Books in the Lecture Notes in Pure and Applied Mathematics series

Discusses progress and some of the unresolved issues in two- and three-dimensional turbulence as well as scalar compressible turbulence. This title also discusses subrigid-scale modeling and hybrid methods involving a mix of Reynolds-averaged Navier - Stokes (RANS), large-eddy simulations (LES), and direct numerical simulations (DNS).

Presents the proceedings of the Third International Conference on Commutative Ring Theory held in Fez, Morocco. This title details the developments in commutative algebra and related areas. It examines wide-ranging developments in commutative algebra, together with connections to algebraic number theory and algebraic geometry.

Includes proceedings of the Second International Conference on Trends in Semigroup Theory and Evolution Equations held Sept 1989, Delft University of Technology, the Netherlands.

Contains papers presented at the 35th Taniguchi International Symposium held in Sanda and Kyoto, Japan. This work covers the developments concerning moduli spaces of vector bundles or instantons and their application. It covers an array of topics in both differential and algebraic geometry.

This important work provides a comprehensive overview of the properties of Banachspaces related to strict convexity and a survey of significant applications-uniting a wealthof information previously scattered throughout the mathematical literature in a well-organized,accessible format

Contains proceedings of Varenna 2000, the international conference on theory and numerical methods of the navier-Stokes equations, held in Villa Monastero in Varenna, Lecco, Italy. This title surveys a wide range of topics in fluid mechanics, including compressible, incompressible, and non-newtonian fluids, and hydrodynamic potential theory.

Presents the refereed proceedings of the Guangzhou International Symposium on Computational Mathematics, held at the Zhongshan University, People's Republic of China. This work examines numerical optimization methods, wavelet analysis, computational approximation, numerical solutions of differential and integral equations, and geometric modelling.

Reports and expands upon topics discussed at the International Conference on differential equations held in Colorado Springs, Colorado, June 1989. This work presents advances in control, oscillation, and stability theories, spanning a variety of subfields and covering evolution equations and differential inclusions.

One of the most important problems in the theory of entire functions is the distribution of the zeros of entire functions. This is the first book to provide a systematic exposition of the bounds for the zeros of entire functions and variations of zeros under perturbations. The book also offers a new approach for investigating entire functions based on recent estimates for the resolvents of compact operators. Along with describing applications to differential, functional differential, and difference equations, the author estimates the distance between the zeros of an entire function and its critical points as well as the distance between the zeros of the Taylor series and its tail.

A collection of research papers and surveys on algebra that are presented at the Conference on Groups, Rings, and Group Rings held in Ubatuba, Brazil. It familiarizes researchers with the topics, techniques, and methodologies in several branches of contemporary algebra. It examines broad themes from group theory and ring theory.

Based on papers presented at an international conference on algebra and algebraic geometry held jointly in Antwerp and Brussels, Belgium, this title presents both survey and research articles featuring various results from the intersection of algebra and geometry.

Featuring presentations from the Fourth International Conference on Commutative Algebra held in Fez, Morocco, this reference presents trends in the area of commutative algebra. It emphasizes applications and connections to algebraic number theory, geometry, and homological and computational algebra.

Integrates and summarizes the significant developments made by Chinese mathematicians in rings, groups, and algebras since the 1950s. This work examines topics in Hopf algebra, representation theory, semigroups, finite groups, homology algebra, module theory and valuation theory.

Covers topics in commutative and noncommutative ring extensions, especially those involving issues of separability, Galois theory, and cohomology.

Contains papers presented at the 27th Taniguchi International Symposium, held in Sanda, Japan. This title focuses on the study of moduli spaces of various geometric objects such as Einstein metrics, conformal structures, and Yang-Mills connections from algebraic and analytic points of view. It discusses topics in Kaehler geometry.

Contains 21 selected or consolidated papers presented at an international conference in April 1988 at Tunxi (Hunangshan), China.

Presents talks from the International Conference on Computers and Mathematics held on July 29 - August 1, 1986 at Stanford University. This title features some talks that are focused on the role of computers as a research tool in such areas as number theory, analysis, special functions, combinatorics, algebraic geometry, topology, and physics.

Includes proceedings of the Second International Conference on Trends in Semigroup Theory and Evolution Equations held Sept 1989, Delft University of Technology, the Netherlands.

Explains the modern theory of the method of averaging and provides an understanding of the results obtained when applying this theory. This book describes stability theory and Shtokalo's method, and examines various applications, including parametric resonance and the construction of asymptotics. It also explores nonlinear equations.

Based on the proceedings of the first International Conference on Matrix-Analytic Methods (MAM) in Stochastic Models, held in Flint, Michigan, this book presents a general working knowledge of MAM through tutorial articles and application papers. It furnishes information on MAM studies carried out in the former Soviet Union.

Suitable for industrial and applied mathematicians, analysts, and computer scientists, this title integrates two fields - asymptotic analysis and the numerical solution of partial differential equations - in 16 lectures from a February 1990 workshop at the Argonne National Laboratory, Illinois.

Discusses research topics on p-adic functional analysis and closely related areas. This title provides an overview of the main investigative fronts where developments are expected in the future.

This book provides a descriptive account of Mischa Cotlar's work along with a complete bibliography of his mathematical books and papers. It examines the harmonic analysis and operator theory in relation with the theory of partial differential equations.

Addressing algebraic problems found in biomathematics and energy, this book discusses moving boundary and boundary control in systems described by partial differential equations. It emphasizes numerical and theoretical control of moving boundaries in fluid structure couple systems, arteries, shape stabilization level methods, and boundary control.

Examines the invariant of Castelnuovo-Mumford regularity, blowup algebras, and bigraded rings. This work outlines the status of two conjectures: the lex-plus-power (LPP) conjecture and the multiplicity conjecture. It considers minimal free resolutions of integral subschemes and of equidimensional Cohen-Macaulay subschemes of small degree.