Corrigendum: Fourier Spectral Approximation to a Dissipative System Modeling the Flow of Liquid Crystals
نویسندگان
چکیده
≥ λ||dM ||2 − λ2 (2π)(2 + ε). ∗Received by the editors October 20, 2002; accepted for publication November 26, 2002; published electronically May 12, 2003. http://www.siam.org/journals/sinum/41-2/41653.html †Department of Mathematics, Penn State University, 307 McAllister Bldg., State College, PA 16802 ([email protected]). ‡Department of Mathematics, Shanghai Normal University, 100 Guilin Road, Shanghai 200234, People’s Republic of China, ([email protected]). §Department of Mathematics, Purdue University, West Lafayette, IN 47907 (shen@math. purdue.edu).
منابع مشابه
Fourier Spectral Approximation to a Dissipative System Modeling the Flow of Liquid Crystals
We study a Fourier-spectral method for a dissipative system modeling the flow of liquid crystals. We first prove its convergence in a suitable sense and establish the existence of a global weak solution of the original problem and its uniqueness in the two dimensional case. Then we derive error estimates which exhibit the spectral accuracy of the Fourier-spectral method. We also construct a ful...
متن کاملDilations, models, scattering and spectral problems of 1D discrete Hamiltonian systems
In this paper, the maximal dissipative extensions of a symmetric singular 1D discrete Hamiltonian operator with maximal deficiency indices (2,2) (in limit-circle cases at ±∞) and acting in the Hilbert space ℓ_{Ω}²(Z;C²) (Z:={0,±1,±2,...}) are considered. We consider two classes dissipative operators with separated boundary conditions both at -∞ and ∞. For each of these cases we establish a self...
متن کاملInherent Irreversibility of Exothermic Chemical Reactive Third-Grade Poiseuille Flow of a Variable Viscosity with Convective Cooling
In this study, the analysis of inherent irreversibility of chemical reactive third-grade poiseuille flow of a variable viscosity with convective cooling is investigated. The dissipative heat in a reactive exothermic chemical moves over liquid in an irreversible way and the entropy is produced unceasingly in the system within the fixed walls. The heat convective exchange with the surrounding tem...
متن کاملHigher-order Director Fluctuations
Standard theories of the influence of a fluctuating director on spin relaxation in nematic liquid crystals are based on the notion that the mean-square angular displacement (8’) of the director is small, such that terms of this and higher orders are negligible. One consequence of this ‘small-angle’ approximation is that director fluctuations contribute only to the spectral density J , ( o o ) a...
متن کاملSimulation of gas-liquid two phase flow in upriser pipe of gas-lift systems
Gas-lift pumps are devices for lifting liquid phase incorporating the gas phase to be injected in the bottom of liquid column. They are widely used in various industrial applications such as oil extracting in petroleum industries. Gas-liquid flow being the main part of the flow through these systems, flowing in vertical pipes of gas-lift pumps has different regimes namely bubbly, slug, chur...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- SIAM J. Numerical Analysis
دوره 41 شماره
صفحات -
تاریخ انتشار 2003