Zobrazeno 1 - 10
of 19
pro vyhledávání: '"Oleksandr Misiats"'
Publikováno v:
Electronic Journal of Differential Equations, Vol 2023, Iss 35,, Pp 1-21 (2023)
Externí odkaz:
https://doaj.org/article/150bf44c9d3d460ca1935b30acbc41f9
Publikováno v:
Mathematical Models and Methods in Applied Sciences. 32:1671-1723
In materials that undergo martensitic phase transformation, distinct elastic phases often form layered microstructures — a phenomenon known as twinning. In some settings the volume fractions of the phases vary macroscopically; this has been seen, i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1e43871edac85f65f1a1f2dd2d3811af
https://doi.org/10.1142/s0218202522500397
https://doi.org/10.1142/s0218202522500397
In materials that undergo martensitic phase transformation, macroscopic loading often leads to the creation and/or rearrangement of elastic domains. This paper considers an example involving a single-crystal slab made from two martensite variants. Wh
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6f0426961c489ed17b84798c2444f8df
http://arxiv.org/abs/2206.09882
http://arxiv.org/abs/2206.09882
Publikováno v:
European Political and Law Discourse. 7:210-217
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::aded20e3a86c86ec35212bb66feebb16
https://doi.org/10.46340/eppd.2020.7.5.23
https://doi.org/10.46340/eppd.2020.7.5.23
Publikováno v:
Discrete & Continuous Dynamical Systems - A. 40:6159-6177
The bidomain equations driven by stochastic forces and subject to nonlinearities of FitzHugh-Nagumo or Allen-Cahn type are considered for the first time. It is shown that this set of equations admits a global weak solution as well as a stationary sol
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::646dd929e0c7d4d373b1d736cfc90e10
https://doi.org/10.3934/dcds.2020274
https://doi.org/10.3934/dcds.2020274
In this paper, we study the conditions for the existence of strong solutions (both local and global) for stochastic bidomain equations. To this end, we use a priori energy estimates and Serrin-type theorems. We further address the asymptotic behavior
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5bc4804e3968c8feb5a4a8968712ba7a
http://arxiv.org/abs/2111.06485
http://arxiv.org/abs/2111.06485
Publikováno v:
Stochastics. 92:1197-1222
In this paper we establish the existence of an invariant measure for a stochastic reaction–diffusion equation of the type d u = ( Δ u + f ( x , u ) ) d t + σ ( x , u ) d W ( x , t ) , where f and σ...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d24a5860f9c632e9847d5b2924ce859a
https://doi.org/10.1080/17442508.2019.1691212
https://doi.org/10.1080/17442508.2019.1691212
In this paper we consider a stochastic Keller-Segel type equation, perturbed with random noise. We establish that for special types of random pertubations (i.e. in a divergence form), the equation has a global weak solution for small initial data. Fu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::540cc49bd622c18bd1d5e5bc0884bec5
Publikováno v:
IEEE Sensors Journal. 17:1363-1372
We propose the use of electrostatic force feedback to control the effective mass, damping, or stiffness of micro electro mechanical system (MEMS). Our analysis suggests that if feedback force is proportional to sensed displacement, velocity, or accel
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d8da8859a82f7c8386616ce019a8fd09
https://doi.org/10.1109/jsen.2016.2640290
https://doi.org/10.1109/jsen.2016.2640290
We study the singular perturbation of an elastic energy with a singular weight. The minimization of this energy results in a multi-scale pattern formation. We derive an energy scaling law in terms of the perturbation parameter and prove that, althoug
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e932bb22afe0e1d068fc899be8596909