Results 41 to 50 of about 13,711 (154)

Existence via regularity of solutions for elliptic systems and saddle points of functionals of the calculus of variations

Advances in Nonlinear Analysis, 2017
The core of this paper concerns the existence (via regularity) of weak solutions in W01,2${W_{0}^{1,2}}$ of a class of elliptic systems such ...
Boccardo Lucio, Orsina Luigi
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Optimal Feeding Trajectories Design for E. coli Fed-batch Fermentations [PDF]

International Journal Bioautomation, 2010
In this paper optimal control algorithms for two E. coli fed-batch fermentations are developed. Fed-batch fermentation processes of E. coli strain MC4110 and E. coli strain BL21(DE3)pPhyt109 are considered.
Olympia Roeva, Stoyan Tzonkov, Bernd Hitzmann   +2 more
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Calculus of variations and its application to division of forest land

Journal of Forest Science, 2004
The paper deals with an application of the least squares method (LSM) for the purposes of division and evaluation of land. This method can be used in all cases with redundant number of measurements, in this case of segments of plots.
M. Matějík
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Modeling the Dynamics of the Production Process in the Conditions of Uncertainty with the Use of the Calculus of Variations

Folia Oeconomica Stetinensia, 2016
The article examines the possibility of applying elements of the calculus of variations to determine the quasi-optimum distribution of production at the time in terms of stochastic.
Grzesiak Stefan
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A Note on the Semi-Inverse Method and a Variational Principle for the Generalized KdV-mKdV Equation

Abstract and Applied Analysis, 2013
Ji-Huan He systematically studied the inverse problem of calculus of variations. This note reveals that the semi-inverse method also works for a generalized KdV-mKdV equation with nonlinear terms of any orders.
Li Yao, Yun-Jie Yang, Xing-Wei Zhou
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The Interconnection Between Calculus of Variations, Partial Differential Equations and Differential Geometry

Selecciones Matemáticas
Calculus of variations is a fundamental mathematical discipline focused on optimizing functionals, which map sets of functions to real numbers. This field is essential for numerous applications, including the formulation and solution of partial ...
Delphin Mwinken
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Optimizing Variational Problems through Weighted Fractional Derivatives

Fractal and Fractional
In this article, we explore a variety of problems within the domain of calculus of variations, specifically in the context of fractional calculus. The fractional derivative we consider incorporates the notion of weighted fractional derivatives along with
Ricardo Almeida
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Exploring Variational Methods in Hydro- and Hemodynamics Through Incompressible Velocity Distribution Sampling

IEEE Access
Artificial neural networks are a robust tool for approximating spatial and temporal functions. This study introduces a novel method for hydro- and hemodynamics based on the minimization of a power loss.
Ivan Stebakov, Alexei Kornaev, Elena Kornaeva, Sergey Majorov   +3 more
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Determination of obstacles in Stokes flow by boundary measurement

Electronic Journal of Differential Equations, 2017
We study the determination of some obstacles in a Stokes flow domain with overdetermined boundary data. We use a method based on the topological sensitivity technique associated to the reciprocity gap function concept. We develop an asymptotic formula
Mohamed Abdelwahed, Montassar Barhoumi, Nejmeddine Chorfi   +2 more
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On the inequality of weierstrass for nonlocal functionals

Journal of Inequalities and Applications, 2001
The aim of this paper is to consider the problem of extremum of the nonlocal functional, which depends on a function and its derivative with respect to at several values of .
Kamenskii GA, Zabrodina Ju P
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