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Интеллектуальная Система Тематического Исследования НАукометрических данных |
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Structure of dynamical flowow and nonlocal feedback stabilization for normal parabolic equations connected with Helmholtz and Burgers equationsтезисы доклада Электронная публикация
- Автор: Fursikov A.V.
- Сборник: International Workshop “Inverse Problems and Integral Geometry”. Immanuel Kant Baltic Federal University, October 13-16, 2014
- Тезисы
- Год издания: 2014
- Место издания: Immanuel Kant Baltic Federal University Kaliningrad, http://aimg.kantiana.ru/workshop/index.html
- Первая страница: 9
- Аннотация: To understand better properties of equations of Navier-Stokes type we introduce and study normal parabolic equations (NPE) i.e. semilinear equations whose nonlinear term B satisfies the condition: for each v belonging to H1 B(v) is collinear to v. For 3D Helmholtz equations we derive normal parabolic equations (NPE), which nonlinear term B(v) is orthogonal projection of nonlinear terms for Helmholts system on the ray generated by v. Just this term is cause of the main dificulties arising in construction of smooth solutions for 3D Navier- Stokes equations. The structure of dynamical flow corresponding to indicated NPE will be described. For NPE corresponding to the differentiated Burgers equation we construct nonlocal feedback stabilization to zero of solutions by starting or impulse controls supported in an arbitrary fixed subdomain of the spatial domain. The last result can be applied to stabilization of solutions to Burgers equations.
- Добавил в систему: Фурсиков Андрей Владимирович