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Noncoercive Variational Problems and Related Results

Noncoercive Variational Problems and Related Results PDF Author: Daniel Goeleven
Publisher: CRC Press
ISBN: 9780582304024
Category : Mathematics
Languages : en
Pages : 186

Book Description
In establishing a general theory of the existence of solutions for noncoercive variational problems and constrained problems formulated as variational inequalities or hemivariational inequalities, this Research Note illustrates recent mathematical approaches and results with various examples from mathematics and mechanics. The book unifies ideas for the treatment of various noncoercive problems and provides previously unpublished results for variational inequalities and hemivariational inequalities. The author points out important applications in mechanics and their mathfematical tratment using recession tools. This book will be of particular interest to researchers in pure and aplied mathematics and mechanics.

Noncoercive Variational Problems and Related Results

Noncoercive Variational Problems and Related Results PDF Author: Daniel Goeleven
Publisher: CRC Press
ISBN: 9780582304024
Category : Mathematics
Languages : en
Pages : 186

Book Description
In establishing a general theory of the existence of solutions for noncoercive variational problems and constrained problems formulated as variational inequalities or hemivariational inequalities, this Research Note illustrates recent mathematical approaches and results with various examples from mathematics and mechanics. The book unifies ideas for the treatment of various noncoercive problems and provides previously unpublished results for variational inequalities and hemivariational inequalities. The author points out important applications in mechanics and their mathfematical tratment using recession tools. This book will be of particular interest to researchers in pure and aplied mathematics and mechanics.

Navier-Stokes Equations

Navier-Stokes Equations PDF Author: Rodolfo Salvi
Publisher: CRC Press
ISBN: 9780582356436
Category : Mathematics
Languages : en
Pages : 364

Book Description
This volume contains the texts of selected lectures delivered at the "International Conference on Navier-Stokes Equations: Theory and Numerical Methods," held during 1997 in Varenna, Lecco (Italy). In recent years, the interest in mathematical theory of phenomena in fluid mechanics has increased, particularly from the point of view of numerical analysis. The book surveys recent developments in Navier-Stokes equations and their applications, and contains contributions from leading experts in the field. It will be a valuable resource for all researchers in fluid dynamics.

Integral Transforms, Reproducing Kernels and Their Applications

Integral Transforms, Reproducing Kernels and Their Applications PDF Author: Saburou Saitoh
Publisher: CRC Press
ISBN: 1000158047
Category : Mathematics
Languages : en
Pages : 300

Book Description
The general theories contained in the text will give rise to new ideas and methods for the natural inversion formulas for general linear mappings in the framework of Hilbert spaces containing the natural solutions for Fredholm integral equations of the first kind.

Real Analytic and Algebraic Singularities

Real Analytic and Algebraic Singularities PDF Author: Toshisumi Fukui
Publisher: CRC Press
ISBN: 9780582328747
Category : Mathematics
Languages : en
Pages : 236

Book Description
This book contains a collection of papers covering recent progress in a number of areas of singularity theory. Topics include blow analyticity, recent progress in the research on equivalence relations of maps and functions, sufficiency of jets, and the transversality theorem. . Geometric and analytic studies of partial differential equations have been developed independently of one another, but the shock wave solutions appearing in natural phenomena are not well understood. Singularity theory may unify these studies and a survey based on this viewpoint is presented in which a new notion of weak solution is introduced. There are also reports on the recent progress in Zariski's conjecture on multiplicities of hypersurfaces, transcendency of analytic sets and on the topology of weighted homogeneous polynomials. This book will be of particular interest to specialists in singularities, partial differential equations, algebraic geometry and control theory.

Integral Methods in Science and Engineering

Integral Methods in Science and Engineering PDF Author: Christian Constanda
Publisher: CRC Press
ISBN: 1000724484
Category : Mathematics
Languages : en
Pages : 252

Book Description
Based on proceedings of the International Conference on Integral Methods in Science and Engineering, this collection of papers addresses the solution of mathematical problems by integral methods in conjunction with approximation schemes from various physical domains. Topics and applications include: wavelet expansions, reaction-diffusion systems, variational methods , fracture theory, boundary value problems at resonance, micromechanics, fluid mechanics, combustion problems, nonlinear problems, elasticity theory, and plates and shells. Volume 1 covers Analytic Methods.

Inner Product Spaces and Applications

Inner Product Spaces and Applications PDF Author: T M Rassias
Publisher: CRC Press
ISBN: 9780582317116
Category : Mathematics
Languages : en
Pages : 284

Book Description
In this volume, the contributing authors deal primarily with the interaction among problems of analysis and geometry in the context of inner product spaces. They present new and old characterizations of inner product spaces among normed linear spaces and the use of such spaces in various research problems of pure and applied mathematics. The methods employed are accessible to students familiar with normed linear spaces. Some of the theorems presented are at the same time simple and challenging.

Ordinary and Partial Differential Equations

Ordinary and Partial Differential Equations PDF Author: P Smith
Publisher: CRC Press
ISBN: 9780582305892
Category : Mathematics
Languages : en
Pages : 164

Book Description
These conference proceedings include papers by a number of experts with a common interest in differential equations and their application in physical and biological systems. Topics covered include direct and inverse electromagnetic scattering techniques, spatial epidemic models, wound healing, chemotaxis and reaction-diffusion equations, dynamics and stability of thin liquid films, and a contemporary formulation of symmetric linear differential equations.

Numerical Methods in Mechanics

Numerical Methods in Mechanics PDF Author: Carlos Conca
Publisher: CRC Press
ISBN: 9780582313200
Category : Mathematics
Languages : en
Pages : 196

Book Description
This volume contains the invited papers given at the Fourth French-Latin American Congress on Applied Mathematics. New numerical techniques in fluid and solid mechanics were presented.

Functional Analysis with Current Applications in Science, Technology and Industry

Functional Analysis with Current Applications in Science, Technology and Industry PDF Author: Martin Brokate
Publisher: CRC Press
ISBN: 9780582312609
Category : Mathematics
Languages : en
Pages : 136

Book Description
This volume constitutes the proceedings of a conference on functional analysis and its applications, which took place in India during December 1996. Topics include topological vector spaces, Banach algebras, meromorphic functions, partial differential equations, variational equations and inequalities, optimization, wavelets, elastroplasticity, numerical integration, fractal image compression, reservoir simulation, forest management, and industrial maths.

Classical and Quantic Periodic Motions of Multiply Polarized Spin-Particles

Classical and Quantic Periodic Motions of Multiply Polarized Spin-Particles PDF Author: Abbas Bahri
Publisher: CRC Press
ISBN: 9780582327498
Category : Mathematics
Languages : en
Pages : 340

Book Description
:The author of this volume defines a diffusion flow for a variational problem lacking completeness related to the geometry of a contact form a a and a vector field u in its kernel. He analyzes the ends of the flow lines and finds them to be of two types: one involving periodic orbits of the Reeb (Hamiltonian) vector field x, and the other where asymptotes occur. In the most general case these turn out to be periodic motions for x up to quantic jumps of a very special type along u. He shows that the mathematical results and the physical interpretation fit and provide new points of view useful in the foundations of quantum mechanics.