scholarly journals Dissipative Euler Flows for Vortex Sheet Initial Data without Distinguished Sign

2022 ◽  
Author(s):  
Francisco Mengual ◽  
László Székelyhidi
Keyword(s):  
Initial Data ◽  
Vortex Sheet ◽  
Euler Flows

scholarly journals The Limit $\alpha \to 0$ of the $\alpha$-Euler Equations in the Half-Plane with No-Slip Boundary Conditions and Vortex Sheet Initial Data

2020 ◽  
Vol 52 (5) ◽  
pp. 5257-5286
Author(s):  
Adriana V. Busuioc ◽  
Dragos Iftimie ◽  
Milton D. Lopes Filho ◽  
Helena J. Nussenzveig Lopes
Keyword(s):  
Initial Data ◽  
Boundary Conditions ◽  
Euler Equations ◽  
Half Plane ◽  
Vortex Sheet ◽  
Slip Boundary Conditions ◽  
Slip Boundary

Remarks on nonlinear elastic waves with null conditions

2020 ◽  
Vol 26 ◽  
pp. 121
Author(s):  
Dongbing Zha ◽  
Weimin Peng
Keyword(s):  
Initial Data ◽  
Global Existence ◽  
Elastic Waves ◽  
Wave Equations ◽  
Alternative Proof ◽  
Classical Solutions ◽  
Small Initial Data ◽  
Hyperelastic Materials ◽  
Variational Structure ◽  
Nonlinear Elastic

For the Cauchy problem of nonlinear elastic wave equations for 3D isotropic, homogeneous and hyperelastic materials with null conditions, global existence of classical solutions with small initial data was proved in R. Agemi (Invent. Math. 142 (2000) 225–250) and T. C. Sideris (Ann. Math. 151 (2000) 849–874) independently. In this paper, we will give some remarks and an alternative proof for it. First, we give the explicit variational structure of nonlinear elastic waves. Thus we can identify whether materials satisfy the null condition by checking the stored energy function directly. Furthermore, by some careful analyses on the nonlinear structure, we show that the Helmholtz projection, which is usually considered to be ill-suited for nonlinear analysis, can be in fact used to show the global existence result. We also improve the amount of Sobolev regularity of initial data, which seems optimal in the framework of classical solutions.

ON THE EXPERT’S RIGHT TO BE PRESENT AT LEGAL PROCEEDINGS

2016 ◽  
Vol 15 ◽  
pp. 163-171
Author(s):  
M. G. Shcherbakovskiy
Keyword(s):  
Initial Data ◽  
Legal Proceedings ◽  
Reliable Assessment ◽  
Data Acquiring ◽  
Selection Of

The article discusses the reasonsfor an expert to participate in legal proceedings. The gnoseological reason for that consists of the bad quality of materials subject to examination that renders the examination either completely impossible or compromises objective, reasoned and reliable assessment of the findings. The procedural reason consists ofa proscription for an expert to collect evidence himself or herself. The author investigates into the ways of how an expert can participate in legal proceedings. If the defense invites an expert to participate in the proceedings, then it is recommended that his or her involvement should be in the presence of attesting witnesses and recorded in the protocol. In the course of the legal proceedings an expert has the following tasks: adding initial data, acquiring new initial data, understanding the situation of the incident, acquiring new objects to be studied, including samples for examination. An expert’s participation in legal proceedings differs from the participation of a specialist or an examination on the scene of the incident. The author describes the tasks that an expert solves in the course of legal proceedings, the peculiarities ofan investigation experiment practices, the selection of samples for an examination, inspection, interrogation.

UPAYA MENINGKATKAN KEMAMPUAN MEMBACA MELALUI METODE SCRAMBLE PADA PESERTA DIDIK KELAS I SD NEGERI 002 BENTENG KECAMATAN SUNGAI BATANG

2017 ◽  
Vol 6 (2) ◽  
pp. 409
Author(s):  
Reni Marlina
Keyword(s):  
Cooperative Learning ◽  
Initial Data ◽  
Learning Outcomes ◽  
Reading Ability ◽  
First Grade ◽  
Student Learning Outcomes ◽  
Female Students ◽  
Male Students ◽  
Average Analysis ◽  
Before And After

This study aims to improve students' reading ability through the first grade scramble students of SD Negeri 002 Benteng, Kecamatan Sungai Batang, which are 28 students with 11 male students and 17 female students with heterogeneous ability. This study is based on the low ability of students' learning outcomes and lack of awareness of teachers to implement an effective, innovative, and cooperative learning. The study was conducted from September 3, 2016 to October 8, 2016. This study is a classroom action research (PTK) consisting of two cycles. Minimum completeness criteria (KKM) and average analysis are used to determine whether or not improvement of student learning outcomes before and after using the scramble learning model. The results of this study indicate that the number of students who reach KKM in the initial data is only 10 people (36%), cycle I is 16 people (57%), and the second cycle is 25 people (89%). The average student score at baseline was 68.4; cycle I increased to 75,9; in the second cycle increased again to 83,6. Based on the results of this study it can be concluded that the model of learning scramble can improve reading ability in Indonesian language students class I of SD Negeri 002 Benteng, Kecamatan Sungai Batang.

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