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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| Year of Publication: | 2020 |
| Language: | English |
| Physical Description: | 1 electronic resource (208 p.) |
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(CKB)5400000000045374 (oapen)https://directory.doabooks.org/handle/20.500.12854/69160 (EXLCZ)995400000000045374 |
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Bianca, Carlo edt Mathematical and Numerical Analysis of Nonlinear Evolution Equations Advances and Perspectives Mathematical and Numerical Analysis of Nonlinear Evolution Equations Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2020 1 electronic resource (208 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier 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. English Research & information: general bicssc Mathematics & science bicssc boundedness delay Hopf bifurcation Lyapunov functional stability SEIQRS-V model kinetic theory integro-differential equations complex systems evolution equations thermostat nonequilibrium stationary states discrete Fourier transform discrete kinetic theory nonlinearity fractional operators Cahn–Hilliard systems well-posedness regularity optimal control necessary optimality conditions Schrödinger equation Davydov’s model partial differential equations exact solutions fractional derivative abstract Cauchy problem C0−semigroup inverse problem active particles autoimmune disease degenerate equations real activity variable Cauchy problem electric circuit equations wardoski contraction almost (s, q)—Jaggi-type b—metric-like spaces second-order differential equations dynamical systems compartment model epidemics basic reproduction number 3-03943-272-9 3-03943-273-7 Bianca, Carlo oth |
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English |
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eBook |
| author2 |
Bianca, Carlo |
| author_facet |
Bianca, Carlo |
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c b cb |
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Sonstige |
| title |
Mathematical and Numerical Analysis of Nonlinear Evolution Equations Advances and Perspectives |
| spellingShingle |
Mathematical and Numerical Analysis of Nonlinear Evolution Equations Advances and Perspectives |
| title_sub |
Advances and Perspectives |
| title_full |
Mathematical and Numerical Analysis of Nonlinear Evolution Equations Advances and Perspectives |
| title_fullStr |
Mathematical and Numerical Analysis of Nonlinear Evolution Equations Advances and Perspectives |
| title_full_unstemmed |
Mathematical and Numerical Analysis of Nonlinear Evolution Equations Advances and Perspectives |
| title_auth |
Mathematical and Numerical Analysis of Nonlinear Evolution Equations Advances and Perspectives |
| title_alt |
Mathematical and Numerical Analysis of Nonlinear Evolution Equations |
| title_new |
Mathematical and Numerical Analysis of Nonlinear Evolution Equations |
| title_sort |
mathematical and numerical analysis of nonlinear evolution equations advances and perspectives |
| publisher |
MDPI - Multidisciplinary Digital Publishing Institute |
| publishDate |
2020 |
| physical |
1 electronic resource (208 p.) |
| isbn |
3-03943-272-9 3-03943-273-7 |
| illustrated |
Not Illustrated |
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AT biancacarlo mathematicalandnumericalanalysisofnonlinearevolutionequationsadvancesandperspectives AT biancacarlo mathematicalandnumericalanalysisofnonlinearevolutionequations |
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(CKB)5400000000045374 (oapen)https://directory.doabooks.org/handle/20.500.12854/69160 (EXLCZ)995400000000045374 |
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cr |
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Mathematical and Numerical Analysis of Nonlinear Evolution Equations Advances and Perspectives |
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