Luisa Arlotti's Books

Perturbations of Positive Semigroups with Applications

By: Jacek Banasiak,Luisa Arlotti

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Perturbations of Positive Semigroups with Applications

By: Jacek Banasiak,Luisa Arlotti

This book deals mainly with modelling systems that change with time. The evolution equations that it describes can be found in a number of application areas, such as kinetics, fragmentation theory and mathematical biology. This will be the first self-contained account of the area.

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Page Count

443

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1846281539

ISBN 13

9781846281532

Generalized Kinetic Models in Applied Sciences

Lecture Notes on Mathematical Problems

By: Luisa Arlotti

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Generalized Kinetic Models in Applied Sciences

Lecture Notes on Mathematical Problems

By: Luisa Arlotti

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Page Count

224

Publisher

World Scientific

Published Date

ISBN 10

9812385606

ISBN 13

9789812385604

Lecture Notes on the Mathematical Theory of the Boltzmann Equation

By: N. Bellomo,L. Arlotti

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Lecture Notes on the Mathematical Theory of the Boltzmann Equation

By: N. Bellomo,L. Arlotti

This is a collection of four lectures on some mathematical aspects related to the nonlinear Boltzmann equation. The following topics are dealt with: derivation of kinetic equations, qualitative analysis of the initial value problem, singular perturbation analysis towards the hydrodynamic limit and computational methods towards the solution of problems in fluid dynamics.

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Page Count

276

Publisher

World Scientific

Published Date

ISBN 10

9810221665

ISBN 13

9789810221669

Generalized Kinetic Models in Applied Sciences

Lecture Notes on Mathematical Problems

By: Luisa Arlotti

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Generalized Kinetic Models in Applied Sciences

Lecture Notes on Mathematical Problems

By: Luisa Arlotti

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Page Count

224

Publisher

World Scientific

Published Date

ISBN 10

9812385606

ISBN 13

9789812385604

Perturbations of Positive Semigroups with Applications

By: Jacek Banasiak,Luisa Arlotti

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Perturbations of Positive Semigroups with Applications

By: Jacek Banasiak,Luisa Arlotti

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Page Count

438

Publisher

Springer

Published Date

ISBN 10

1848008902

ISBN 13

9781848008908

Generalized Kinetic Models In Applied Sciences: Lecture Notes On Mathematical Problems

By: Luisa Arlotti,Nicola Bellomo,Elena De Angelis,Miroslaw Lachowicz

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Generalized Kinetic Models In Applied Sciences: Lecture Notes On Mathematical Problems

By: Luisa Arlotti,Nicola Bellomo,Elena De Angelis,Miroslaw Lachowicz

This book deals with analytic problems related to some developments and generalizations of the Boltzmann equation toward the modeling and qualitative analysis of large systems that are of interest in applied sciences. These generalizations are documented in the various surveys edited by Bellomo and Pulvirenti with reference to models of granular media, traffic flow, mathematical biology, communication networks, and coagulation models.The above literature motivates applied mathematicians to study the Cauchy problem and to develop an asymptotic analysis for models regarded as developments of the Boltzmann equation. This book aims to initiate the research plan by the analyzing afore mentioned analysis problems.The first generalization dealt with refers to the averaged Boltzmann equation, which is obtained by suitable averaging of the distribution function of the field particles into the action domain of the test particle. This model is further developed to describe equations with dissipative collisions and a class of models that are of interest in mathematical biology. In this latter case the state of the particles is defined not only by a mechanical variable but also by a biological microscopic state.The book is essentially devoted to analytic aspects and deals with the analysis of the Cauchy problem and with the development of an asymptotic theory to obtain the macroscopic description from the mesoscopic one.

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Page Count

220

Publisher

World Scientific Publishing Company

Published Date

ISBN 10

9813106174

ISBN 13

9789813106178

Perturbations of Positive Semigroups with Applications

By: Jacek Banasiak,Luisa Arlotti

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Perturbations of Positive Semigroups with Applications

By: Jacek Banasiak,Luisa Arlotti

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N/A

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Solve jigsaw puzzle

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Page Count

443

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1846281539

ISBN 13

9781846281532

Book's by Luisa Arlotti

Perturbations of Positive Semigroups with Applications

Perturbations of Positive Semigroups with Applications

Generalized Kinetic Models in Applied Sciences

Generalized Kinetic Models in Applied Sciences

Lecture Notes on the Mathematical Theory of the Boltzmann Equation

Lecture Notes on the Mathematical Theory of the Boltzmann Equation

Generalized Kinetic Models in Applied Sciences

Generalized Kinetic Models in Applied Sciences

Perturbations of Positive Semigroups with Applications

Perturbations of Positive Semigroups with Applications

Generalized Kinetic Models In Applied Sciences: Lecture Notes On Mathematical Problems

Generalized Kinetic Models In Applied Sciences: Lecture Notes On Mathematical Problems

Perturbations of Positive Semigroups with Applications

Perturbations of Positive Semigroups with Applications

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