Results 41 to 50 of about 66,959 (230)

Modeling of turbulent fluid flow based on the solution of the Mathieu equation

Вестник Дагестанского государственного технического университета: Технические науки
Objective. This work examines the problem of fluid flow simulation in a turbulent regime. The main reasons why turbulent flow occurs are due to the existence of high velocities of movement in fluids; besides that, there may be obstacles or changes in the
V. V. Garbuzov, A. P. Preobrazhensky
doaj   +1 more source

Statistics of delay times in mesoscopic systems as a manifestation of eigenfunction fluctuations

, 2005
We reveal a general explicit relation between the statistics of delay times in one-channel reflection from a mesoscopic sample of any spatial dimension and the statistics of the eigenfunction intensities in its closed counterpart.
A. Ossipov, Alexander Ossipov, B. L. Altshuler, C. W. J. Beenakker, F. Haake, H.-J. Stöckmann, H.-J. Stökmann, I. E. Smolyarenko, K. B. Efetov, K. B. Efetov, K. B. Efetov, M. Bauer, M. Janssen, V. E. Kravtsov, V. I. Falko, V. I. Falko, V. L. Lyuboshitz, V. L. Lyuboshitz, V. L. Lyuboshitz, V. N. Prigodin, Y. V. Fyodorov, Y. V. Fyodorov, Y. V. Fyodorov, Yan V. Fyodorov   +23 more
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Advanced control of non‐isothermal axial dispersion tubular reactors with recycle‐induced state delay

The Canadian Journal of Chemical Engineering, EarlyView.
Abstract We develop a delay‐aware estimation and control framework for a non‐isothermal axial dispersion tubular reactor modelled as a coupled parabolic‐hyperbolic PDE system with recycle‐induced state delay. The infinite‐dimensional dynamics are preserved without spatial discretization by representing the delay as a transport PDE and adopting a late ...
Behrad Moadeli, Stevan Dubljevic
wiley   +1 more source

Additional symmetries of constrained CKP and BKP hierarchies

, 2010
The additional symmetries of the constrained CKP (cCKP) and BKP (cBKP) hierarchies are given by their actions on the Lax operators, and their actions on the eigenfunction and adjoint eigenfunction $\{\Phi_i,\Psi_i \}$ are presented explicitly ...
A. Alexandrov, A. Mironov, A. Morozov, A. Y. Orlov, B. G. Konopelchenko, E. Date, E. Date, H. Aratyn, H. Aratyn, H. F. Shen, I. Loris, I. Loris, I. Loris, J. S. He, J. S. He, JingSong He, JiPeng Cheng, K. Takasaki, KeLei Tian, L. A. Dickey, L. A. Dickey, L. A. Dickey, M. Adler, M. Adler, M. H. Tu, P. Moerbke van, W. X. Ma, W. X. Ma, W. X. Ma, Y. Cheng, Y. Cheng, Yi Cheng   +31 more
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Intraday Functional PCA Forecasting of Cryptocurrency Returns

Journal of Forecasting, EarlyView.
ABSTRACT We study the functional PCA (FPCA) forecasting method in application to functions of intraday returns on Bitcoin. We show that improved interval forecasts of future return functions are obtained when the conditional heteroscedasticity of return functions is taken into account.
Joann Jasiak, Cheng Zhong
wiley   +1 more source

New Drain Spacing Formulas Using the Variational Iteration Method

Irrigation and Drainage, EarlyView.
ABSTRACT In this study, the drain spacing is computed using the variational iteration method (VIM) to the linearized Boussinesq equation. By applying at most two iterations of the VIM method under three different initial condition scenarios, three equations for drain spacing calculation were derived. These equations predict values of drain spacing that
George Kargas, Leonidas Mindrinos, Paraskevi Londra   +2 more
wiley   +1 more source

Shape of extremal functions for weighted Sobolev-type inequalities

Advances in Nonlinear Analysis
We study the shape of solutions to certain variational problems in Sobolev spaces with weights that are powers of ∣x∣| x| . In particular, we detect situations when the extremal functions lack symmetry properties such as radial symmetry and antisymmetry.
Brock Friedemann, Chiacchio Francesco, Croce Gisella, Mercaldo Anna   +3 more
doaj   +1 more source

Eigenfunction Expansions for Second-Order Boundary Value Problems with Separated Boundary Conditions [PDF]

Mathematics Interdisciplinary Research, 2016
In this paper, we investigate some properties of eigenvalues and eigenfunctions of boundary value problems with separated boundary conditions. Also, we obtain formal series solutions for some partial differential equations associated with the second ...
Seyfollah Mosazadeh
doaj   +1 more source

Spectral Analysis of One Class of Positive-Definite Operators and Their Application in Fractional Calculus

Mathematics, 2023
This paper is devoted to the spectral analysis of one class of integral operators, associated with the boundary-value problems for differential equations of fractional order.
Tatiana Matseevich, Temirkhan Aleroev
doaj   +1 more source

The Shape of the Level Sets of the First Eigenfunction of a Class of Two Dimensional Schr\"odinger Operators [PDF]

, 2014
We study the first Dirichlet eigenfunction of a class of Schr\"odinger operators with a convex potential V on a domain $\Omega$. We find two length scales $L_1$ and $L_2$, and an orientation of the domain $\Omega$, which determine the shape of the level ...
Beck, Thomas
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