Uniqueness And Stability In Determining A Rigid Inclusion In An Elastic Body
DOWNLOAD
Download Uniqueness And Stability In Determining A Rigid Inclusion In An Elastic Body PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Uniqueness And Stability In Determining A Rigid Inclusion In An Elastic Body book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Uniqueness And Stability In Determining A Rigid Inclusion In An Elastic Body
DOWNLOAD
Author : Antonino Morassi
language : en
Publisher: American Mathematical Soc.
Release Date : 2009-06-05
Uniqueness And Stability In Determining A Rigid Inclusion In An Elastic Body written by Antonino Morassi and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-05 with Mathematics categories.
The authors consider the inverse problem of determining a rigid inclusion inside an isotropic elastic body $\Omega$, from a single measurement of traction and displacement taken on the boundary of $\Omega$. For this severely ill-posed problem they prove uniqueness and a conditional stability estimate of log-log type.
Uniqueness And Stability In Determining A Rigid Inclusion In An Elastic Body
DOWNLOAD
Author : Antonino Morassi
language : en
Publisher: American Mathematical Society(RI)
Release Date : 2014-09-11
Uniqueness And Stability In Determining A Rigid Inclusion In An Elastic Body written by Antonino Morassi and has been published by American Mathematical Society(RI) this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-11 with MATHEMATICS categories.
An Elastic Model For Volcanology
DOWNLOAD
Author : Andrea Aspri
language : en
Publisher: Springer Nature
Release Date : 2019-11-08
An Elastic Model For Volcanology written by Andrea Aspri and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-08 with Mathematics categories.
This monograph presents a rigorous mathematical framework for a linear elastic model arising from volcanology that explains deformation effects generated by inflating or deflating magma chambers in the Earth’s interior. From a mathematical perspective, these modeling assumptions manifest as a boundary value problem that has long been known by researchers in volcanology, but has not, until now, been given a thorough mathematical treatment. This mathematical study gives an explicit formula for the solution of the boundary value problem which generalizes the few well-known, explicit solutions found in geophysics literature. Using two distinct analytical approaches—one involving weighted Sobolev spaces, and the other using single and double layer potentials—the well-posedness of the elastic model is proven. An Elastic Model for Volcanology will be of particular interest to mathematicians researching inverse problems, as well as geophysicists studying volcanology.
Systems Control Modeling And Optimization
DOWNLOAD
Author : F. Ceragioli
language : en
Publisher: Springer
Release Date : 2006-10-31
Systems Control Modeling And Optimization written by F. Ceragioli and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-10-31 with Technology & Engineering categories.
We publish in this volume a selection of the papers presented at the 22nd Conference on System Modeling and Optimization, held at the Politecnico di Torino in July 2005. The conference has been organized by the Mathematical Department of the Politecnico di Torino. The papers presented in this volume mostly concern stochastic and distributed systems, their control/optimization and inverse problems. IFIP is a multinational federation of professional and technical organiza tions concerned with information processes. It was established in 1959 under the auspices of UNESCO. IFIP still mantains friendly connections with spe cialized agencies of the UN systems. It consists of Technical Committees. The Seventh Technical Committee, established in 1972, was created in 1968 by A.V. Balakrishnan, J.L. Lions and G.I. Marchuk with a joint conference held in Sanremo and Novosibirsk. The present edition of the conference is dedicated to Camillo Possio, killed by a bomb during the last air raid overTorino, in the sixtieth anniversary of his death. The special session "On the Possio equation and its special role in aeroelasticity" was devoted to his achievements. The special session "Shape Analysis and optimization" commemorates the 100th anniversary of Pompeiu thesis.
Spectral Geometry And Inverse Scattering Theory
DOWNLOAD
Author : Huaian Diao
language : en
Publisher: Springer Nature
Release Date : 2023-09-29
Spectral Geometry And Inverse Scattering Theory written by Huaian Diao and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-29 with Mathematics categories.
Inverse scattering problems are a vital subject for both theoretical and experimental studies and remain an active field of research in applied mathematics. This book provides a detailed presentation of typical setup of inverse scattering problems for time-harmonic acoustic, electromagnetic and elastic waves. Moreover, it provides systematical and in-depth discussion on an important class of geometrical inverse scattering problems, where the inverse problem aims at recovering the shape and location of a scatterer independent of its medium properties. Readers of this book will be exposed to a unified framework for analyzing a variety of geometrical inverse scattering problems from a spectral geometric perspective. This book contains both overviews of classical results and update-to-date information on latest developments from both a practical and theoretical point of view. It can be used as an advanced graduate textbook in universities or as a reference source for researchers in acquiring the state-of-the-art results in inverse scattering theory and their potential applications.
Unitary Invariants In Multivariable Operator Theory
DOWNLOAD
Author : Gelu Popescu
language : en
Publisher: American Mathematical Soc.
Release Date : 2009-06-05
Unitary Invariants In Multivariable Operator Theory written by Gelu Popescu and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-05 with Mathematics categories.
This paper concerns unitary invariants for $n$-tuples $T:=(T_1,\ldots, T_n)$ of (not necessarily commuting) bounded linear operators on Hilbert spaces. The author introduces a notion of joint numerical radius and works out its basic properties. Multivariable versions of Berger's dilation theorem, Berger-Kato-Stampfli mapping theorem, and Schwarz's lemma from complex analysis are obtained. The author studies the joint (spatial) numerical range of $T$ in connection with several unitary invariants for $n$-tuples of operators such as: right joint spectrum, joint numerical radius, euclidean operator radius, and joint spectral radius. He also proves an analogue of Toeplitz-Hausdorff theorem on the convexity of the spatial numerical range of an operator on a Hilbert space, for the joint numerical range of operators in the noncommutative analytic Toeplitz algebra $F_n^\infty$.
Lyapunov Exponents And Invariant Manifolds For Random Dynamical Systems In A Banach Space
DOWNLOAD
Author : Zeng Lian
language : en
Publisher: American Mathematical Soc.
Release Date : 2010
Lyapunov Exponents And Invariant Manifolds For Random Dynamical Systems In A Banach Space written by Zeng Lian and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.
The authors study the Lyapunov exponents and their associated invariant subspaces for infinite dimensional random dynamical systems in a Banach space, which are generated by, for example, stochastic or random partial differential equations. The authors prove a multiplicative ergodic theorem and then use this theorem to establish the stable and unstable manifold theorem for nonuniformly hyperbolic random invariant sets.
The Minimal Polynomials Of Unipotent Elements In Irreducible Representations Of The Classical Groups In Odd Characteristic
DOWNLOAD
Author : Irina D. Suprunenko
language : en
Publisher: American Mathematical Soc.
Release Date : 2009-06-05
The Minimal Polynomials Of Unipotent Elements In Irreducible Representations Of The Classical Groups In Odd Characteristic written by Irina D. Suprunenko and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-05 with Mathematics categories.
The minimal polynomials of the images of unipotent elements in irreducible rational representations of the classical algebraic groups over fields of odd characteristic are found. These polynomials have the form $(t-1)^d$ and hence are completely determined by their degrees. In positive characteristic the degree of such polynomial cannot exceed the order of a relevant element. It occurs that for each unipotent element the degree of its minimal polynomial in an irreducible representation is equal to the order of this element provided the highest weight of the representation is large enough with respect to the ground field characteristic. On the other hand, classes of unipotent elements for which in every nontrivial representation the degree of the minimal polynomial is equal to the order of the element are indicated. In the general case the problem of computing the minimal polynomial of the image of a given element of order $p^s$ in a fixed irreducible representation of a classical group over a field of characteristic $p>2$ can be reduced to a similar problem for certain $s$ unipotent elements and a certain irreducible representation of some semisimple group over the field of complex numbers. For the latter problem an explicit algorithm is given. Results of explicit computations for groups of small ranks are contained in Tables I-XII. The article may be regarded as a contribution to the programme of extending the fundamental results of Hall and Higman (1956) on the minimal polynomials from $p$-solvable linear groups to semisimple groups.
Small Divisor Problem In The Theory Of Three Dimensional Water Gravity Waves
DOWNLOAD
Author : Grard Iooss
language : en
Publisher: American Mathematical Soc.
Release Date : 2009-06-05
Small Divisor Problem In The Theory Of Three Dimensional Water Gravity Waves written by Grard Iooss and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-05 with Science categories.
The authors consider doubly-periodic travelling waves at the surface of an infinitely deep perfect fluid, only subjected to gravity $g$ and resulting from the nonlinear interaction of two simply periodic travelling waves making an angle $2\theta$ between them. Denoting by $\mu =gL/c^{2}$ the dimensionless bifurcation parameter ( $L$ is the wave length along the direction of the travelling wave and $c$ is the velocity of the wave), bifurcation occurs for $\mu = \cos \theta$. For non-resonant cases, we first give a large family of formal three-dimensional gravity travelling waves, in the form of an expansion in powers of the amplitudes of two basic travelling waves. ``Diamond waves'' are a particular case of such waves, when they are symmetric with respect to the direction of propagation. The main object of the paper is the proof of existence of such symmetric waves having the above mentioned asymptotic expansion. Due to the occurence of small divisors, the main difficulty is the inversion of the linearized operator at a non trivial point, for applying the Nash Moser theorem. This operator is the sum of a second order differentiation along a certain direction, and an integro-differential operator of first order, both depending periodically of coordinates. It is shown that for almost all angles $\theta$, the 3-dimensional travelling waves bifurcate for a set of ``good'' values of the bifurcation parameter having asymptotically a full measure near the bifurcation curve in the parameter plane $(\theta,\mu ).$
Twisted Pseudodifferential Calculus And Application To The Quantum Evolution Of Molecules
DOWNLOAD
Author : Andr Martinez
language : en
Publisher: American Mathematical Soc.
Release Date : 2009-06-05
Twisted Pseudodifferential Calculus And Application To The Quantum Evolution Of Molecules written by Andr Martinez and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-05 with Mathematics categories.
The authors construct an abstract pseudodifferential calculus with operator-valued symbol, suitable for the treatment of Coulomb-type interactions, and they apply it to the study of the quantum evolution of molecules in the Born-Oppenheimer approximation, in the case of the electronic Hamiltonian admitting a local gap in its spectrum. In particular, they show that the molecular evolution can be reduced to the one of a system of smooth semiclassical operators, the symbol of which can be computed explicitely. In addition, they study the propagation of certain wave packets up to long time values of Ehrenfest order.