Zobrazeno 1 - 10
of 20
pro vyhledávání: '"Mariapia Palombaro"'
Publikováno v:
Discrete & Continuous Dynamical Systems - S. 10:119-139
In the context of nanowire heterostructures we perform a discrete to continuum limit of the corresponding free energy by means of $\Gamma$-convergence techniques. Nearest neighbours are identified by employing the notions of Voronoi diagrams and Dela
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::20fca917a5109c07a38757fefab49d9e
https://doi.org/10.3934/dcdss.2017007
https://doi.org/10.3934/dcdss.2017007
In this paper we show the emergence of polycrystalline structures as a result of elastic energy minimization. For this purpose, we consider a well-known variational model for two-dimensional system...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::516f640fa302c80dc99cfbc40974aed6
http://hdl.handle.net/11697/145246
http://hdl.handle.net/11697/145246
Publikováno v:
Archive for Rational Mechanics and Analysis
Linear elasticity can be rigorously derived from finite elasticity under the assumption of small loadings in terms of Gamma-convergence. This was first done in the case of one-well energies with super-quadratic growth and later generalised to differe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e904aa59f29e65f74ebbf010349dc905
http://hdl.handle.net/2158/1149041
http://hdl.handle.net/2158/1149041
We study continuum limits of discrete models for (possibly heterogeneous) nanowires. The lattice energy includes at least nearest and next-to-nearest neighbour interactions: the latter have the role of penalising changes of orientation. In the hetero
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::389e6c7705e61910ea58ab68227bcdf3
http://hdl.handle.net/11580/69781
http://hdl.handle.net/11580/69781
Publikováno v:
Portugaliae Mathematica. 72:119-123
We give a direct proof that the group velocities of \ud Bloch wave packet solutions of periodic second order \ud wave equations cannot exceed the maximal speed of propagation of the periodic wave equation.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ad4512607ae6f3e07c1e0b217c01956a
https://doi.org/10.4171/pm/1960
https://doi.org/10.4171/pm/1960
Autor:
Silvio Fanzon, Mariapia Palombaro
We study the higher gradient integrability of distributional solutions $u$ to the equation $div(\sigma \nabla u) = 0$ in dimension two, in the case when the essential range of $\sigma$ consists of only two elliptic matrices, i.e., $\sigma\in\{\sigma_
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::379a08bfbdc34ca3f09da5dea7af97d3
http://arxiv.org/abs/1703.07298
http://arxiv.org/abs/1703.07298
We propose and analyze a simple variational model for dislocations at semi-coherent interfaces. The energy functional describes the competition between two terms: a surface energy induced by dislocations and a bulk elastic energy, spent to decrease t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b17b4c099ede5c5ffcf4ecb2fed4019f
http://hdl.handle.net/11573/979565
http://hdl.handle.net/11573/979565
Publikováno v:
PAMM. 13:541-544
We discuss an atomistic model for heterogeneous nanowires, allowing for dislocations at the interface. We study the limit as the atomic distance converges to zero, considering simultaneously a dimension reduction and the passage from discrete to cont
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::45246b0af6a242a9a0ea24f5f616bea0
https://doi.org/10.1002/pamm.201310260
https://doi.org/10.1002/pamm.201310260
Publikováno v:
Archive for Rational Mechanics and Analysis. 202:373-426
We study, for times of order \({1/\varepsilon}\), solutions of wave equations which are \({\fancyscript{O}(\varepsilon^2)}\) modulations of an \({\varepsilon}\) periodic wave equation. The solutions are of slowly varying amplitude type built on Bloch
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a6ff6ccc305eaface9935ebf0cff85e1
https://doi.org/10.1007/s00205-011-0452-9
https://doi.org/10.1007/s00205-011-0452-9
Publikováno v:
Archive for Rational Mechanics and Analysis. 194:775-822
We fully characterize quasiconvex hulls for three arbitrary solenoidal (divergence free) wells in dimension three. With this aim we establish weak lower semicontinuity of certain functionals with integrands restricted to generic two-dimensional plane
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c3b063c43899043580330b948803620f
https://doi.org/10.1007/s00205-008-0204-7
https://doi.org/10.1007/s00205-008-0204-7