Emerging concepts in evolution equations / Carolyn Murphy, editor.
Material type: TextSeries: Mathematics research developments seriesPublisher: New York : Nova Science Publishers, Inc., [2017]Description: 1 online resource (viii, 97 pages)Content type:- text
- computer
- online resource
- 9781536108736
- 1536108731
- Evolution equations
- Evolution equations, Nonlinear
- Differential equations, Partial
- Équations d'évolution
- Équations d'évolution non linéaires
- Équations aux dérivées partielles
- MATHEMATICS -- Calculus
- MATHEMATICS -- Mathematical Analysis
- Differential equations, Partial
- Evolution equations
- Evolution equations, Nonlinear
- 515/.35 23
- QA377.3 .E44 2017
Item type | Home library | Collection | Call number | Materials specified | Status | Date due | Barcode | |
---|---|---|---|---|---|---|---|---|
Electronic-Books | OPJGU Sonepat- Campus | E-Books EBSCO | Available |
Includes bibliographical references and index.
EMERGING CONCEPTS IN EVOLUTION EQUATIONS ; EMERGING CONCEPTS IN EVOLUTION EQUATIONS ; CONTENTS ; PREFACE; Chapter1THEEVOLUTIONEQUATIONOFLIE-TYPEFORFINITEDEFORMATIONSANDITSTIME-DISCRETEINTEGRATION; Abstract; 1. Introduction; 2. KinematicsofFiniteDeformation; 2.1. LieGroupofTransformations; 2.2. ConfigurationSpaceSym+(N)asaHomogeneousSpace; 2.3. LieAlgebrasgl(N)ando(N)andLieTripleSystemsym(N); 3. EvolutionEquationofLie-typeforFiniteDeformations; 3.1. GeometricalInterpretation; 3.2. SolvingStrategy; 4. EquationofLie-TypeontheLieAlgebra; 4.1. Equation@Ct=DTtCt+CtDt; 4.2. Equation@Ct=2Ut¡DtUt.
4.3. Equation@Ft=LtFt5. Runge-Kutta-Munthe-KaasMethod; 6. MagnusandFerExpansionMethod; 6.1. MagnusExpansionMethod; 6.2. FerExpansionMethod; Conclusion; References; Chapter2NEWAPPLICATIONSOFSYMMETRYANALYSISTONONLINEAREVOLUTIONEQUATIONS; Abstract; 1. Introduction; 2. ContactGroupClassificationofNonlinearEvolutionEquations:Semi-SimpleGroups; 2.1. AdmissibleTransformationsofEvolutionEquations; 2.2. EquationsInvariantunderSemi-SimpleLieAlgebras; 2.3. EquationsInvariantundertheAlgebrasHavingNontrivialLeviFactor; 2.3.1. DirectSumsofSemi-SimpleandSolvableLieAlgebras.
2.3.2. Semi-DirectSumsofSemi-SimpleandSolvableLieAlgebras3. SymmetriesandExactSolutionsoftheTimeFractionalHarry-DymEquationwiththeRiemann-LiouvilleDerivative; 3.1. Preliminaries; 3.2. LieSymmetriesandOptimalSystemfortheFractionalHDEquation; 3.3. SimilarityReductionsoftheFractionalHDEquation; Conclusion; References; Chapter3AMETHODFOREXPONENTIALLYSTABILIZINGACLASSOF1-DPDES; Abstract; 1. FormulationoftheControlProblem; 2. Preliminaries; 2.1ExponentialStabilityinSemigroupsContext; 2.2SystemTransformation; 2.3SemigroupsRepresentationoftheTargetSystem; 3. ExponentialStabilizationoftheTargetSystem.
4. ExponentialStabilizationoftheInitialSystemConclusion; References; INDEX ; Blank Page.
Online resource; title from digital title page (viewed on June 12, 2017).
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