Mathematical and Numerical Analysis of Nonlinear Evolution Equations
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...
Wedi'i Gadw mewn:
| Fformat: | Online |
|---|---|
| Iaith: | Saesneg |
| Cyhoeddwyd: |
MDPI - Multidisciplinary Digital Publishing Institute
2021
|
| Pynciau: | |
| Mynediad Ar-lein: | ONIX_20210501_9783039432721_906 |
| Tagiau: |
Dim Tagiau, Byddwch y cyntaf i dagio'r cofnod hwn!
|
| _version_ | 1869526935822925824 |
|---|---|
| collection | Directory of Open Access Books |
| description | 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. |
| format | Online |
| id | doab-20.500.12854ir-69160 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2021 |
| publishDateRange | 2021 |
| publishDateSort | 2021 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
| record_format | ojs |
| spelling | doab-20.500.12854ir-691602024-03-28T03:32:26Z Mathematical and Numerical Analysis of Nonlinear Evolution Equations Bianca, Carlo 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 thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science 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. 2021-05-01T15:42:42Z 2021-05-01T15:42:42Z 2020 book ONIX_20210501_9783039432721_906 9783039432721 9783039432738 https://directory.doabooks.org/handle/20.500.12854/69160 eng application/octet-stream Attribution 4.0 International https://mdpi.com/books/pdfview/book/2932 https://mdpi.com/books/pdfview/book/2932 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-03943-273-8 10.3390/books978-3-03943-273-8 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783039432721 9783039432738 208 Basel, Switzerland open access |
| spellingShingle | 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 thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science Mathematical and Numerical Analysis of Nonlinear Evolution Equations |
| title | Mathematical and Numerical Analysis of Nonlinear Evolution Equations |
| title_full | Mathematical and Numerical Analysis of Nonlinear Evolution Equations |
| title_fullStr | Mathematical and Numerical Analysis of Nonlinear Evolution Equations |
| title_full_unstemmed | Mathematical and Numerical Analysis of Nonlinear Evolution Equations |
| title_short | Mathematical and Numerical Analysis of Nonlinear Evolution Equations |
| title_sort | mathematical and numerical analysis of nonlinear evolution equations |
| topic | 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 thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| topic_facet | 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 thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| url | ONIX_20210501_9783039432721_906 |