Mathematical and Numerical Analysis of Nonlinear Evolution Equations : Advances and Perspectives
The topic of this book is the mathematical and numerical analysis of some recent frameworks based on differential equations and their application in the mathematical modeling of complex systems, especially of living matter. First, the recent new mathematical frameworks based on generalized kinetic t...
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| Format: | Book Chapter |
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Basel, Switzerland
MDPI - Multidisciplinary Digital Publishing Institute
2020
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| Online Access: | Get Fullteks DOAB: description of the publication |
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| LEADER | 03714naaaa2200817uu 4500 | ||
|---|---|---|---|
| 001 | doab_20_500_12854_69160 | ||
| 005 | 20210501 | ||
| 020 | |a books978-3-03943-273-8 | ||
| 020 | |a 9783039432721 | ||
| 020 | |a 9783039432738 | ||
| 024 | 7 | |a 10.3390/books978-3-03943-273-8 |c doi | |
| 041 | 0 | |a English | |
| 042 | |a dc | ||
| 072 | 7 | |a GP |2 bicssc | |
| 072 | 7 | |a P |2 bicssc | |
| 100 | 1 | |a Bianca, Carlo |4 edt | |
| 700 | 1 | |a Bianca, Carlo |4 oth | |
| 245 | 1 | 0 | |a Mathematical and Numerical Analysis of Nonlinear Evolution Equations : Advances and Perspectives |
| 260 | |a Basel, Switzerland |b MDPI - Multidisciplinary Digital Publishing Institute |c 2020 | ||
| 300 | |a 1 electronic resource (208 p.) | ||
| 506 | 0 | |a Open Access |2 star |f Unrestricted online access | |
| 520 | |a The topic of this book is the mathematical and numerical analysis of some recent frameworks based on differential equations and their application in the mathematical modeling of complex systems, especially of living matter. First, the recent new mathematical frameworks based on generalized kinetic theory, fractional calculus, inverse theory, Schrödinger equation, and Cahn-Hilliard systems are presented and mathematically analyzed. Specifically, the well-posedness of the related Cauchy problems is investigated, stability analysis is also performed (including the possibility to have Hopf bifurcations), and some optimal control problems are presented. Second, this book is concerned with the derivation of specific models within the previous mentioned frameworks and for complex systems in biology, epidemics, and engineering. This book is addressed to graduate students and applied mathematics researchers involved in the mathematical modeling of complex systems. | ||
| 540 | |a Creative Commons |f https://creativecommons.org/licenses/by/4.0/ |2 cc |4 https://creativecommons.org/licenses/by/4.0/ | ||
| 546 | |a English | ||
| 650 | 7 | |a Research & information: general |2 bicssc | |
| 650 | 7 | |a Mathematics & science |2 bicssc | |
| 653 | |a boundedness | ||
| 653 | |a delay | ||
| 653 | |a Hopf bifurcation | ||
| 653 | |a Lyapunov functional | ||
| 653 | |a stability | ||
| 653 | |a SEIQRS-V model | ||
| 653 | |a kinetic theory | ||
| 653 | |a integro-differential equations | ||
| 653 | |a complex systems | ||
| 653 | |a evolution equations | ||
| 653 | |a thermostat | ||
| 653 | |a nonequilibrium stationary states | ||
| 653 | |a discrete Fourier transform | ||
| 653 | |a discrete kinetic theory | ||
| 653 | |a nonlinearity | ||
| 653 | |a fractional operators | ||
| 653 | |a Cahn-Hilliard systems | ||
| 653 | |a well-posedness | ||
| 653 | |a regularity | ||
| 653 | |a optimal control | ||
| 653 | |a necessary optimality conditions | ||
| 653 | |a Schrödinger equation | ||
| 653 | |a Davydov's model | ||
| 653 | |a partial differential equations | ||
| 653 | |a exact solutions | ||
| 653 | |a fractional derivative | ||
| 653 | |a abstract Cauchy problem | ||
| 653 | |a C0−semigroup | ||
| 653 | |a inverse problem | ||
| 653 | |a active particles | ||
| 653 | |a autoimmune disease | ||
| 653 | |a degenerate equations | ||
| 653 | |a real activity variable | ||
| 653 | |a Cauchy problem | ||
| 653 | |a electric circuit equations | ||
| 653 | |a wardoski contraction | ||
| 653 | |a almost (s, q)-Jaggi-type | ||
| 653 | |a b-metric-like spaces | ||
| 653 | |a second-order differential equations | ||
| 653 | |a dynamical systems | ||
| 653 | |a compartment model | ||
| 653 | |a epidemics | ||
| 653 | |a basic reproduction number | ||
| 856 | 4 | 0 | |a www.oapen.org |u https://mdpi.com/books/pdfview/book/2932 |7 0 |z Get Fullteks |
| 856 | 4 | 0 | |a www.oapen.org |u https://directory.doabooks.org/handle/20.500.12854/69160 |7 0 |z DOAB: description of the publication |