Theory, numerics and applications of hyperbolic problems. Aachen, Germany, August 2016 /: Aachen, Germany, August 2016. I : ([2018])

• Record Type: Book
• Further Information: Note: Christian Klingenberg, Michael Westdickenberg, editors.
• Editors: Klingenberg, Christian; Westdickenberg, Michael
• Other Names: International Conference on Non-linear Hyperbolic Problems
• Contents: Intro; Contents; Proceedings of the 16th International Conference on Hyperbolic Problems: Theory, Numerics and Application; Organizer's Introduction; Reference; Speakers at the 16th International Conference on Hyperbolic Problems that Contributed to these Proceedings; The Sharp-Interface Limit for the Navier-Stokes-Korteweg Equations; 1 Introduction; 2 A Priori Estimates and Compactness Properties; 3 The Sharp-Interface Limit and Main Theorem; 4 Conclusions; References; Asymptotic Behavior of a Solution of Relaxation System for Flow in Porous Media; 1 Introduction 2 Physical and Mathematical Models2.1 Mathematical Analysis; 3 Numerical Experiments; 4 Concluding Remarks; References; Optimal Control of Level Sets Generated by the Normal Flow Equation; 1 Introduction; 2 Optimal Control of Level Set Dynamics; 3 Approximate Solutions with the Extended Ritz Method; 4 Adjoint Equation and Optimization Procedure; 5 Simulation Results; 6 Conclusions; References; Emergent Dynamics for the Kinetic Kuramoto Equation; 1 Introduction; 1.1 The Kuramoto Model for N Oscillators; 1.2 The Kinetic Kuramoto Equation; 2 BV Solutions and the Front-Tracking Algorithm 2.1 Identical Oscillators2.2 Nonidentical Oscillators; 3 Phase Concentration of the Kuramoto-Sakaguchi Equation; 3.1 Identical Oscillators; 3.2 Nonidentical Oscillators; References; A Hyperbolic Model of Nonequilibrium Phase Change at a Sharp Liquid-Vapor Interface; 1 Context; 2 Mathematical Model; 2.1 Conservation Equations; 2.2 Hyperbolicity; 2.3 Comparison with Other Models; 2.4 Limitation; 3 Discretization and Test Cases; 3.1 Discretization Strategy; 3.2 Numerical Results; 4 Conclusion; References; The Cauchy Problem for the Maxwell-Schrödinger System with a Power-Type Nonlinearity 1 Introduction2 Proof of Theorem1; 3 Global Existence; 4 Quantum Magnetohydrodynamics; References; Construction and Approximation of the Polyatomic Bitemperature Euler System; 1 Introduction; 2 The Mathematical Models; 2.1 The Bitemperature Euler System; 2.2 The Kinetic Model; 3 Construction of the Fluid Model; 3.1 Scaling on the One Dimensional BGK Model; 3.2 Hydrodynamic Limit; 4 Numerical Approximation; 4.1 Derivation of the Numerical Scheme; 4.2 Numerical Results; References; An Implicit-Explicit Scheme Accurate at Low Mach Numbers for the Wave Equation System; 1 Introduction 2 Low Mach Number Limit of the Wave Equation3 An IMEX Scheme Accurate at Low Mach Number; 3.1 Time Discretisation; 3.2 Space Discretisation; 4 L2-Stability Analysis; 5 Numerical Test Problems; 5.1 Order of Convergence and Accuracy; 5.2 Asymptotic Preserving Property; 6 Conclusions; References; Bose-Einstein Condensation and Global Dynamics of Solutions to a Hyperbolic Kompaneets Equation; 1 Introduction; 2 Definitions and Main Results; 3 Contraction; 4 Regularity and Compactness; 5 Proof of the Main Theorem; 6 Future Directions; References
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2018
• Extent: 1 online resource
• Subjects: 515/.3535; Mathematics; Differential equations, Hyperbolic -- Congresses; MATHEMATICS / Calculus; MATHEMATICS / Mathematical Analysis; Differential equations, Hyperbolic; Mathematics; Partial Differential Equations; Engineering Fluid Dynamics; Technology & Engineering -- Mechanical; Mechanics of fluids; Differential equations, partial; Hydraulic engineering; Mathematics -- Differential Equations; Differential calculus & equations; Electronic books; Conference papers and proceedings
• Languages: English
• ISBNs: 9783319915456; 3319915452
• Related ISBNs: 9783319915449
• Notes: Note: Includes bibliographical references.; Note: Online resource; title from PDF title page (SpringerLink, viewed June 28, 2018).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.