UID:
almafu_9961535668502883
Umfang:
1 online resource (XIII, 384 p. 34 illus., 22 illus. in color.)
Ausgabe:
First edition.
ISBN:
9783031552601
,
3031552601
Serie:
SEMA SIMAI Springer Series ; Volume 34
Inhalt:
The present volume contains a selection of papers from the XVIII International Conference on Hyperbolic Problems: Theory, Numerics, and Applications (HYP2022), which was held on June 20-24, 2022 in Málaga (Spain). The goal of this series of conferences is to bring together scientists with interests in the theoretical, applied, and computational aspects of hyperbolic partial differential equations (systems of hyperbolic conservation laws, wave equations, etc.) and of related mathematical models. The chapters in this volume correspond to some of the plenary lectures and to selected contributions related to theoretical aspects. .
Anmerkung:
Intro -- Preface -- Contents -- Invited Talks -- Implicit Exactly Well-Balanced Finite Volume Schemes for Balance Laws with Singular Source Terms -- 1 Introduction -- 2 Semi-discrete Exactly Well-Balanced Method for Balance Laws with Singular Source Terms -- 3 Time Integration -- 4 Numerical Tests -- 4.1 Preservation of a Discontinuous Stationary Solution -- 5 Conclusions -- References -- Euler Equations in Fluid Dynamics: Good and Bad News -- 1 Introduction -- 2 Wild Data -- 3 Continuity in Time of Weak Solutions -- 3.1 Measurable Semigroup Selection -- 3.2 Euler System as Vanishing Viscosity Limit, Relevance to Models of Turbulence -- 4 Computing Oscillatory Solutions to the Euler System-A Short Excursion in Numerical Analysis -- References -- Quantitative Compactness Estimates for Stochastic Conservation Laws -- 1 Introduction -- 2 Quantitative Compactness Estimates -- 3 Quantitative Compensated Compactness -- 3.1 Stochastic Interaction Lemma -- 3.2 Proof of Theorem 1 -- References -- Compensated Integrability and Conservation Laws -- 1 Introduction -- 2 Exemples of Div-BV Tensors -- 2.1 Miscellaneous Examples -- 2.2 Evolution Problems -- 2.3 Particle Dynamics -- 2.4 Hard Spheres Dynamics -- 3 Application to Inviscid Gas Dynamics -- 3.1 Recent Improvements -- 4 Application to Scalar Conservation Laws -- 4.1 Dispersion Estimates -- 4.2 Hölder Continuity of u 0 right arrow from bar uu0rightarrowu -- 4.3 Besov Regularity -- References -- The ADER Approach for Approximating Hyperbolic Equations to Very High Accuracy -- 1 Introduction -- 2 ADER in the Finite Volume Framework -- 3 Solvers for the Generalized Riemann Problem upper G upper R upper P Subscript mGRPm -- 3.1 The Toro-Titarev Solver -- 3.2 The HEOC Solver -- 3.3 The Montecinos-Toro Solver -- 3.4 The Dumbser-Enaux-Toro Solver.
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3.5 Connecting the Toro-Titarev Solver to LeFloch-Raviart Expansions -- 4 ADER in the DG Framework -- 5 Efficiency Gains -- 6 Summary and Concluding Remarks -- References -- Theory -- The Relative Energy for Electromagnetic Fluids -- 1 Introduction -- 2 Bipolar Euler-Maxwell System -- 2.1 Nondimensionalization -- 2.2 Conserved Quantities -- 2.3 Relative Energy Identity -- 3 Bipolar Euler-Poisson System -- 3.1 Riesz Potentials and Integration by Parts Formulas -- 4 Weak-Strong Uniqueness for the Euler-Poisson System -- 4.1 Sketch of the Proof -- 5 Relaxation Limit of the Bipolar Euler-Poisson System -- References -- Weak Solutions with Bounded Support to an Euler-Type Flocking Model -- 1 Introduction -- 2 Theorems -- 2.1 Global Existence -- 2.2 Time-Asymptotic Flocking -- References -- On the Spectral Stability of Shock Profiles for Hyperbolically Regularized Systems of Conservation Laws -- 1 Hyperbolically Regularized Systems of Conservation Laws -- 2 Evans Function Theory for Second-Order Hyperbolic Operators -- 3 Spectral Stability: Sketch of Proof of Theorem 1 -- 3.1 Inner Regime -- 3.2 Outer Regime -- 3.3 Outmost Regime -- References -- On Critical Thresholds for Hyperbolic Balance Law Systems -- 1 Introduction -- 2 Euler-Poisson Alignment Dynamics -- 3 Nonlocal Euler System with Relaxation -- References -- Minimizing Movements for Hyperbolic Obstacle-Type Problems and Applications -- 1 Introduction -- 2 Weak Solutions for the Fractional Semilinear Wave Equations (Obstacle-Free Case) -- 2.1 Approximating Scheme -- 2.2 Singular Limits of Hyperbolic Ginzburg-Landau Equations -- 3 Weak Solutions for the Obstacle Problem for Fractional Semilinear Wave Equations -- 3.1 Approximating Scheme -- 4 Nonlinear Waves in Adhesive Phenomena -- References -- Compactness Property of the Linearized Boltzmann Operator for a Mixture of Polyatomic Gases.
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1 Introduction -- 2 The Classical Model -- 2.1 Boltzmann Equation -- 2.2 Main Assumptions on the Collision Cross-Section script upper B Subscript i jmathcalBij -- 3 The Linearized Boltzmann Operator -- 4 Main Result -- References -- Some Remarks About the Well-Posedness of Lifshitz-Slyozov's Equations with Nucleation Kinetics -- 1 Introduction -- 2 Kinetic Rates and Local-in-Time Solutions -- 3 Prolongability and Global Solutions -- 3.1 Hints on Finite-Time Crossings -- References -- On the Topology of the Magnetic Lines of Solutions of the MHD Equations -- 1 Introduction -- 2 Taylor Fields -- 2.1 Stability Estimates for the MHD Equations -- 3 Proof of the Reconnection -- 4 The Forced System -- References -- upper L Superscript normal infinityLinfty Stationary Solutions to Non Homogeneous Conservation Laws -- 1 Introduction -- 2 Assumptions and Result -- 3 Sketch of the Proof of Theorem 1 -- 4 Sketch of the Proofs of the Lemmas -- 4.1 Proof of Lemma 1 -- 4.2 Key Steps in the Proofs of Lemma 2 and Lemma 3 -- 5 Comments and Further Questions -- References -- Peculiarities of Space Dependent Conservation Laws: Inverse Design and Asymptotics -- 1 Introduction -- 2 Notations and Results -- 3 Theorem 2-Sketch of the Proof -- 4 Proof of Theorem 3 -- References -- Wavefronts for Generalized Perona-Malik Equations -- 1 Introduction -- 2 Main Results -- 3 A Short Outline of the Proofs -- 4 Some Open Problems -- References -- Topological Tools in the Solution of a Quadratic System of Two Conservation Laws -- 1 Introduction -- 2 The Wave Manifold and the Main Structures -- 2.1 Decomposition of the Wave Manifold -- 3 Wave Curves, Intermediate Surfaces, and Riemann Solutions -- 3.1 Rarefaction Curves -- 3.2 Admissible Shock Curves -- 3.3 Composite Curves -- 3.4 Wave Curves -- 3.5 Intermediate Surface -- 3.6 Riemann Solution -- 3.7 Example of a Riemann Solution.
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References -- On Shock Profiles in Four-Field Formulations of Dissipative Relativistic Fluid Dynamics -- 1 Introduction -- 2 Shock Profiles in Viscous Barotropic Fluids Without Heat Conduction -- 3 Shock Profiles in Viscous Barotropic Fluids With Heat Conduction -- 4 Non-existence of Shock Profiles in the Bemfica-Disconzi-Noronha Model -- References -- Non-isothermal Multicomponent Flows with Mass Diffusion and Heat Conduction -- 1 Introduction -- 2 Derivation of the Model -- 3 Dissipative Structure -- 4 Convergence Among Theories -- 5 Mass and Thermal Diffusion Around Zero Mean Flow -- References -- On Energy Conservation for Stochastically Forced Fluid Flows -- 1 Introduction -- 2 Stochastic Preliminaries and Function Spaces -- 3 Commutator Estimates -- 4 Technical Lemmas -- 5 Energy Conservation for Stochastically Forced Inviscid Flows -- 5.1 Stochastically Forced Incompressible Euler Equation -- 5.2 Application to Stochastically Forced Inhomogeneous Incompressible Euler Equation -- 5.3 Energy Conservation for Stochastically Forced Compressible Euler -- 6 Energy Conservation for Stochastically Forced Viscous Flows -- 6.1 Stochastically Forced Incompressible Navier-Stokes Equation -- 6.2 Stochastically Forced Compressible Navier-Stokes Equation -- References -- Shock Profiles for Fluid-Particles Flows -- 1 Fluid-Kinetic Models for Particle-Laden Flow -- 2 Behavior as epsilon right arrow 0 Superscript plusεto0+ and Flowing Regime -- 3 Convex Entropies for Both BFP and EFP -- 4 Weak Shock Profiles for BFP and EFP -- 5 Moderate/Large Shocks for EFP at Zero Temperature -- References -- Geometric Optics for Quasilinear Hyperbolic Boundary Value Problems -- 1 Introduction -- 1.1 Position of the Problem -- 1.2 Characteristic Frequencies -- 1.3 The Uniform Kreiss-Lopatinskii Condition and Some Preliminary Results -- 2 Functional Framework.
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2.1 Set of Frequencies Inside the Domain -- 2.2 Spaces of Profiles -- 2.3 Scalar Products on the Space of Oscillating Profiles -- 3 Main Result -- 3.1 Ansatz and Statement of the Main Result -- 3.2 Outline of the Proof -- References -- Global upper B upper VBV Solutions to a System of Balance Laws from Traffic Flow -- 1 Introduction -- 2 Preliminaries -- 3 Entropy-Entropy Flux Pair -- 3.1 Solving for upper Q 1 comma upper Q 2Q1, Q2 -- 3.2 Solving for Convex Entropy -- 4 Verification of Assumptions in Theorems -- 4.1 Entropy Inequality and Partial Dissipative Inequality -- 4.2 Kawashima Condition -- 4.3 Sub-Characteristic Condition -- 5 Equivalent Form -- 6 Statement of Theorem -- References -- Local Existence of 2 upper D2D Compressible Current-Vortex Sheets -- 1 Introduction -- 2 Reformulate Current-Vortex Sheets Problem in a Fixed Domain and Main Theorem -- 3 Well Posedness of the Linearized Problem -- 4 The Nonlinear Problem: The Nash-Moser Iteration Scheme -- References -- Second Order Commutator Estimates in Renormalisation Theory for SPDEs with Gradient-Type Noise -- 1 Gradient Type Noises -- 2 Double Commutator Estimates -- 3 Proof of Lemma 2 -- References -- Oscillating Shock Profiles in Relativistic Fluid Dynamics -- 1 Introduction -- 2 The Profile Equations -- 3 Rest Points with Non-real Eigenvalues -- References -- Geometric Optics for Surface Waves on the Plasma-Vacuum Interface -- 1 Introduction -- 1.1 Settings and WKB Ansatz -- 1.2 Functional Spaces -- 1.3 Notation for Profiles -- 1.4 The Main Result -- 2 The WKB Cascade and the Fast Problem -- 3 Solving the WKB Cascade: The Leading Term -- References -- The Shizuta-Kawashima Condition for the Barotropic SHTC Two Fluid Model -- 1 Introduction -- 2 Governing Equations and Characteristic Fields -- 2.1 Discussion of the Mixture Equation of State -- 2.2 Characteristic Fields.
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3 Convexity, Dissipativity and the Shizuta-Kawashima Condition.
Weitere Ausg.:
ISBN 9783031552595
Weitere Ausg.:
ISBN 3031552598
Sprache:
Englisch
DOI:
10.1007/978-3-031-55260-1
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