An asymptotic variational problem modeling a thin elastic sheet on a liquid, lifted at one end
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6161
Abstract: We discuss a 1D variational problem modeling an elastic sheet on water, lifted at one end. Its terms include the membrane and bending energy of the sheet as well as terms due to gravity and… read more here.
Keywords: problem modeling; variational problem; sheet; elastic sheet ... See more keywords
The spectrum of the torus profile to a geometric variational problem with long range interaction
Sign Up to like & getrecommendations! Published in 2017 at "Physica D: Nonlinear Phenomena"
DOI: 10.1016/j.physd.2017.01.001
Abstract: Abstract The profile problem for the Ohta–Kawasaki diblock copolymer theory is a geometric variational problem. The energy functional is defined on sets in R 3 of prescribed volume and the energy of an admissible set… read more here.
Keywords: profile; variational problem; geometric variational; torus profile ... See more keywords
η-Approximation Method for Non-convex Multiobjective Variational Problems
Sign Up to like & getrecommendations! Published in 2017 at "Numerical Functional Analysis and Optimization"
DOI: 10.1080/01630563.2017.1314970
Abstract: ABSTRACT In this paper, we use the η-approximation method for a class of non-convex multiobjective variational problems with invex functionals. In this approach, for the considered multiobjective variational problem, the associated η-approximated multiobjective variational problem… read more here.
Keywords: convex multiobjective; variational problem; non convex; multiobjective variational ... See more keywords
Refined Solution of the Variational Problem of Identification of Lumped Parameter Mathematical Models of Heat Transfer
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DOI: 10.1134/s0018151x18060251
Abstract: A refined solution of the variational problem of determining the step of descent of the iterative regularization method is found within the problem of mathematical reliability of the parametric identification of lumped parameter mathematical heat… read more here.
Keywords: variational problem; problem; identification lumped; refined solution ... See more keywords
Inverse Variational Problem for Nonlinear Dynamical Systems
Sign Up to like & getrecommendations! Published in 2022 at "Acta Physica Polonica A"
DOI: 10.12693/aphyspola.141.64
Abstract: In this paper we have chosen to work with two different approaches to solving the inverse problem of the calculus of variation. The first approach is based on an integral representation of the Lagrangian function… read more here.
Keywords: dynamical systems; oscillator; variational problem; inverse variational ... See more keywords
Herglotz's Variational Problem for Non-Conservative System with Delayed Arguments under Lagrangian Framework and Its Noether's Theorem
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DOI: 10.3390/sym12050845
Abstract: Because Herglotz’s variational problem achieves the variational representation of non-conservative dynamic processes, its research has attracted wide attention. The aim of this paper is to explore Herglotz’s variational problem for a non-conservative system with delayed… read more here.
Keywords: system delayed; conservative system; variational problem; delayed arguments ... See more keywords
Variational problem involving operator curl associated with $p$-curl system
Sign Up to like & getrecommendations! Published in 2018 at "Turkish Journal of Mathematics"
DOI: 10.3906/mat-1606-11
Abstract: Abstract: We shall study the problem of minimizing a functional involving curl of vector fields in a three-dimensional, bounded multiconnected domain with the prescribed tangent component of a given vector field on the boundary. It… read more here.
Keywords: involving operator; system; problem involving; variational problem ... See more keywords