Zobrazeno 1 - 10
of 71
pro vyhledávání: '"Patrizia Donato"'
Autor:
Bituin Cabarrubias, Patrizia Donato
Publikováno v:
Electronic Journal of Differential Equations, Vol 2016, Iss 169,, Pp 1-26 (2016)
This article concerns the asymptotic behavior of the wave and heat equations in periodically perforated domains with small holes and Dirichlet conditions on the boundary of the holes. In the first part we extend to time-dependent functions the per
Externí odkaz:
https://doaj.org/article/0a5a5bb6f649432988e38c31ded34f56
Autor:
Patrizia Donato
Publikováno v:
Rendiconti di Matematica e delle Sue Applicazioni, Vol 26, Iss 2, Pp 189-209 (2006)
In this paper we give some corrector results for a problem modelling the stationary heat diffusion in a conductor with two components, a connected one Ω^ε_1 and a disconnected one Ω^ε_2, consisting of ε-periodic connected components of size ε
Externí odkaz:
https://doaj.org/article/c1a3e0d2471b4747aa0bb3dc0bccef0d
Publikováno v:
Networks and Heterogeneous Media. 18:1236-1259
In this paper, we consider a class of elliptic problems in a periodically perforated domain with $ L^1 $ data and nonlinear Robin conditions on the boundary of the holes. Using the framework of renormalized solutions, which is well adapted to this si
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f31ae73f11341bf30c96bbe63c4d0940
https://doi.org/10.3934/nhm.2023054
https://doi.org/10.3934/nhm.2023054
Autor:
Patrizia Donato, Klas Pettersson
Publikováno v:
Mathematics and Mechanics of Complex Systems. 10:103-154
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7e0213b2627d568727d19c5c962623d6
https://doi.org/10.2140/memocs.2022.10.103
https://doi.org/10.2140/memocs.2022.10.103
Publikováno v:
Annali di Matematica Pura ed Applicata (1923 -). 201:1097-1137
In the present paper, we study the homogenization of a class of quasilinear elliptic problems in a two-component domain (one connected and the other a disconnected union of small sets) with a jump of the solution on the interface, proportional to the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a9a43c9df7f9245033c74875b9964569
https://doi.org/10.1007/s10231-021-01150-1
https://doi.org/10.1007/s10231-021-01150-1
Publikováno v:
Asymptotic Analysis. 122:395-402
In this paper we prove the existence of approximate controls for certain classes of parabolic problems with non-smooth coefficients and discuss as examples the problem of approximate controllability for the heat flow in heterogeneous media such as, p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::caeb080b6d63a946dc370a965f156316
https://doi.org/10.3233/asy-201623
https://doi.org/10.3233/asy-201623
Publikováno v:
Emerging Problems in the Homogenization of Partial Differential Equations ISBN: 9783030620295
This work concerns the asymptotic behaviour of the eigenvalues and eigenvectors of a problem posed on an e-periodic two-component domain with an imperfect interface. We obtain characterizations of the eigenvalues and give homogenization results using
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5dcc7de3d8694efacc649aef4448fe53
https://doi.org/10.1007/978-3-030-62030-1_5
https://doi.org/10.1007/978-3-030-62030-1_5
Autor:
Rheadel G. Fulgencio, Patrizia Donato
Publikováno v:
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. 100
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6d45cb860e0703bc9390357ca17e8096
https://doi.org/10.1002/zamm.202000065
https://doi.org/10.1002/zamm.202000065
We analyze the Helmholtz equation in a complex domain. A sound absorbing structure at a part of the boundary is modelled by a periodic geometry with periodicity $\varepsilon>0$. A resonator volume of thickness $\varepsilon$ is connected with thin cha
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1803e392e75a4cc5d82a3fc87c81e2f2
Publikováno v:
Archive of Applied Mechanics. 89:437-465
This paper is concerned with the well posedness and homogenization for a multiscale parabolic problem in a cylinder Q of $${\mathbb {R}}^N $$ . A rapidly oscillating non-smooth interface inside Q separates the cylinder in two heterogeneous connected
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e8865d3ff63aca7bf7e7050aae2eda0a
https://doi.org/10.1007/s00419-018-1415-5
https://doi.org/10.1007/s00419-018-1415-5