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BL
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| Record Number
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859156
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| Title & Author
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Recent advances in differential equations and applications /\ editors, Juan Luis García Guirao, José Alberto Murillo Hernández and Francisco Periago Esparza.
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| Publication Statement
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Cham, Switzerland :: Springer,, [2019]
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| Series Statement
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SEMA SIMAI Springer series,; volume 18
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| Page. NO
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1 online resource
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| ISBN
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3030003418
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: 3030003426
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: 9783030003418
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: 9783030003425
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303000340X
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9783030003401
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| Bibliographies/Indexes
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Includes bibliographical references.
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| Contents
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Intro; Preface; Contents; Contributors; About the Editors; Applications of Observability Inequalities; 1 Introduction; 2 Observability Inequalities; 3 Applications of Observability Inequalities; 3.1 Minimal Time Control Problems; 3.2 Minimal Norm Control Problems; 4 Open Problems; References; Optimal Design of Piezoelectric Microactuators: Linear vs Non-linear Modeling; 1 Introduction; 2 Topology Optimization of Piezoelectric Microactuators; 2.1 Robust Formulation; 3 Numerical Implementation; 4 Examples; 4.1 Maximizing Displacement in Horizontal Direction
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3.1 Local Truncation Errors3.2 Accumulated Truncation Errors; 3.2.1 P'PECE Mode; 3.2.2 PEC'CE Mode; 3.2.3 PECEC' Mode; 4 Stability; 5 Numerical Examples; 5.1 Example 1; 5.2 Example 2; 5.3 Example 3; 5.4 Example 4; 5.5 Example 5; 6 Conclusions; References; Application of a Local Discontinuous Galerkin Method to the 1D Compressible Reynolds Equation; 1 Introduction; 2 The Model Problem; 3 Numerical Method; 4 Numerical Examples; 4.1 Test 1: Numerical Convergence; 4.2 Test 2: p-Adaptivity; 4.3 Test 3: A Rugous Surface Case; 4.4 Test 4: A Head-Tape Recording System; 5 Conclusions; References
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3.3 Concluding Remarks4 Numerical Experiments; 4.1 Introduction; 4.2 Numerical Conclusions; References; Conservation Laws and Potential Symmetries for a Generalized Gardner Equation; 1 Introduction; 2 Conservation Laws; 3 First Level Potential Systems and Symmetries; 4 Second-Level Potential Systems and Symmetries; 5 Conclusions; References; On a Nonlocal Boussinesq System for Internal Wave Propagation; 1 Introduction; 2 Derivation of the Model; 2.1 Euler System for Internal Waves; 2.2 Non-dimensionalization; 2.3 Boussinesq/Boussinesq Regime; 3 Well-posedness; 3.1 Linear well-posedness
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4.2 Maximizing Displacement in Horizontal Direction Including Void Passive Area4.3 Maximizing Displacement in Vertical Direction Including Void Passive Area; 5 Comparison Between Linear and Non-linear Modeling; 6 Conclusions; References; Formulation and Analysis of a Class of Direct Implicit Integration Methods for Special Second-Order I.V.P.s in Predictor-Corrector Modes; 1 Introduction; 2 Formulations of Falkner Methods in P-C Mode; 2.1 Explicit Methods; 2.1.1 PP'E Mode; 2.1.2 PEC' Mode; 2.2 Implicit Methods; 2.2.1 P'PECE Mode; 2.2.2 PEC'CE Mode; 2.2.3 PECEC' Mode; 3 Error Analysis
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Classical Symmetries for Two Special Cases of Unsteady Flow in Nanoporous Rock1 Introduction; 2 The Lie Method; 2.1 Lie Point Symmetries; 2.2 Lie Contact Symmetries; 3 Lie Group Classification; 3.1 Case 1: Flow of Weakly Compressible Fluid; 3.2 Case 2: Isothermic Gas Flow; 4 Conclusions; References; Asymptotic Behaviour of Finite Length Solutions in a Thermosyphon Viscoelastic Model; 1 Introduction; 2 Previous Results About Well Posedness and Global Attractor; 3 Asymptotic Behaviour of Finite Length Solutions; 3.1 Previous Results and Notations; 3.2 Asymptotic Behaviour
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| Abstract
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This work gathers a selection of outstanding papers presented at the 25th Conference on Differential Equations and Applications / 15th Conference on Applied Mathematics, held in Cartagena, Spain, in June 2017. It supports further research into both ordinary and partial differential equations, numerical analysis, dynamical systems, control and optimization, trending topics in numerical linear algebra, and the applications of mathematics to industry. The book includes 14 peer-reviewed contributions and mainly addresses researchers interested in the applications of mathematics, especially in science and engineering. It will also greatly benefit PhD students in applied mathematics, engineering and physics.--
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| Subject
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Differential equations.
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Differential equations.
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MATHEMATICS-- Calculus.
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| Subject
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MATHEMATICS-- Mathematical Analysis.
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| Dewey Classification
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515.35
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| LC Classification
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QA371
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| Added Entry
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García Guirao, Juan Luis
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Murillo Hernández, José Alberto
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Periago Esparza, Francisco
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