Carlo Marchioro's Books

Mathematical Theory of Incompressible Nonviscous Fluids

By: Carlo Marchioro,Mario Pulvirenti

Write a review Read reviews Take a Quiz Solve Book Puzzle

Mathematical Theory of Incompressible Nonviscous Fluids

By: Carlo Marchioro,Mario Pulvirenti

Fluid dynamics is an ancient science incredibly alive today. Modern technol ogy and new needs require a deeper knowledge of the behavior of real fluids, and new discoveries or steps forward pose, quite often, challenging and diffi cult new mathematical {::oblems. In this framework, a special role is played by incompressible nonviscous (sometimes called perfect) flows. This is a mathematical model consisting essentially of an evolution equation (the Euler equation) for the velocity field of fluids. Such an equation, which is nothing other than the Newton laws plus some additional structural hypo theses, was discovered by Euler in 1755, and although it is more than two centuries old, many fundamental questions concerning its solutions are still open. In particular, it is not known whether the solutions, for reasonably general initial conditions, develop singularities in a finite time, and very little is known about the long-term behavior of smooth solutions. These and other basic problems are still open, and this is one of the reasons why the mathe matical theory of perfect flows is far from being completed. Incompressible flows have been attached, by many distinguished mathe maticians, with a large variety of mathematical techniques so that, today, this field constitutes a very rich and stimulating part of applied mathematics.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

295

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461242843

ISBN 13

9781461242840

Mathematical Models of Viscous Friction

By: Paolo Buttà,Guido Cavallaro,Carlo Marchioro

Write a review Read reviews Take a Quiz Solve Book Puzzle

Mathematical Models of Viscous Friction

By: Paolo Buttà,Guido Cavallaro,Carlo Marchioro

In this monograph we present a review of a number of recent results on the motion of a classical body immersed in an infinitely extended medium and subjected to the action of an external force. We investigate this topic in the framework of mathematical physics by focusing mainly on the class of purely Hamiltonian systems, for which very few results are available. We discuss two cases: when the medium is a gas and when it is a fluid. In the first case, the aim is to obtain microscopic models of viscous friction. In the second, we seek to underline some non-trivial features of the motion. Far from giving a general survey on the subject, which is very rich and complex from both a phenomenological and theoretical point of view, we focus on some fairly simple models that can be studied rigorously, thus providing a first step towards a mathematical description of viscous friction. In some cases, we restrict ourselves to studying the problem at a heuristic level, or we present the main ideas, discussing only some aspects of the proof if it is prohibitively technical. This book is principally addressed to researchers or PhD students who are interested in this or related fields of mathematical physics.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

149

Publisher

Springer

Published Date

ISBN 10

3319147595

ISBN 13

9783319147598

Mathematics of Large Eddy Simulation of Turbulent Flows

By: Luigi Carlo Berselli,Traian Iliescu,William J. Layton

Write a review Read reviews Take a Quiz Solve Book Puzzle

Mathematics of Large Eddy Simulation of Turbulent Flows

By: Luigi Carlo Berselli,Traian Iliescu,William J. Layton

The LES-method is rapidly developing in many practical applications in engineering The mathematical background is presented here for the first time in book form by one of the leaders in the field

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

378

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540263160

ISBN 13

9783540263166

The Mathematical Theory of Dilute Gases

By: Carlo Cercignani,Reinhard Illner,Mario Pulvirenti

Write a review Read reviews Take a Quiz Solve Book Puzzle

The Mathematical Theory of Dilute Gases

By: Carlo Cercignani,Reinhard Illner,Mario Pulvirenti

The idea for this book was conceived by the authors some time in 1988, and a first outline of the manuscript was drawn up during a summer school on mathematical physics held in Ravello in September 1988, where all three of us were present as lecturers or organizers. The project was in some sense inherited from our friend Marvin Shinbrot, who had planned a book about recent progress for the Boltzmann equation, but, due to his untimely death in 1987, never got to do it. When we drew up the first outline, we could not anticipate how long the actual writing would stretch out. Our ambitions were high: We wanted to cover the modern mathematical theory of the Boltzmann equation, with rigorous proofs, in a complete and readable volume. As the years progressed, we withdrew to some degree from this first ambition- there was just too much material, too scattered, sometimes incomplete, sometimes not rigor ous enough. However, in the writing process itself, the need for the book became ever more apparent. The last twenty years have seen an amazing number of significant results in the field, many of them published in incom plete form, sometimes in obscure places, and sometimes without technical details. We made it our objective to collect these results, classify them, and present them as best we could. The choice of topics remains, of course, subjective.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

357

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1441985247

ISBN 13

9781441985248

The Relativistic Boltzmann Equation: Theory and Applications

By: Carlo Cercignani,Gilberto M. Kremer

Write a review Read reviews Take a Quiz Solve Book Puzzle

The Relativistic Boltzmann Equation: Theory and Applications

By: Carlo Cercignani,Gilberto M. Kremer

The aim of this book is to present the theory and applications of the relativistic Boltzmann equation in a self-contained manner, even for those readers who have no familiarity with special and general relativity. Though an attempt is made to present the basic concepts in a complete fashion, the style of presentation is chosen to be appealing to readers who want to understand how kinetic theory is used for explicit calculations. The book will be helpful not only as a textbook for an advanced course on relativistic kinetic theory but also as a reference for physicists, astrophysicists and applied mathematicians who are interested in the theory and applications of the relativistic Boltzmann equation.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

391

Publisher

Birkhäuser

Published Date

ISBN 10

3034881657

ISBN 13

9783034881654

Mathematical Models of Viscous Friction

By: Paolo Buttà,Guido Cavallaro,Carlo Marchioro

Write a review Read reviews Take a Quiz Solve Book Puzzle

Mathematical Models of Viscous Friction

By: Paolo Buttà,Guido Cavallaro,Carlo Marchioro

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

149

Publisher

Springer

Published Date

ISBN 10

3319147595

ISBN 13

9783319147598

Book's by Carlo Marchioro

Mathematical Theory of Incompressible Nonviscous Fluids

Mathematical Theory of Incompressible Nonviscous Fluids

Mathematical Models of Viscous Friction

Mathematical Models of Viscous Friction

Mathematics of Large Eddy Simulation of Turbulent Flows

Mathematics of Large Eddy Simulation of Turbulent Flows

The Mathematical Theory of Dilute Gases

The Mathematical Theory of Dilute Gases

The Relativistic Boltzmann Equation: Theory and Applications

The Relativistic Boltzmann Equation: Theory and Applications

Mathematical Models of Viscous Friction

Mathematical Models of Viscous Friction

Username

Password

Username

Password

Password again

Birthday

Email