1,721,114 research outputs found
Ground states for the pseudo-relativistic Hartree equation with external potential
No full textWe prove the existence of positive ground state solutions to the pseudo-relativistic Schrödinger equation {equation presented}, where N ≥ 3, m > 0, V is a bounded external scalar potential and W is a radially symmetric convolution potential satisfying suitable assumptions. We also provide some asymptotic decay estimates of the found solutions
Interior spikes of a singularly perturbed Neumann problem with potentials
No full textAbstractIn this paper, we prove that a singularly perturbed Neumann problem with potentials admits the existence of interior spikes concentrating in maxima and minima of an auxiliary functional depending only on the potentials
Semiclassical analysis for pseudo-relativistic Hartree equations
No full textIn this paper we study the semiclassical limit for the pseudo-relativistic Hartree equation-ε2δ+m2u+Vu=(Iα*|u|p)|u|p-2u,in RN, where m>0, 2≤p<2NN-1, V:RN→R is an external scalar potential, Iα(x)=cN,α|x|N-α is a convolution kernel, cN,α is a positive constant and (N-1)p-N<α<N. For N=3, α=p=2, our equation becomes the pseudo-relativistic Hartree equation with Coulomb kerne
Multiple S^1-orbits for the Schrodinger-Newton system
No full textWe prove existence and multiplicity of symmetric solutions for the Schrodinger-Newton system in three-dimensional space using equivariant Morse theory
Atti della 2° Convention Nazionale del Gruppo di Acustica Edilizia, Firenze, 13 Dicembre 2010 e Proceedings of European Symposium of EAA TC-RBA and COST Action TU0901, 14 Dicembre 2010
No full textA 13 anni dall’emanazione del DPCM 5/12/97 sui requisiti acustici passivi degli edifici, la normativa italiana sta subendo una nuova e importante evoluzione che avrà forti ripercussioni sul settore edilizio e sulla qualità acustica degli edifici costruiti nei prossimi anni. L’ente italiano di normazione ha elaborato la nuova norma UNI 11367 del luglio 2010 che introduce la classificazione acustica degli edifici con importanti novità sia per la determinazione dell’incertezza di misura e di campionamento sia per la valutazione di casi particolari. Nel contempo il Ministero dell’Ambiente sta elaborando un nuovo testo legislativo che dovrà sostituire il DPCM 5/12/97, fino ad oggi unico riferimento in materia.
Durante la Convention del 13 dicembre sono stati presentati e discussi gli sviluppi sulla nuova legislazione e riportate le prime esperienze nazionali di applicazione della nuova norma sulla classificazione acustica degli edifici.
Nel Simposio del 14 dicembre, in cui sono intervenuti numerosi esperti europei in acustica edilizia, sono state presentate relazioni in lingua inglese con traduzione simultanea in lingua italiana, sul tema dell’armonizzazione delle norme sulla protezione acustica degli edifici.
The convention and symposium topics dealt with the evolution and harmonisation of national standards on sound insulation requirements in buildings.
Most European countries have legal requirements concerning the acoustic performance of buildings, although these widely differ in chosen performance descriptors and requirement levels. The harmonisation of descriptors and performance classes is necessary to stimulate innovation, support sustainability, reduce trade barriers between Member States and facilitate marketing. The symposium was held after nearly one year of activity of COST TU0901 and was the first opportunity to present and discuss the achievements for the first year. It was also an opportunity to present the expected results of the Action from a scientific point of view, and a fundamental step for the dissemination of this important initiative
Semiclassical analysis for pseudo-relativistic Hartree equations
Full text linkIn this paper we study the semiclassical limit for the pseudo-relativistic Hartree equation-ε2δ+m2u+Vu=(Iα*|u|p)|u|p-2u,in RN, where m>0, 2≤p<2NN-1, V:RN→R is an external scalar potential, Iα(x)=cN,α|x|N-α is a convolution kernel, cN,α is a positive constant and (N-1)p-
Cohesive fracture mechanics for a multi-phase porous medium
No full textThis paper presents a mathematical model for the analysis of cohesive fracture propagation through a non-homogeneous porous medium. Governing equations are stated within the frame of Biot's theory, accounting for the flow through the solid skeleton, along the fracture and across its sides toward the surrounding medium. The numerical solution is obtained in a 2D context, exploiting the capabilities of an efficient mesh generator, and requires continuous updating of the domain as the fractures enucleate and propagate. It results that fracture paths and their velocity of propagation, usually assumed as known, are supplied directly by the model without introducing any simplifying assumption
Ground states for the pseudo-relativistic Hartree equation with external potential
No full textWe prove the existence of positive ground state solutions to the pseudo-relativistic Schrödinger equation {equation presented}, where N ≥ 3, m > 0, V is a bounded external scalar potential and W is a radially symmetric convolution potential satisfying suitable assumptions. We also provide some asymptotic decay estimates of the found solutions
Multiple S^1-orbits for the Schrodinger-Newton system
No full textWe prove existence and multiplicity of symmetric solutions for the Schrodinger-Newton system in three-dimensional space using equivariant Morse theory
Semiclassical states for NLS equations with magnetic potentials having polynomial growths
Full text linkWe prove existence of standing wave solutions for a nonlinear Schrodinger equation on R-3 under the influence of an external magnetic field B. In particular we deal with the physically meaningful case of a constant magnetic field B=(0,0,b) having source in the potential A(x)=(b/2)(-x(2),x(1),0) corresponding to the Lorentz gauge
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