive systems on time scales. Lupulescu, Vasile; Younus, Awais // Electronic Journal of Qualitative Theory of Differential Equatio;2011, p1 

    The aim of this paper is to study the controllability and observability for a class of linear time-varying impulsive control systems on time scales. Suffcient and necessary conditions for state controllability and state observability of such systems are established. The corresponding criteria...

  • The diametral dimension of the spaces of Whitney jets on sequences of points. Goncharov, A.; Zeki, M. // Siberian Mathematical Journal;Mar2005, Vol. 46 Issue 2, p276 

    We calculate the diametral dimension of the spaces of Whitney jets on convergent sequences of points.

  • A tableau for general linear temporal logic. Reynolds, Mark Alexander // Journal of Logic & Computation;Oct2013, Vol. 23 Issue 5, p1057 

    We use mosaics to provide a simple, sound, complete and terminating tableau reasoning procedure for the temporal logic of until and since over general linear time.

  • Harmonic analysis of linear fields on the nilgeometric cosmological model. Tanimoto, Masayuki // Journal of Mathematical Physics;Dec2004, Vol. 45 Issue 12, p4896 

    To analyze linear field equations on a locally homogeneous space–time by means of separation of variables, it is necessary to set up appropriate harmonics according to its symmetry group. In this paper, the harmonics are presented for a spatially compactified Bianchi II cosmological...

  • WHEN DO THREE PLANES INTERSECT IN A POINT? Maruszewski Jr., Richard F. // Mathematics & Computer Education;Winter2010, Vol. 44 Issue 1, p6 

    The article discusses the ways three planes intersect in a point. Using linear algebra, the answer to the topic lies on linearly independent three equations, according to the authors. To attack the problem, the authors used geometric approach and techniques from Calculus III. They highlight the...

  • An Epistemological and Didactic Study of a Specific Calculus Reasoning Rule. Durand-Guerrier, Viviane; Arsac, Gilbert // Educational Studies in Mathematics;2005, Vol. 60 Issue 2, p149 

    It is widely attested that university students face considerable difficulties with reasoning in analysis, especially when dealing with statements involving two different quantifiers. We focus in this paper on a specific mistake which appears in proofs where one applies twice or more a statement...

  • right angle.  // American Heritage Student Science Dictionary;2009, p296 

    A definition for the term "right angle" is presented. It refers to an angle having a measure of 90°.

Share

Read the Article

Courtesy of VIRGINIA BEACH PUBLIC LIBRARY AND SYSTEM

Sign out of this library

Other Topics