Zobrazeno 1 - 10
of 30
pro vyhledávání: '"Ljubica Oparnica"'
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 7, Iss , Pp 100473- (2023)
Stochastic parabolic equations with random potentials, where the Wick product is used to give sense to the product of generalized stochastic processes, are considered. The existence and uniqueness of solutions are proved via the chaos expansion metho
Externí odkaz:
https://doaj.org/article/c822b6fb5a4a40b991794ed9bee92b6b
Publikováno v:
Abstract and Applied Analysis, Vol 2011 (2011)
We discuss thermodynamical restrictions for a linear constitutive equation containing fractional derivatives of stress and strain of different orders. Such an equation generalizes several known models. The restrictions on coefficients are derived by
Externí odkaz:
https://doaj.org/article/fc3df318967f479686ddffc580cf7e7b
Publikováno v:
COMPUTERS & MATHEMATICS WITH APPLICATIONS
In this work we investigate a very weak solution to the initial-boundary value problem of an Euler-Bernoulli beam model. We allow for bending stiffness, axial- and transversal forces as well as for initial conditions to be irregular functions or dist
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6a41b24755aad5c29b5d21ff47d3bdfb
https://doi.org/10.1016/j.camwa.2022.08.011
https://doi.org/10.1016/j.camwa.2022.08.011
Autor:
Frederik Broucke, Ljubica Oparnica
Publikováno v:
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
Distributed-order time-fractional wave equations appear in the modeling of wave propagation in viscoelastic media. The material characteristics of the medium are modeled through constitutive functions or distributions in the distributed-order constit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5ca9dceaf28036922ce767cc7604c37b
Autor:
Ljubica Oparnica, Frederik Broucke
Publikováno v:
JOURNAL OF DIFFERENTIAL EQUATIONS
This paper concerns the micro-local and qualitative analysis of the fractional Zener wave equation. The classical and Gevrey-type wave front sets of the fundamental solution are determined, and questions on dispersion, dissipation, wave propagation s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::113fe68a868627b412ba923887171d44
https://biblio.ugent.be/publication/8746439/file/8746440
https://biblio.ugent.be/publication/8746439/file/8746440
Publikováno v:
Acta Mechanica. 230(12):4321-4340
© 2019, Springer-Verlag GmbH Austria, part of Springer Nature. Thermodynamically consistent fractional Burgers constitutive models for viscoelastic media, divided into two classes according to model behavior in stress relaxation and creep tests near
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1bbbfde5180142fd9bbe1a0343a0e080
https://www.cris.uns.ac.rs/record.jsf?recordId=111013&source=OpenAIRE&language=en
https://www.cris.uns.ac.rs/record.jsf?recordId=111013&source=OpenAIRE&language=en
Autor:
Dušan Zorica, Ljubica Oparnica
Publikováno v:
Philos Trans A Math Phys Eng Sci
Using the method of a priori energy estimates, energy dissipation is proved for the class of hereditary fractional wave equations, obtained through the system of equations consisting of equation of motion, strain and fractional order constitutive mod
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::553387be9132364cee78b71766f89690
https://europepmc.org/articles/PMC7287318/
https://europepmc.org/articles/PMC7287318/
Publikováno v:
Nastava i vaspitanje. 67:129-146
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::34419c19262275af8f890d6973151dcb
https://doi.org/10.5937/nasvas1801129m
https://doi.org/10.5937/nasvas1801129m
Publikováno v:
Chaos, Solitons & Fractals. 151:111245
In this work we consider a class of stochastic parabolic equations with singular space depending potential, random driving force and random initial condition. For the analysis of these equations we combine the chaos expansion method from the white no
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f4d58fd11a7e57d733829097e80d2442
https://doi.org/10.1016/j.chaos.2021.111245
https://doi.org/10.1016/j.chaos.2021.111245
Publikováno v:
Mathematics and Mechanics of Solids. 23:1420-1430
© The Author(s) 2017. We discuss unique existence and microlocal regularity properties of Sobolev space solutions to the fractional Eringen wave equation, initially given in the form of a system of equations, in which the classical non-local Eringen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e43cfce420b2cbf00e31dcf87afb4e4a
https://doi.org/10.1177/1081286517726371
https://doi.org/10.1177/1081286517726371