Zobrazeno 1 - 9
of 9
pro vyhledávání: '"K. S. Platonova"'
Autor:
A. V. Borovskih, K. S. Platonova
Publikováno v:
Theoretical and Mathematical Physics. 208:1165-1181
We complete the investigation of the feasibility in principle to close the moment system for the kinetic equation via invariant relations obtained by group analysis methods. For the one-dimensional equation, we obtain an affirmative answer, find an i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8c2ac47281f3eb15444ad1154b7741e0
https://doi.org/10.1134/s0040577921090014
https://doi.org/10.1134/s0040577921090014
Publikováno v:
Teoreticheskaya i Matematicheskaya Fizika. 208:367-386
Завершено исследование вопроса о принципиальной возможности замыкания моментной системы кинетического уравнения посредством инвариа
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6cf03a5847666c907bacfb4be049aead
https://doi.org/10.4213/tmf10098
https://doi.org/10.4213/tmf10098
Publikováno v:
Theoretical and Mathematical Physics. 203:794-823
We present results of a group analysis of the multidimensional Boltzmann and Vlasov equations. For the Boltzmann equation, we obtain the equivalence group and classifying relations for the symmetry group and study these relations in the case where ex
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::607a6d2f1498b1bbcd80a24b3381ce49
https://doi.org/10.1134/s0040577920060070
https://doi.org/10.1134/s0040577920060070
Publikováno v:
Teoreticheskaya i Matematicheskaya Fizika. 203:417-450
Приведены результаты группового анализа многомерных уравнений Больцмана и Власова. Для уравнения Больцмана получены классифицирующие
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::522ade9835a377dac640416a2173d37a
https://doi.org/10.4213/tmf9849
https://doi.org/10.4213/tmf9849
Publikováno v:
Teoreticheskaya i Matematicheskaya Fizika. 201:232-265
Рассмотрено одномерное уравнение Больцмана $f_{t}+cf_{x}+(\mathcal{F}f)_{c}=0$ с функцией $\mathcal{F}$, зависящей от $(t,x,c,f)$. Получена полная групповая класс
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::743b763b3f244b9dfaa13e1d9622f857
https://doi.org/10.4213/tmf9708
https://doi.org/10.4213/tmf9708
Publikováno v:
Theoretical and Mathematical Physics. 195:886-915
We present the group classification of the one-dimensional Boltzmann equation with respect to the function F = F(t, x, c) characterizing an external force field under the assumption that the physically meaningful constraints dx = c dt, dc = F dt, dt
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d674225c5c4e008eac7a615abc2b7cbb
https://doi.org/10.1134/s0040577918060077
https://doi.org/10.1134/s0040577918060077
Publikováno v:
Teoreticheskaya i Matematicheskaya Fizika. 195:451-482
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b68e441c62890089f9d06c39815b3a5a
https://doi.org/10.4213/tmf9425
https://doi.org/10.4213/tmf9425
Autor:
K. S. Platonova
Publikováno v:
Differential Equations. 53:796-808
We obtain relations that define the equivalence algebra of the family of one-dimensional Boltzmann equations f t + cf x + F(t, x, c)f c = 0 and show that all equations of that form are locally equivalent. We carry out the group classification of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::985e896532d412b9dfd678a3ed38a0ae
https://doi.org/10.1134/s0012266117060106
https://doi.org/10.1134/s0012266117060106
Autor:
K. S. Platonova
Publikováno v:
Differential Equations. 53:530-538
We consider the one-dimensional Boltzmann equation f t + cf x + Ff c = 0, where the functions f and F are assumed to depend on three variables t, x, and c. We obtain relations defining the symmetry algebra in the general case and also under the addit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::05fe434b60b5a0cda58ea2f335033146
https://doi.org/10.1134/s0012266117040115
https://doi.org/10.1134/s0012266117040115