scholarly journals Minimization of even conic functions on the two-dimensional integral lattice

2020 ◽  
Vol 27 (1) ◽  
pp. 17-42
Author(s):  
D. V. Gribanov ◽  
D. S. Malyshev
Keyword(s):  
Two Dimensional ◽  
Integral Lattice ◽  
Dimensional Integral

Minimization of Even Conic Functions on the Two-Dimensional Integral Lattice

2020 ◽  
Vol 14 (1) ◽  
pp. 56-72
Author(s):  
D. V. Gribanov ◽  
D. S. Malyshev
Keyword(s):  
Two Dimensional ◽  
Integral Lattice ◽  
Dimensional Integral

State-of-the-Art of Modeling Surface Water Impoundments

1982 ◽  
Vol 14 (1-2) ◽  
pp. 241-261 ◽  
Author(s):  
P A Krenkel ◽  
R H French
Keyword(s):  
Water Quality ◽  
Surface Water ◽  
State Of The Art ◽  
Rate Coefficients ◽  
Two Dimensional ◽  
One Dimensional ◽  
Integral Energy ◽  
Range Of Values ◽  
Dimensional Integral ◽  
Water Impoundment

The state-of-the-art of surface water impoundment modeling is examined from the viewpoints of both hydrodynamics and water quality. In the area of hydrodynamics current one dimensional integral energy and two dimensional models are discussed. In the area of water quality, the formulations used for various parameters are presented with a range of values for the associated rate coefficients.

scholarly journals Solving two-dimensional integral equations

2011 ◽  
Vol 23 (1) ◽  
pp. 111-114 ◽  
Author(s):  
F. Bazrafshan ◽  
A.H. Mahbobi ◽  
A. Neyrameh ◽  
A. Sousaraie ◽  
M. Ebrahimi
Keyword(s):  
Integral Equations ◽  
Two Dimensional ◽  
Dimensional Integral

A spectral method of solving two-dimensional integral equations of convolution type

1993 ◽  
Vol 67 (5) ◽  
pp. 3344-3348
Author(s):  
V. M. Amerbaev ◽  
Ya. D. Pyanylo
Keyword(s):  
Integral Equations ◽  
Spectral Method ◽  
Convolution Type ◽  
Two Dimensional ◽  
Dimensional Integral

scholarly journals Variational modelling of nematic elastomer foundations

2018 ◽  
Vol 28 (14) ◽  
pp. 2863-2904
Author(s):  
Pierluigi Cesana ◽  
Andrés A. León Baldelli
Keyword(s):  
Liquid Crystal ◽  
Integral Functional ◽  
Elastic Membrane ◽  
Two Dimensional ◽  
Order Tensor ◽  
Asymptotic Regime ◽  
Liquid Crystal Elastomer ◽  
Energy Functionals ◽  
Shear Energy ◽  
Dimensional Integral

We compute the [Formula: see text]-limit of energy functionals describing mechanical systems composed of a thin nematic liquid crystal elastomer sustaining a homogeneous and isotropic elastic membrane. We work in the regime of infinitesimal displacements and model the orientation of the liquid crystal according to the order tensor theories of both Frank and De Gennes. We describe the asymptotic regime by analysing a family of functionals parametrised by the vanishing thickness of the membranes and the ratio of the elastic constants, establishing that, in the limit, the system is represented by a two-dimensional integral functional interpreted as a linear membrane on top of a nematic active foundation involving an effective De Gennes optic tensor which allows for low order states. The latter can suppress shear energy by formation of microstructure as well as act as a pre-strain transmitted by the foundation to the overlying film.

scholarly journals A NOTE ON TWO DIMENSIONAL INTEGRAL INEQUALITY

1990 ◽  
Vol 21 (3) ◽  
pp. 211-213
Author(s):  
B. G. PACHPATTE
Keyword(s):  
Integral Inequality ◽  
Present Note ◽  
Two Dimensional ◽  
Partial Derivatives ◽  
Independent Variables ◽  
Dimensional Integral ◽  
Two Independent Variables

In the present note we establish a new integral inequality involving a function of two independent variables and its partial derivatives.

Sign in / Sign up

Export Citation Format

Share Document