Positive Nonlinear Sem-Group Associated to a Class of Abstract Kinetic Models
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GRUNFELD, Cecil P.. Positive Nonlinear Sem-Group Associated to a Class of Abstract Kinetic Models. In: Conference on Applied and Industrial Mathematics: CAIM 2018, 20-22 septembrie 2018, Iași, România. Chișinău, Republica Moldova: Casa Editorial-Poligrafică „Bons Offices”, 2018, Ediţia a 26-a, p. 61. ISBN 978-9975-76-247-2.
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Conference on Applied and Industrial Mathematics
Ediţia a 26-a, 2018
Conferința "Conference on Applied and Industrial Mathematics"
Iași, România, Romania, 20-22 septembrie 2018

Positive Nonlinear Sem-Group Associated to a Class of Abstract Kinetic Models


Pag. 61-61

Grunfeld Cecil P.
 
"Gheorghe Mihoc - Caius Iacob" Institute of Mathematical Statistics and Applied Mathematics of Romanian Academy
 
 
Disponibil în IBN: 31 mai 2022


Rezumat

We introduce a positive nonlinear semi-group in an ordered space, associated to a class of evolution equations abstracting properties of known kinetic models of interest in applied mathematics and physics. We investigate the basic properties of the semi-group, in particular, its invariants and long-time behavior. In addition, discuss the usefulness of the results in some application examples, and also present some challenging open problems.