Analytic methods for coagulation-fragmentation models. Volume II /
Banasiak, J.,
Analytic methods for coagulation-fragmentation models. Volume II / Jacek Banasiak, Wilson Lamb, Philippe Laurençot. - First edition. - 1 online resource (xvi, 322 pages). - Chapman & Hall/CRC Monographs and Research Notes in Mathematics .
6 Introduction to Volume II 7 Mathematical Toolbox II 8 Solvability of Coagulation-Fragmentation Equations 9 Gelation and Shattering 10 Long-Term Behaviour 11 Miscellanea
Analytic Methods for Coagulation-Fragmentation Models is a two-volume set that provides a comprehensive exposition of the mathematical analysis of coagulation-fragmentation models. Initially, an in-depth survey of coagulation-fragmentation processes is presented, together with an account of relevant early results obtained on the associated model equations. These provide motivation for the subsequent detailed treatment of more up-to-date investigations which have led to significant theoretical developments on topics such as solvability and the long-term behaviour of solutions. To make the account as self-contained as possible, the mathematical tools that feature prominently in these modern treatments are introduced at appropriate places. The main theme of Volume I is the analysis of linear fragmentation models, with Volume II devoted to processes that involve the nonlinear contribution of coagulation. Features of Volume II: A primer on weak compactness in L 1 and dynamical systems A comprehensive theory of solvability of the coagulation-fragmentation equation by both the semigroup and weak compactness methods, including a thorough analysis of the gelation and shattering phenomena A detailed analysis of the long-term dynamics of the coagulation-fragmentation equations with a state-of-the-art discussion on self-similar solutions
9780429280320 0429280327 9781000008159 1000008150 9781000014679 1000014673 9781000001310 1000001318
MATHEMATICS / General
MATHEMATICS / Mathematical Analysis
Coagulation.
Aggregation (Chemistry)
Semigroups.
Fragmentation reactions.
QD547 / .B36 2019
541/.3415015118
Analytic methods for coagulation-fragmentation models. Volume II / Jacek Banasiak, Wilson Lamb, Philippe Laurençot. - First edition. - 1 online resource (xvi, 322 pages). - Chapman & Hall/CRC Monographs and Research Notes in Mathematics .
6 Introduction to Volume II 7 Mathematical Toolbox II 8 Solvability of Coagulation-Fragmentation Equations 9 Gelation and Shattering 10 Long-Term Behaviour 11 Miscellanea
Analytic Methods for Coagulation-Fragmentation Models is a two-volume set that provides a comprehensive exposition of the mathematical analysis of coagulation-fragmentation models. Initially, an in-depth survey of coagulation-fragmentation processes is presented, together with an account of relevant early results obtained on the associated model equations. These provide motivation for the subsequent detailed treatment of more up-to-date investigations which have led to significant theoretical developments on topics such as solvability and the long-term behaviour of solutions. To make the account as self-contained as possible, the mathematical tools that feature prominently in these modern treatments are introduced at appropriate places. The main theme of Volume I is the analysis of linear fragmentation models, with Volume II devoted to processes that involve the nonlinear contribution of coagulation. Features of Volume II: A primer on weak compactness in L 1 and dynamical systems A comprehensive theory of solvability of the coagulation-fragmentation equation by both the semigroup and weak compactness methods, including a thorough analysis of the gelation and shattering phenomena A detailed analysis of the long-term dynamics of the coagulation-fragmentation equations with a state-of-the-art discussion on self-similar solutions
9780429280320 0429280327 9781000008159 1000008150 9781000014679 1000014673 9781000001310 1000001318
MATHEMATICS / General
MATHEMATICS / Mathematical Analysis
Coagulation.
Aggregation (Chemistry)
Semigroups.
Fragmentation reactions.
QD547 / .B36 2019
541/.3415015118