Parallel Integral Curves

2012 ◽  
Author(s):  
David Pugmire ◽  
Tom Peterka ◽  
Christoph Garth
Keyword(s):  
Integral Curves

DATA RECOVERY OF ANNUAL RIVER RUNOFF IN THE SYRDARYA RIVER BASIN

2021 ◽  
Vol 100 (1) ◽  
pp. 17-26
Author(s):  
T. Kazakbayeva ◽  
Keyword(s):  
River Basin ◽  
River Runoff ◽  
Annual Runoff ◽  
Data Recovery ◽  
Base Period ◽  
Quantitative Estimates ◽  
Integral Curves ◽  
Analogue Method ◽  
Runoff Rate ◽  
Variability Index

The data recovery of the annual runoff was carried out and correlation dependences were obtained, which were used to calculate the runoff rate for each of the selected rivers in the Syrdariya river basin. Differential integral curves were constructed from the runoff data using the variability index. When restoring the missing data on the annual runoff, the river-analogue method was applied. The actual series of observations are given for a longterm period. The base period was chosen from 1960 to 2015. Quantitative estimates of the effectiveness of bringing the average values to a multi-year period are also provided.

scholarly journals On the measure of section of the integral curves

1940 ◽  
Vol 16 (0) ◽  
pp. 71-78 ◽  
Author(s):  
Sôichi KAKEYA ◽  
Masatsugu TSUJI
Keyword(s):  
Integral Curves

scholarly journals Flows of measures generated by vector fields

2018 ◽  
Vol 148 (4) ◽  
pp. 773-818
Author(s):  
Emanuele Paolini ◽  
Eugene Stepanov
Keyword(s):  
Vector Field ◽  
Vector Fields ◽  
Borel Measure ◽  
Weak Sense ◽  
Positive Borel Measure ◽  
Smooth Structure ◽  
Smooth Vector ◽  
Integral Curves ◽  
The Given ◽  
Measurable Vector

The scope of the paper is twofold. We show that for a large class of measurable vector fields in the sense of Weaver (i.e. derivations over the algebra of Lipschitz functions), called in the paper laminated, the notion of integral curves may be naturally defined and characterized (when appropriate) by an ordinary differential equation. We further show that for such vector fields the notion of a flow of the given positive Borel measure similar to the classical one generated by a smooth vector field (in a space with smooth structure) may be defined in a reasonable way, so that the measure ‘flows along’ the appropriately understood integral curves of the given vector field and the classical continuity equation is satisfied in the weak sense.

ПРОГНОЗНАЯ ОЦЕНКА СТОКА БАССЕЙНА Р. ДОН НА ПЕРИОД 2020-2030 ГГ.

2020 ◽  
pp. 11
Author(s):  
V.B. Buber
Keyword(s):  
Statistical Analysis ◽  
River Basin ◽  
Integral Curves ◽  
Don River ◽  
The Difference

Рассмотрены методы и приведены результаты построения прогнозной оценки стока реки Дон на период 2020-2030 гг. При построении прогноза использованы метод построения разностных интегральных кривых и статистический анализ стока за период с 1881 по 2018гг.Considered methods and given the results of making a forecast estimation of Don River basin flow for the 2020-2030 years period. The forecast is based on the difference integral curves constructing method and flow statistical analysis for the period from 1881 to 2018.

scholarly journals Exact Solutions Superimposed with Nonlinear Plane Waves

2016 ◽  
Vol 2016 ◽  
pp. 1-7
Author(s):  
B. S. Desale ◽  
Vivek Sharma
Keyword(s):  
Exact Solution ◽  
Plane Wave ◽  
Incompressible Fluid ◽  
Exact Solutions ◽  
Large Scale ◽  
Plane Waves ◽  
Boussinesq Equations ◽  
Integral Curves ◽  
Nonlinear Plane ◽  
Scale Motion

The flow of fluid in atmosphere and ocean is governed by rotating stratified Boussinesq equations. Through the literature, we found that many researchers are trying to find the solutions of rotating stratified Boussinesq equations. In this paper, we have obtained special exact solutions and nonlinear plane waves. Finally, we provide exact solutions to rotating stratified Boussinesq equations with large scale motion superimposed with the nonlinear plane waves. In support of our investigations, we provided two examples: one described the special exact solution and in second example, we have determined the special exact solution superimposed with nonlinear plane wave. Also, we depicted some integral curves that represent the flow of an incompressible fluid particle on the planex1+x2=L(constant)as the particular case.

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