Searching for just a few words should be enough to get started. If you need to make more complex queries, use the tips below to guide you.
Purchase individual online access for 1 year to this journal.Price: EUR 420.00
Impact Factor 2019: 0.808
The journal Asymptotic Analysis fulfills a twofold function. It aims at publishing original mathematical results in the asymptotic theory of problems affected by the presence of small or large parameters on the one hand, and at giving specific indications of their possible applications to different fields of natural sciences on the other hand.
Asymptotic Analysis thus provides mathematicians with a concentrated source of newly acquired information which they may need in the analysis of asymptotic problems.
Article Type: Research Article
Abstract: We develop and investigate radiation conditions at infinity for composite piezo-elastic waveguides. The approach is based on the Mandelstam radiation principle according to which the energy flux at infinity is directed away from the source and which implies constraints on the (sign of the) group velocities. On the other side, the Sommerfeld radiation condition implies limitations on the wave phase velocity and is, in fact, not applicable in the context of piezo-elastic wave guides. We analyze the passage to the limit when the piezo-electric moduli tend to zero in certain regions yielding purely elastic inclusions there. We provide a number …of examples, e.g. elastic and acoustic waveguides as well as purely elastic insulating and conducting inclusions. Show more
Keywords: Piezo-electricity, piezo-elasticity, waveguide, asymptotic decomposition, detached asymptotics, Umov–Poynting vector, Mandelstam principle, Sommerfeld principle, limited absorption principle
Citation: Asymptotic Analysis, vol. 111, no. 2, pp. 69-111, 2019
Authors: Sambou, Diomba
Article Type: Research Article
Abstract: We consider Dirac, Pauli and Schrödinger quantum Hamiltonians with constant magnetic fields of full rank in L 2 ( R 2 d ) , d ⩾ 1 , perturbed by non-self-adjoint (matrix-valued) potentials. On the one hand, we show the existence of non-self-adjoint perturbations, generating near each point of the essential spectrum of the operators, infinitely many (complex) eigenvalues. On the other hand, we give asymptotic behaviours of the number of the (complex) eigenvalues. In particular, for compactly supported potentials, our results establish non-self-adjoint extensions of Raikov–Warzel [Rev. in Math. …Physics 14 (2002 ), 1051–1072] and Melgaard–Rozenblum [Commun. PDE. 28 (2003 ), 697–736] results. So, we show how the (complex) eigenvalues converge to the points of the essential spectrum asymptotically, i.e., up to a multiplicative explicit constant, as 1 d ! ( | ln r | ln | ln r | ) d , r ↘ 0 , in small annulus of radius r > 0 around the points of the essential spectrum. Show more
Keywords: Quantum magnetic Hamiltonians of full rank, non-self-adjoint (matrix-valued) perturbations, complex eigenvalues, Lieb–Thirring inequalities
Citation: Asymptotic Analysis, vol. 111, no. 2, pp. 113-136, 2019
Inspirees International (China Office)
Ciyunsi Beili 207(CapitaLand), Bld 1, 7-901
Free service line: 400 661 8717
Fax: +86 10 8446 7947
For editorial issues, like the status of your submitted paper or proposals, write to [email protected]
如果您在出版方面需要帮助或有任何建, 件至: [email protected]