Неклассические модели математической физики с многоточечным начально-конечным условием

Неклассические модели математической физики с многоточечным начально-конечным условием

Автор: Загребина Софья Александровна, Конкина Александра Сергеевна

Журнал: Вестник Южно-Уральского государственного университета. Серия: Математическое моделирование и программирование @vestnik-susu-mmp

Рубрика: Обзорные статьи

Статья в выпуске: 1 т.15, 2022 года.

Бесплатный доступ

Статья содержит обзор результатов авторов в области неклассических моделей математической физики, для которых рассмотрены многоточечные начально-конечные условия, обобщающие условия Коши и Шоуолтера - Сидорова. Напомним, что неклассическими называют те модели математической физики, чьи представления в виде уравнений или систем уравнений в частных производных не укладываются в рамках одного из классических типов - эллиптического, параболического или гиперболического. Абстрактные результаты проиллюстрированы конкретными многоточечными начально-конечными задачами в различных постановках для уравнений в частных производных, возникающих в последнее время в приложениях. В том числе рассмотрены неавтономная модель Чена - Гетина с комплексными коэффициентами, стохастическая эволюционная модель Девиса, макромодель транспортного потока на перекрестке, основанная на уравнениях Осколкова, рассмотренных в системе геометрических графов, учитывающих условие непрерывности, баланса потока и условие запрета на движение.

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Уравнения соболевского типа, разрешающие -полупотоки операторов, разрешающие (полу)группы операторов, относительно спектральные проекторы, многоточечное начально-конечное условие, неавтономная модель чена - гетина, стохастическая модель девиса, макромодель транспортного потока на перекрестке

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Короткий адрес: https://sciup.org/147237430

IDR: 147237430

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