A generalization of the Gurtin’s variational principle in thermoelasticity without energy dissipation of dipolar bodies
Sign Up to like & getrecommendations! Published in 2020 at "Continuum Mechanics and Thermodynamics"
DOI: 10.1007/s00161-020-00873-5
Abstract: In our present paper, we approach the mixed problem with initial and boundary conditions, in the context of thermoelasticity without energy dissipation of bodies with a dipolar structure. Our first result is a reciprocal relation… read more here.
Keywords: gurtin variational; thermoelasticity without; variational principle; energy dissipation ... See more keywords
Generalized variational principles for buckling analysis of circular cylinders
Sign Up to like & getrecommendations! Published in 2019 at "Acta Mechanica"
DOI: 10.1007/s00707-019-02569-7
Abstract: A generalized variational principle and a parameterized generalized variational principle are obtained for large deformation analysis of circular cylinders by the semi-inverse method; all known variational principles in the literature are special cases of the… read more here.
Keywords: variational principles; generalized variational; variational principle; circular cylinders ... See more keywords
Adiabatic invariants for disturbed fractional Hamiltonian system in terms of Herglotz differential variational principle
Sign Up to like & getrecommendations! Published in 2020 at "Acta Mechanica"
DOI: 10.1007/s00707-020-02796-3
Abstract: Based on the differential variational principle of Herglotz type, we reveal the internal relation between the perturbation and the adiabatic invariants for fractional Hamiltonian system with combined Caputo derivatives. First, based on the Herglotz variational… read more here.
Keywords: system; variational principle; adiabatic invariants; fractional hamiltonian ... See more keywords
Variants of the Ekeland variational principle for approximate proper solutions of vector equilibrium problems
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Global Optimization"
DOI: 10.1007/s10898-019-00772-3
Abstract: In this paper, we provide variants of the Ekeland variational principle for a type of approximate proper solutions of a vector equilibrium problem, whose final space is finite dimensional and partially ordered by a polyhedral… read more here.
Keywords: ekeland variational; variational principle; variants ekeland; vector equilibrium ... See more keywords
Convolved energy variational principle in heat diffusion
Sign Up to like & getrecommendations! Published in 2021 at "International Journal of Heat and Mass Transfer"
DOI: 10.1016/j.ijheatmasstransfer.2021.121315
Abstract: Abstract One of the major, long-standing challenges in analytical mechanics involves the inability to address systems with dissipation in a rigorous manner. In this paper, we overcome that difficulty by formulating a novel temperature-based stationary… read more here.
Keywords: heat; convolved energy; principle; variational principle ... See more keywords
Optical soliton perturbation with anti-cubic nonlinearity by semi-inverse variational principle
Sign Up to like & getrecommendations! Published in 2017 at "Optik"
DOI: 10.1016/j.ijleo.2017.06.087
Abstract: Abstract The perturbed nonlinear Schrodinger's equation with anti-cubic nonlinearity is studied with the aid of semi-inverse variational principle. The perturbation terms that are included are inter-modal dispersion, third and fourth order dispersion, nonlinear dispersion and… read more here.
Keywords: semi inverse; inverse variational; nonlinearity; anti cubic ... See more keywords
Bright optical solitons for Lakshmanan-Porsezian-Daniel model by semi-inverse variational principle
Sign Up to like & getrecommendations! Published in 2018 at "Optik"
DOI: 10.1016/j.ijleo.2017.09.112
Abstract: Abstract This paper secures bright soliton solution to the Lakshmanan-Porsezian-Daniel equation that serves as an alternate model for describing soliton propagation dynamics along optical fibers. The two types of nonlinear media are studied. They are… read more here.
Keywords: semi inverse; lakshmanan porsezian; inverse variational; variational principle ... See more keywords
Fractional variational principle of Herglotz for a new class of problems with dependence on the boundaries and a real parameter
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Physics"
DOI: 10.1063/5.0021373
Abstract: The fractional variational problem of Herglotz type for the case where the Lagrangian depends on generalized fractional derivatives, the free endpoints conditions, and a real parameter is studied. This type of problem generalizes several problems… read more here.
Keywords: real parameter; dependence; variational principle; principle herglotz ... See more keywords
Ekeland variational principle and its equivalents in T1-quasi-uniform spaces
Sign Up to like & getrecommendations! Published in 2022 at "Optimization"
DOI: 10.1080/02331934.2022.2052288
Abstract: The present paper is concerned with Ekeland Variational Principle (EkVP) and its equivalents (Caristi-Kirk fixed point theorem, Takahashi minimization principle, Oettli-Th\'era equilibrium version of EkVP) in quasi-uniform spaces. These extend some results proved by Hamel,… read more here.
Keywords: ekeland variational; gauge spaces; uniform spaces; quasi uniform ... See more keywords
Resonant optical solitons with parabolic and dual-power laws by semi-inverse variational principle
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Modern Optics"
DOI: 10.1080/09500340.2017.1382597
Abstract: Abstract This paper obtains bright optical soliton solutions from resonant nonlinear Schrödinger’s equation by the aid of semi-inverse variational principle. The two forms of nonlinear media studied are parabolic and dual-power law. The necessary constraints… read more here.
Keywords: semi inverse; inverse variational; variational principle; parabolic dual ... See more keywords
The asymptotically additive topological pressure: variational principle for non-compact and intersection of irregular sets
Sign Up to like & getrecommendations! Published in 2019 at "Dynamical Systems"
DOI: 10.1080/14689367.2019.1567689
Abstract: ABSTRACT Let be a dynamical system, where is a compact metric space and is a continuous map. Using the concepts of g-almost product property and uniform separation property introduced by Pfister and Sullivan in Pfister… read more here.
Keywords: topological pressure; additive topological; variational principle; asymptotically additive ... See more keywords