Search results for: evolution-equations-research-compendium

Evolution Equations Research Compendium

Author : Gaston M. N'Guerekata
File Size : 32.15 MB
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This book presents and discusses new developments in the study of evolution equations. Topics discussed include global attractors for semilinear parabolic equations with delays; exact controllability for the vibrating plate equation in a non smooth domain; weighted pseudo almost automorphic solutions for some partial functional differential equations in fading memory spaces; periodic solutions to the nonlinear parabolic equation; and infinite-time admissibility of observation operators for volterra systems.

Research on Evolution Equations Compendium

Author : Gaston M. N'Guerekata
File Size : 50.92 MB
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This book contains high-quality papers on the theory and methods of linear or non-linear evolutions as well as their further applications.

Research on Evolution Equations Compendium

Author : Gaston M. N'Guerekata
File Size : 65.57 MB
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Partially Integrable Evolution Equations in Physics

Author : R. Conte
File Size : 60.30 MB
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In the many physical phenomena ruled by partial differential equations, two extreme fields are currently overcrowded due to recent considerable developments: 1) the field of completely integrable equations, whose recent advances are the inverse spectral transform, the recursion operator, underlying Hamiltonian structures, Lax pairs, etc 2) the field of dynamical systems, often built as models of observed physical phenomena: turbulence, intermittency, Poincare sections, transition to chaos, etc. In between there is a very large region where systems are neither integrable nor nonintegrable, but partially integrable, and people working in the latter domain often know methods from either 1) or 2). Due to the growing interest in partially integrable systems, we decided to organize a meeting for physicists active or about to undertake research in this field, and we thought that an appropriate form would be a school. Indeed, some of the above mentioned methods are often adaptable outside their original domain and therefore worth to be taught in an interdisciplinary school. One of the main concerns was to keep a correct balance between physics and mathematics, and this is reflected in the list of courses.

Stem Cells Research Compendium

Author : Prasad S. Koka
File Size : 32.25 MB
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The two broad categories of mammalian stem cells exist: embryonic stem cells, derived from blastocysts, and adult stem cells, which are found in adult tissues. In a developing embryo, stem cells are able to differentiate into all of the specialised embryonic tissues. In adult organisms, stem cells and progenitor cells act as a repair system for the body, replenishing specialised cells. As stem cells can be readily grown and transformed into specialised tissues such as muscles or nerves through cell culture, their use in medical therapies has been proposed. In particular, embryonic cell lines, autologous embryonic stem cells generated therapeutic cloning, and highly plastic adult stem cells from the umbilical cord blood or bone marrow are touted as promising candidates. Among the many applications of stem cell research are nervous system diseases, diabetes, heart disease, autoimmune diseases as well as Parkinson's disease, end-stage kidney disease, liver failure, cancer, spinal cord injury, multiple sclerosis, and Alzheimer's disease. Stem cells are self-renewing, unspecialised cells that can give rise to multiple types all of specialised cells of the body. Stem cell research also involves complex ethical and legal considerations since they involve adult, foetal tissue and embryonic sources. This book presents leading research from around the world in this field which is of interest to so many and presents so many hopes.

Structural Engineering Compendium I

Author : Journal Editors
File Size : 20.33 MB
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This compendium is made up of a selection of the best and most representative papers from a group of Elsevier's structural engineering journals. Selections were made by the journal's editorial teams. The papers appeared in the following journals during 2000: Journal of Constructional Steel Research P.J. Dowling, J.E. Harding, R. Bjorhovde Thin Walled Structures J. Loughlan, K.P. Chong Engineering Structures P.L. Gould Computers and Structures K.J. Bathe, B.H.V. Topping Construction and Building Materials M.C. Forde Journal of Wind Engineering & Industrial Areodynamics N.P. Jones Marine Structures P.A. Frieze, A. Mansour, T. Yao Each paper appears in the same format as it was published in the journal; citations should be made using the original journal publication details. It is intended that this compendium will be the first in a series of such collections. A compendium has also been published in the area of geotechnical engineering.

Stochastic Evolution Equations

Author : Wilfried Grecksch
File Size : 47.54 MB
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The authors give a self-contained exposition of the theory of stochastic evolution equations. Elements of infinite dimensional analysis, martingale theory in Hilbert spaces, stochastic integrals, stochastic convolutions are applied. Existence and uniqueness theorems for stochastic evolution equations in Hilbert spaces in the sense of the semigroup theory, the theory of evolution operators, and monotonous operators in rigged Hilbert spaces are discussed. Relationships between the different concepts are demonstrated. The results are used to concrete stochastic partial differential equations like parabolic and hyperbolic Ito equations and random constitutive equations of elastic viscoplastic materials. Furthermore, stochastic evolution equations in rigged Hilbert spaces are approximated by time discretization methods.

A Compendium of Computational Fluid Dynamics at the Langley Research Center

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File Size : 65.18 MB
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Compendium of Research Reports

Author : United States. Department of Housing and Urban Development. Office of Policy Development and Research
File Size : 30.16 MB
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Nonlinear Evolution Equations and Painlev Test

Author : W.-H. Steeb
File Size : 31.5 MB
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This book is an edited version of lectures given by the authors at a seminar at the Rand Afrikaans University. It gives a survey on the Painlev‚ test, Painlev‚ property and integrability. Both ordinary differential equations and partial differential equations are considered.