Variational formulation of dynamical homogenization towards nonlocal effective media

Author(s):  
J.F. Ganghoffer ◽  
H. Reda
2020 ◽  
Vol 4 (1) ◽  
Author(s):  
Nurjani Nurjani

The problem of this research is motivated by the lack of students' ability in learning to write descriptions. Therefore the purpose of this research is to produce a syllabus for writing a description based on a valid, practical and effective media picture and picture. The model used in this study is the ADDIE model. The subjects in this study were students and teachers of SDN 01 Simabur. Validity data was taken from the learning syllabus validation sheet. Practicality data can be seen from the observation sheet of the implementation of the lesson plan, as well as the questionnaire of teacher and student opinions. The effectiveness data is seen from the results of students' writing learning. The results of the validity test by experts and practitioners are categorized as very valid namely 90% and 87%. The practicality of the syllabus is categorized as very practical, evidenced by observing the implementation of the RPP with a percentage of 89%, and supported by teacher and student responses of 90% and 91%. Finally, the effectiveness felt by students in writing descriptions is categorized to be very effective, which can improve students' ability to write descriptions. In short, that the development of syllabus writing description based on picture and picture media in grade IV elementary school can be declared valid, practical, and effective.


2020 ◽  
Vol 10 (1) ◽  
pp. 534-547
Author(s):  
Jifeng Chu ◽  
Joachim Escher

Abstract When the vorticity is monotone with depth, we present a variational formulation for steady periodic water waves of the equatorial flow in the f-plane approximation, and show that the governing equations for this motion can be obtained by studying variations of a suitable energy functional 𝓗 in terms of the stream function and the thermocline. We also compute the second variation of the constrained energy functional, which is related to the linear stability of steady water waves.


2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Abderrezak Kasri

Abstract The aim of this paper is to study a quasistatic contact problem between an electro-elastic viscoplastic body with damage and an electrically conductive foundation. The contact is modelled with an electrical condition, normal compliance and the associated version of Coulomb’s law of dry friction in which slip dependent friction is included. We derive a variational formulation for the model and, under a smallness assumption, we prove the existence and uniqueness of a weak solution.


Author(s):  
Niccolo Giannetti ◽  
Mark A.B. Redo ◽  
Kiyoshi Saito ◽  
Hiroaki Yoshimura

Author(s):  
James Graham-Eagle

The method to be described provides an alternative means of dealing with certain non-standard linear boundary-value problems. It is developed in several applications to the theory of gravity-capillary waves. The analysis is based on a variational formulation of the hydrodynamic problem, being motivated by and extending the original study by Benjamin and Scott [3].


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