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Mathematical analysis of Navier-Stokes equations and related models.
В наличии
Местонахождение: Алматы | Состояние экземпляра: новый |
Бумажная
версия
версия
Автор: Yinghui Zhang and Zhong Tan
ISBN: 9783659556340
Год издания: 2014
Формат книги: 60×90/16 (145×215 мм)
Количество страниц: 220
Издательство: LAP LAMBERT Academic Publishing
Цена: 36636 тг
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Аннотация: It is known that Navier-Stokes equations is one of the most important equations in Fluid Mechanics and gas dynamics. On May 24, 2000, the Clay Mathematics Institute of Cambridge, Massachusetts (CMI) has named Navier-Stokes equations: Existence and smoothness of Navier-Stokes equations on $R^3$ as one of seven million problems. In this book, our aim is to study existence and asymptotic behavior of the Navier-Stokes equations and related models. The closely related models such as the Navier-Stokes-Poisson equations, Navier-Stokes-Korteweg equations,Jin-Xin model and Euler equations with damping are also studied. This book consists of three parts. Part 1 is to study the existence and zero dissipation limit of one-dimensional Navier-Stokes equations of compressible, isentropic and non-isentropic gases, and Jin-Xin model. The second part is about the existence and asymptotic behavior of the higher dimensional Navier-Stokes equations, Navier-Stokes-Poisson equations and Navier-Stokes-Korteweg equations. The third part is about the existence and asymptotic behavior of the isentropic and non-isentropic Euler equations with damping.
Ключевые слова: existence, Navier-Stokes, asymptotic behavior, Navier-Stokes-Poisson, Navier-Stokes-Korteweg, Jin-Xin model, Euler equations with damping