| Description |
1 online resource (viii, 97 pages). |
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text file |
| Series |
Mathematics research developments
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Mathematics research developments series.
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| Bibliography |
Includes bibliographical references and index. |
| Contents |
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. |
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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. |
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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. |
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4. ExponentialStabilizationoftheInitialSystemConclusion; References; INDEX ; Blank Page. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Evolution equations.
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Evolution equations. |
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Evolution equations, Nonlinear.
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Evolution equations, Nonlinear. |
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Differential equations, Partial.
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Differential equations, Partial. |
| Genre/Form |
Electronic books.
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| Added Author |
Murphy, Carolyn (Writer on mathematics), editor.
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| Other Form: |
Print version: Emerging concepts in evolution equations. Hauppauge, New York : Nova Science Publishers, Inc., [2017] 9781536108613 (DLC) 2017000721 |
| ISBN |
9781536108736 (electronic book) |
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1536108731 (electronic book) |
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9781536108613 (paperback) |
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