Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Tamara Fastovska"'
Publikováno v:
Frontiers in Applied Mathematics and Statistics, Vol 10 (2024)
We consider a nonlinear transmission problem for a Bresse beam, which consists of two parts, damped and undamped. The mechanical damping in the damping part is present in the shear angle equation only, and the damped part may be of arbitrary positive
Externí odkaz:
https://doaj.org/article/50fb07569b234438a3d3032e53764584
Publikováno v:
Zurnal matematiceskoj fiziki, analiza, geometrii. 15:448-501
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::09057d29caf9e37c833f4b4d6d4c6730
https://doi.org/10.15407/mag15.04.448
https://doi.org/10.15407/mag15.04.448
Autor:
Tamara Fastovska
Publikováno v:
Discrete & Continuous Dynamical Systems - A. 38:1315-1348
We study the long-time dynamics of a coupled system consisting of the 2D Navier-Stokes equations and full von Karman elasticity equations. We show that this problem generates an evolution semigroup $S_t$ possessing a compact finite-dimensional global
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::563c2d2d60fc0e44220c0f97ebd27bb7
https://doi.org/10.3934/dcds.2018054
https://doi.org/10.3934/dcds.2018054
Autor:
Tamara Fastovska, Igor Chueshov
Publikováno v:
Evolution Equations and Control Theory. 5:605-629
We study dynamics of a coupled system consisting of the 3D Navier--Stokes equations which is linearized near a certain Poiseuille type flow between two unbounded circular cylinders and nonlinear elasticity equations for the transversal displacements
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8ea2bbc925893c4d592069020287bb12
https://doi.org/10.3934/eect.2016021
https://doi.org/10.3934/eect.2016021
Autor:
Tamara Fastovska
Publikováno v:
Mathematical Methods in the Applied Sciences. 39:3669-3690
We consider a nonlinear system of thermoelasticity in shape memory alloys without viscosity. The existence and uniqueness of strong and weak solutions and the existence of a compact global attractor in an appropriate space are proved. Copyright © 20
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::252983e1395026b0d019e2519888977b
https://doi.org/10.1002/mma.3815
https://doi.org/10.1002/mma.3815
Autor:
Tamara Fastovska
Publikováno v:
Communications on Pure & Applied Analysis. 12:2645-2667
A linear transmission problem for a thermoelastic Timoshenko beam model with Fourier low of heat conduction which has a Kirchhoff part with hereditary heat conduction of Gurtin-Pipkin type is considered. We prove that the system is exponentially stab
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d6af96ead55e26a219b5f1d077f69330
https://doi.org/10.3934/cpaa.2013.12.2645
https://doi.org/10.3934/cpaa.2013.12.2645
Autor:
Tamara Fastovska
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 71:4833-4851
A nonlinear problem for a thermo-viscoelastic Mindlin–Timoshenko plate with hereditary heat conduction is considered here. We prove the existence of a compact global attractor whose fractal dimension is finite. The main aim of the work is to show t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::841939c17e67e643ee3bce890e7a838b
https://doi.org/10.1016/j.na.2009.03.059
https://doi.org/10.1016/j.na.2009.03.059
Autor:
Tamara Fastovska
Publikováno v:
Scopus-Elsevier
A nonlinear problem for thermoelastic Mindlin-Timoshenko plate with hereditary heat conduction of Gurtin-Pipkin type is considered here. We prove the existence of a compact global attractor whose fractal dimension is finite. The main aim of the work
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2cb031f5c1dedecea96823e4842a3223
https://doi.org/10.3934/cpaa.2007.6.83
https://doi.org/10.3934/cpaa.2007.6.83