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Biomathematics --- 51-76 --- 57 --- 51 --- 577 --- Mathematics--?-76 --- Biologische wetenschappen in het algemeen. Biologie --- Mathematics --- 51 Mathematics --- 51-76 Mathematics--?-76 --- Biomathematics. --- Biomathematique --- Biologie --- Methodes mathematiques

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51-76 --- Biomathematics --- Physiology --- -Population biology --- -Biology --- Ecology --- Animal physiology --- Animals --- Biology --- Anatomy --- Mathematics --- 51-76 Mathematics--?-76 --- Mathematics--?-76 --- Population biology --- Biomathematics. Biometry. Biostatistics --- Stochastic processes --- Human medicine --- Mathematics. --- Models, Biological. --- Biomathématiques --- methods. --- Population biology - Mathematics --- Physiology - Mathematics

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Econometrics --- 51-76 --- 330.115 --- #ECO:01.15:economie statistiek evolutie previsie --- 681.3*J4 --- Economics, Mathematical --- Statistics --- Mathematics--?-76 --- Econometrie --- Social and behavioral sciences (Computer applications) --- 681.3*J4 Social and behavioral sciences (Computer applications) --- 330.115 Econometrie --- 51-76 Mathematics--?-76

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The proceedings of the Second US-Italy Seminar on Variable Structure Systems is published in this volume. Like the first seminar, its conception evolved from common research interests on bilinear systems at the Istituto di Automatica of Rome University and at the Electrical and Computer Engineering Department of Oregon State University. Again, the seminar was focused on variable structure systems in general. In this case, however, emphasis is given to applications in biology and economics along with theoretical investi­ gations which are so necessary to establish a unified theory and to motivate further developments in these applications of social significance. By bringing together the talents of social and biological scientists with those of engineers and mathematicians from throughout Italy and the United States, the seminar was intended to yield a cross-pollination of significant results and a base for more meaningful future research. The editors are encouraged by the progress, with which they hope the reader will agree, is made in this direction. No pretense is made, however, that completely satisfactory integration of theore­ tical results and applications has been accomplished at this time. Among the more important conclusions which have resulted from this seminar are that bilinear and more general variable structure models arise in a natural manner from basic principles for certain biological and economic processes.

Mathematical control systems --- Biomathematics. Biometry. Biostatistics --- Quantitative methods (economics) --- Information Science --- Natural Science Disciplines --- Disciplines and Occupations --- Mathematics --- Systems Analysis --- 51-76 --- Biology --- -System analysis --- -Economics, Mathematical --- -Economics --- Mathematical economics --- Econometrics --- Economics --- Network theory --- Systems analysis --- System theory --- Mathematical optimization --- Life sciences --- Biomass --- Life (Biology) --- Natural history --- Mathematics--?-76 --- Congresses --- Methodology --- -Mathematics--?-76 --- 51-76 Mathematics--?-76 --- Economics, Mathematical --- System analysis --- Biologie --- Mathématiques économiques --- Analyse de systèmes --- congresses --- Congrès --- Economics, mathematical --- Congresses. --- congresses. --- Systèmes, Théorie des

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The book provides a comprehensive, detailed and self-contained treatment of the fundamental mathematical properties of boundary-value problems related to the Navier-Stokes equations. These properties  include existence, uniqueness and regularity of solutions in bounded as well as unbounded domains. Whenever the domain is unbounded, the asymptotic behavior of solutions  is also investigated. This book is the new edition of the original two volume book, under the same title, published in 1994. In this new edition, the two volumes have merged into one and two more chapters on steady generalized oseen flow in exterior domains and steady Navier–Stokes flow in three-dimensional exterior domains have been added. Most of the proofs given in the previous edition were also updated. An introductory first chapter describes all relevant questions treated in the book and lists and motivates a number of significant and still open questions. It is written in an expository style so as to be accessible also to  non-specialists. Each chapter is preceded by a substantial, preliminary discussion of the problems treated, along with their motivation and the strategy used to solve them. Also, each chapter ends with a section dedicated to alternative approaches and procedures, as well as historical notes. The book contains more than 400 stimulating exercises, at different levels of difficulty, that will help the junior researcher and the graduate student to gradually become accustomed with the subject. Finally, the book is endowed with a vast bibliography that includes more than 500 items. Each item brings a reference to the section of the book where it is cited.   The book will be useful to researchers and graduate students in mathematics in particular mathematical fluid mechanics and differential equations.   Review of First Edition, First Volume: “The emphasis of this book is on an introduction to the mathematical theory of the stationary Navier-Stokes equations. It is written in the style of a textbook and is essentially self-contained. The problems are presented clearly and in an accessible manner. Every chapter begins with a good introductory discussion of the problems considered, and ends with interesting notes on different approaches developed in the literature. Further, stimulating exercises are proposed. (Mathematical Reviews, 1995).

Partial differential equations --- Differential equations --- Mathematics --- Fluid mechanics --- differentiaalvergelijkingen --- toegepaste wiskunde --- ingenieurswetenschappen --- vloeistoffen --- Ecology - Mathematical models --- Diffusion - Mathematical models --- Biogeography - Mathematical models --- Biogeography --- Diffusion --- Ecology --- Mathematical models. --- 519.8 --- 51-76 --- 681.3*J3 --- 681.3*J3 Life and medical sciences (Computer applications) --- Life and medical sciences (Computer applications) --- 51-76 Mathematics--?-76 --- Mathematics--?-76 --- 519.8 Operational research --- Operational research --- Partial differential equations. --- Fluid mechanics. --- Applied mathematics. --- Engineering mathematics. --- Differential equations. --- Partial Differential Equations. --- Engineering Fluid Dynamics. --- Applications of Mathematics. --- Ordinary Differential Equations. --- Navier-Stokes equations. --- Lebesgue integral. --- Boundary value problems.