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Theory, numerics and applications of hyperbolic problems. I : Aachen, Germany, August 2016

Author: Christian Klingenberg; Michael Westdickenberg
Publisher: Cham, Switzerland : Springer, [2018]
Series: Springer proceedings in mathematics & statistics, v. 236.
Edition/Format:   eBook : Document : Conference publication : EnglishView all editions and formats
Summary:
The first of two volumes, this edited proceedings book features research presented at the XVI International Conference on Hyperbolic Problems held in Aachen, Germany in summer 2016. It focuses on the theoretical, applied, and computational aspects of hyperbolic partial differential equations (systems of hyperbolic conservation laws, wave equations, etc.) and of related mathematical models (PDEs of mixed type,  Read more...
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Genre/Form: Electronic books
Conference papers and proceedings
Congresses
Additional Physical Format: Printed edition:
Material Type: Conference publication, Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Christian Klingenberg; Michael Westdickenberg
ISBN: 9783319915456 3319915452
OCLC Number: 1041937816
Description: 1 online resource.
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.
Series Title: Springer proceedings in mathematics & statistics, v. 236.
Responsibility: Christian Klingenberg, Michael Westdickenberg, editors.

Abstract:

It focuses on the theoretical, applied, and computational aspects of hyperbolic partial differential equations (systems of hyperbolic conservation laws, wave equations, etc.) and of related  Read more...

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