Pub Date : 2023-06-01DOI: 10.21538/0134-4889-2023-29-2-133-144
В. Г. Пименов, А. Б. Ложников
{"title":"Метод Ричардсона для диффузионного уравнения с функциональным запаздыванием","authors":"В. Г. Пименов, А. Б. Ложников","doi":"10.21538/0134-4889-2023-29-2-133-144","DOIUrl":"https://doi.org/10.21538/0134-4889-2023-29-2-133-144","url":null,"abstract":"","PeriodicalId":44555,"journal":{"name":"Trudy Instituta Matematiki i Mekhaniki UrO RAN","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44447428","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-06-01DOI: 10.21538/0134-4889-2023-29-2-145-156
Людмила Ильинична Рубина
{"title":"Об одном подходе к решению волнового уравнения для диэлектрических немагнитных сред","authors":"Людмила Ильинична Рубина","doi":"10.21538/0134-4889-2023-29-2-145-156","DOIUrl":"https://doi.org/10.21538/0134-4889-2023-29-2-145-156","url":null,"abstract":"","PeriodicalId":44555,"journal":{"name":"Trudy Instituta Matematiki i Mekhaniki UrO RAN","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46292595","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-06-01DOI: 10.21538/0134-4889-2023-29-2-207-216
Юлия Валерьевна Юлмухаметова
In this paper we consider a submodel of the gas with a linear velocity field. It is formed by a system of nonlinear differential equations with initial data. Several first integrals of the system are obtained. As a result the order of the system is reduced. For special initial data of the problem, an approximate solution of differential equations of the submodel is obtained. Such solutions correspond to world lines describing the radial expansion of the gas particles from the vortex. Trajectories of motion of gas particles are constructed.
{"title":"Плоский коллапс газа с линейным полем скоростей","authors":"Юлия Валерьевна Юлмухаметова","doi":"10.21538/0134-4889-2023-29-2-207-216","DOIUrl":"https://doi.org/10.21538/0134-4889-2023-29-2-207-216","url":null,"abstract":"In this paper we consider a submodel of the gas with a linear velocity field. It is formed by a system of nonlinear differential equations with initial data. Several first integrals of the system are obtained. As a result the order of the system is reduced. For special initial data of the problem, an approximate solution of differential equations of the submodel is obtained. Such solutions correspond to world lines describing the radial expansion of the gas particles from the vortex. Trajectories of motion of gas particles are constructed.","PeriodicalId":44555,"journal":{"name":"Trudy Instituta Matematiki i Mekhaniki UrO RAN","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44167698","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-06-01DOI: 10.21538/0134-4889-2023-29-2-27-40
С. А. Бочкарёв, В. П. Матвеенко
{"title":"Анализ собственных колебаний цилиндрической оболочки переменной толщины, частично заполненной жидкостью","authors":"С. А. Бочкарёв, В. П. Матвеенко","doi":"10.21538/0134-4889-2023-29-2-27-40","DOIUrl":"https://doi.org/10.21538/0134-4889-2023-29-2-27-40","url":null,"abstract":"","PeriodicalId":44555,"journal":{"name":"Trudy Instituta Matematiki i Mekhaniki UrO RAN","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47611800","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-06-01DOI: 10.21538/0134-4889-2023-29-2-87-103
А. И. Короткий, И. А. Цепелев
{"title":"Ассимиляция граничных данных для восстановления коэффициента поглощения в модели стационарной реакции-конвекции-диффузии","authors":"А. И. Короткий, И. А. Цепелев","doi":"10.21538/0134-4889-2023-29-2-87-103","DOIUrl":"https://doi.org/10.21538/0134-4889-2023-29-2-87-103","url":null,"abstract":"","PeriodicalId":44555,"journal":{"name":"Trudy Instituta Matematiki i Mekhaniki UrO RAN","volume":"44 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135675769","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-06-01DOI: 10.21538/0134-4889-2023-29-2-41-53
А. Р. Данилин, О. О. Коврижных
{"title":"Асимптотика решения задачи оптимального управления с терминальным выпуклым критерием качества и возмущением начальных данных","authors":"А. Р. Данилин, О. О. Коврижных","doi":"10.21538/0134-4889-2023-29-2-41-53","DOIUrl":"https://doi.org/10.21538/0134-4889-2023-29-2-41-53","url":null,"abstract":"","PeriodicalId":44555,"journal":{"name":"Trudy Instituta Matematiki i Mekhaniki UrO RAN","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135675772","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-06-01DOI: 10.21538/0134-4889-2023-29-2-104-114
Валентин Васильевич Напалков, А. А. Нуятов
{"title":"О гильбертовых пространствах последовательностей, образованных значениями функций из пространства Баргмана - Фока","authors":"Валентин Васильевич Напалков, А. А. Нуятов","doi":"10.21538/0134-4889-2023-29-2-104-114","DOIUrl":"https://doi.org/10.21538/0134-4889-2023-29-2-104-114","url":null,"abstract":"","PeriodicalId":44555,"journal":{"name":"Trudy Instituta Matematiki i Mekhaniki UrO RAN","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45637934","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-06-01DOI: 10.21538/0134-4889-2023-29-2-172-188
П. Г. Сурков
{"title":"Адаптивный алгоритм устойчивой онлайн идентификации помехи в системе дробного порядка на бесконечном временном горизонте","authors":"П. Г. Сурков","doi":"10.21538/0134-4889-2023-29-2-172-188","DOIUrl":"https://doi.org/10.21538/0134-4889-2023-29-2-172-188","url":null,"abstract":"","PeriodicalId":44555,"journal":{"name":"Trudy Instituta Matematiki i Mekhaniki UrO RAN","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46287315","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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