Series on Advances in Mathematics for Applied Sciences: Generalized Kinetic Models in Applied Sciences (PDF)
Lecture Notes on Mathematical Problems
(Sprache: Englisch)
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...
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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 Editor 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...
Bibliographische Angaben
- Autoren: Nicola Bellomo , Miroslaw Lachowicz , Luisa Arlotti , Elena De Angelis
- 2003, Englisch
- ISBN-10: 9812795049
- ISBN-13: 9789812795045
- Erscheinungsdatum: 12.08.2003
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