Benzoni-Gavage, Sylvie

Hyperbolic Problems: Theory, Numerics, Applications

Benzoni-Gavage, Sylvie - Hyperbolic Problems: Theory, Numerics, Applications, ebook


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Table of contents

I. Plenary Lectures

1. General Relativistic Hydrodynamics and Magnetohydrodynamics: Hyperbolic Systems in Relativistic Astrophysics
J. A. Font

2. On Approximations for Overdetermined Hyperbolic Equations
S. K. Godunov

3. Stable Galaxy Configurations
Y. Guo

4. Dissipative Structure of Regularity-Loss Type and Applications
S. Kawashima

5. Dissipative Hyperbolic Systems: the Asymptotic Behavior of Solutions
S. Bianchini, B. Hanouzet, R. Natalini

II. Invited Lectures

6. Higher Order Numerical Schemes for Hyperbolic Systems with an Application in Fluid Dynamics
V. Dolejší

7. A Penalization Technique for the Efficient Computation of Compressible Fluid Flow with Obstacles
G. Chiavassa, R. Donat

8. Exact Solutions to Supersonic Flow onto a Solid Wedge
V. Elling, T. -P. Liu

9. Resonance and Nonlinearities
T. Gallouët

10. Lp-Stability Theory of the Boltzmann Equation Near Vacuum
S. -Y. Ha, M. Yamazaki, S. -B. Yun

11. A Relaxation Scheme for the Two-Layer Shallow Water System
R. Abgrall, S. Karni

12. Group Dynamics of Phototaxis: Interacting Stochastic Many-Particle Systems and Their Continuum Limit
D. Bhaya, D. Levy, T. Requeijo

13. Vacuum Problem of One-Dimensional Compressible Navier–Stokes Equations
H. -L. Li, J. Li, Z. Xin

14. Stability and Instability Issues for Relaxation Shock Profiles
C. Mascia

15. A New hp-Adaptive DG Scheme for Conservation Laws Based on Error Control
A. Dedner, M. Ohlberger

16. Elliptic and Centrifugal Instabilities in Incompressible Fluids
F. Gallaire, D. Gérard-Varet, F. Rousset

17. On Compressible Current–Vortex Sheets
Y. Trakhinin

18. On the Motion of Binary Fluid Mixtures
K. Trivisa

19. On the Optimality of the Observability Inequalities for Kirchhoff Plate Systems with Potentials in Unbounded Domains
X. Zhang, E. Zuazua

III. Mini-Symposium on Hydraulics

20. High Order Finite Volume Methods Applied to Sediment Transport and Submarine Avalanches
D. Bresch, M. J. C. Díaz, E. D. Fernández-Nieto, A. M. Ferreiro, A. Mangeney

21. On a Well-Balanced High-Order Finite Volume Scheme for the Shallow Water Equations with Bottom Topography and Dry Areas
J. M. Gallardo, M. Castro, C. Parés, J. M. González-Vida

22. A Simple Well-Balanced Model for Two-Dimensional Coastal Engineering Applications
F. Marche

23. A Model for Bed-Load Transport and Morphological Evolution in Rivers:Description and Pertinence
A. Paquier, K. El Kadi

IV. Contributed Talks

24. Homogenization of Conservation Laws with Oscillatory Source and Nonoscillatory Data
D. Amadori

25. Short-Time Well-Posedness of Free-Surface Problems in Irrotational 3D Fluids
D. M. Ambrose

26. Mathematical Study of Static Grain Deep-Bed Drying Models
D. Aregba-Driollet

27. Finite Volume Central Schemes for Three-Dimensional Ideal MHD
P. Arminjon, R. Touma

28. Finite Volume Methods for Low Mach Number Flows under buoyancy
P. Birken

29. Time Splitting with Improved Accuracy for the Shallow Water Equations
A. Bourchtein, L. Bourchtein

30. Compact Third-Order Logarithmic Limiting for Nonlinear Hyperbolic Conservation Laws
M. Cada, M. Torrilhon, R. Jeltsch

31. A Finite Volume Grid for Solving Hyperbolic Problems on the Sphere
D. Calhoun, C. Helzel, R. J. LeVeque

32. Capturing Infinitely Sharp Discrete Shock Profiles with the Godunov Scheme
C. Chalons, F. Coquel

33. Propagation of Diffusing Pollutant by a Hybrid Eulerian–Lagrangian Method
A. Chertock, E. Kashdan, A. Kurganov

34. Nonlocal Conservation Laws with Memory
C. Christoforou

35. Global Weak Solutions for a Shallow Water Equation
G. M. Coclite, H. Holden, K. H. Karlsen

36. Structural Stability of Shock Solutions of Hyperbolic Systems in Nonconservation Form via Kinetic Relations
B. Audebert, F. Coquel

37. A Hyperbolic Model of Multiphase Flow
D. Amadori, A. Corli

38. Nonlinear Stability of Compressible Vortex Sheets
J. -F. Coulombel, P. Secchi

39. Regularity and Compactness for the DiPerna–Lions Flow
G. Crippa, C. Lellis

40. A Note on L1 Stability of Traveling Waves for a One-Dimensional BGK Model
C. M. Cuesta

41. The Weak Rankine Hugoniot Inequality
B. Després

42. Numerical Investigations Concerning the Strategy of Control of the Spatial Order of Approximation Along a Fitted Gas–Liquid Interface
C. Dickopp, J. Ballmann

43. Domain Decomposition Techniques and Hybrid Multiscale Methods for Kinetic Equations
G. Dimarco, L. Pareschi

44. A Shock Sensor-Based Second-Order Blended (Bx) Upwind Residual Distribution Scheme for Steady and Unsteady Compressible Flow
J. Dobeš, H. Deconinck

45. Artificial Compressibility Approximation for the Incompressible Navier–Stokes Equations on Unbounded Domain
D. Donatelli, P. Marcati

46. Traveling-Wave Solutions for Hyperbolic Systems of Balance Laws
A. Dressel, W. A. Yong

47. A Hyperbolic-Elliptic Model for Coupled Well-Porous Media Flow
S. Evje, K. H. Karlsen

48. High-Resolution Finite Volume Methods for Extracorporeal Shock Wave Therapy
K. Fagnan, R. J. LeVeque, T. J. Matula, B. MacConaghy

49. Asymptotic Properties of a Class of Weak Solutions to the Navier–Stokes–Fourier System
E. Feireisl

50. A New Technique for the Numerical Solution of the Compressible Euler Equations with Arbitrary Mach Numbers
M. Feistauer, V. Kuccera

51. Monokinetic Limits of the Vlasov-Poisson/Maxwell-Fokker-Planck System
L. Hsiao, F. Li, S. Wang

52. High-Resolution Methods and Adaptive Refinement for Tsunami Propagation and Inundation
D. L. George, R. J. LeVeque

53. Young Measure Solutions of Some Nonlinear Mixed Type Equations
H.-P. Gittel

54. Computing Phase Transitions Arising in Traffic Flow Modeling
C. Chalons, P. Goatin

55. Dafermos Regularization for Interface Coupling of Conservation Laws
B. Boutin, F. Coquel, E. Godlewski

56. Nonlocal Sources in Hyperbolic Balance Laws with Applications
R. M. Colombo, G. Guerra

57. Comparison of Several Finite Difference Methods for Magnetohydrodynamics in 1D and 2D
P. Havlík, R. Liska

58. On Global Large Solutions to 1-D Gas Dynamics
E. E. Endres, H. K. Jenssen

59. A Carbuncle Free Roe-Type Solver for the Euler Equations
F. Kemm

60. WENOCLAW: A Higher Order Wave Propagation Method
D. I. Ketcheson, R. J. LeVeque

61. Unsteady Transonic Airfoil Flow Simulations using High-Order WENO Schemes
I. Klioutchnikov, J. Ballmann, H. Oliver, V. Hermes, A. Alshabu

62. The Predictor–Corrector Method for Solving of Magnetohydrodynamic Problems
T. Kozlinskaya, V. Kovenya

63. A Central-Upwind Scheme for Nonlinear Water Waves Generated by Submarine Landslides
A. Kurganov, G. Petrova

64. An A Posteriori Error Estimate for Glimm’s Scheme
M. Laforest

65. Multiphase Flows in Mass Transfer in Porous Media
W. Lambert, D. Marchesin

66. Nonlinear Hyperbolic–Elliptic Coupled Systems Arising in Radiation Dynamics
C. Lattanzio, C. Mascia, D. Serre

67. The Lagrangian Coordinates Applied to the LWR Model
L. Ludovic, C. Estelle, L. Jorge

68. Hyperbolic Conservation Laws and Spacetimes with Limited Regularity
P. G. LeFloch

69. Arbitrary Lagrangian–Eulerian (ALE) Method in Cylindrical Coordinates for Laser Plasma Simulations
M. Kucharik, R. Liska, R. Loubere, M. Shashkov

70. Numerical Aspects of Parabolic Regularization for Resonant Hyperbolic Balance Laws
M. Kraft, M. Lukáccová-Medvidová

71. Three-Dimensional Adaptive Central Schemes on Unstructured Staggered Grids
A. Madrane

72. High Amplitude Solutions for Small Data in Pairs of Conservation Laws that Change Type
V. Matos, D. Marchesin

73. Asymptotic Behavior of Riemann Problem with Structure for Hyperbolic Dissipative Systems
A. Mentrelli, T. Ruggeri

74. Maximal Entropy Solutions for a Scalar Conservation Law with Discontinuous Flux
S. Mishra

75. Semidiscrete Entropy Satisfying Approximate Riemann Solvers and Application to the Suliciu Relaxation Approximation
T. Morales, F. Bouchut

76. On the L2-Well Posedness of an Initial Boundary Value Problem for the Linear Elasticity in Two and Three Space Dimensions
A. Morando, D. Serre

77. Intersections Modeling with a Class of “Second-Order” Models for Vehicular Traffic Flow
M. Herty, S. Moutari, M. Rascle

78. Some Contributions About an Implicit Discretization of a 1D Inviscid Model for River Flows
A. Bermúdez Castro, R. Muñoz-Sola, C. Rodríguez, M. Ángel Vilar

79. Remarks on the Nonhomogeneous Oseen Problem Arising from Modeling of the Fluid Around a Rotating Body
S. Kracmar, S. Necasová, P. Penel

80. Multi-D Bony Type Potential for the Boltzmann–Enskog Equation
S.-Y. Ha, S. E. Noh

81. Convergence of Well-Balanced Schemes for the Initial Boundary Value Problem for Scalar Conservation Laws in 1D
M. Nolte, D. Kröner

82. Stability for Multidimensional Periodic Waves Near Zero Frequency
M. Oh, K. Zumbrun

83. Existence of Strong Traces for Quasisolutions of Scalar Conservation Laws
E. Y. Panov

84. Path-Conservative Numerical Schemes for Nonconservative Hyperbolic Systems
C. Parés

85. Numerical Modeling of Two-Phase Gravitational Granular Flows with Bottom Topography
M. Pelanti, F. Bouchut, A. Mangeney, J. -P. Vilotte

86. Linear Lagrangian Systems of Conservation Laws
Y. -J. Peng

87. Normal Modes Analysis of Subsonic Phase Boundaries in Elastic Materials
H. Freistühler, R. G. Plaza

88. Large Time Step Positivity-Preserving Method for Multiphase Flows
F. Coquel, Q. -L. Nguyen, M. Postel, Q. -H. Tran

89. Velocity Discretization in Numerical Schemes for BGK Equations
A. Alaia, S. Pieraccini, G. Puppo

90. A Space–Time Conservative Method for Hyperbolic Systems of Relaxation Type
S. Qamar, G. Warnecke

91. A Numerical Scheme Based on Multipeakons for Conservative Solutions of the Camassa–Holm Equation
H. Holden, X. Raynaud

92. Consistency of the Explicit Roe Scheme for Low Mach Number Flows in Exterior Domains
F. Rieper, G. Bader

93. Weak and Classical Solutions for a Model Problem in Radiation Hydrodynamics
C. Rohde, N. Tiemann, W. -A. Yong

94. Spectral Analysis of Coupled Hyperbolic–Parabolic Systems on Finite and Infinite Intervals
J. Rottmann-Matthes

95. Toward an Improved Capture of Stiff Detonation Waves
O. Rouch, M. -O. St-Hilaire, P. Arminjon

96. Generalized Momenta of Mass and Their Applications to the Flow of Compressible Fluid
O. Rozanova

97. ADER–Runge–Kutta Schemes for Conservation Laws in One Space Dimension
G. Russo, E. F. Toro, V. A. Titarev

98. Strong Boundary Traces and Well-Posedness for Scalar Conservation Laws with Dissipative Boundary Conditions
B. Andreianov, K. Sbihi

99. A Relaxation Method for the Coupling of Systems of Conservation Laws
A. Ambroso, C. Chalons, F. Coquel, E. Godlewski, F. Lagoutière, P. -A. Raviart, N. Seguin

100. Increasing Efficiency Through Optimal RK Time Integration of Diffusion Equations
F. Cavalli, G. Naldi, G. Puppo, M. Semplice

101. Numerical Simulation of Relativistic Flows Described by a General Equation of State
S. Serna

102. On Delta-Shocks and Singular Shocks
V. M. Shelkovich

103. Finite Dimensional Representation of Solutions of Viscous Conservation Laws
W. Shen

104. A Moving-Boundary Tracking Algorithm for Inviscid Compressible Flow
K. M. Shyue

105. Transparent Boundary Conditions for the Elastic Waves in Anisotropic Media
I. L. Sofronov, N. A. Zaitsev

106. Counterflow Combustion in a Porous Medium
A. J. Souza

107. Global Attractor and its Dimension for a Klein–Gordon–Schrödinger System
M. N. Poulou, N. M. Stavrakakis

108. A Few Remarks About a Theorem by J. Rauch
F. Sueur

109. A Riemann Solver Approach for Conservation Laws with Discontinuous Flux
M. Garavello, R. Natalini, B. Piccoli, A. Terracina

110. The Strong Shock Wave in the Problem on Flow Around Infinite Plane Wedge
D. L. Tkachev, A. M. Blokhin, Y. Y. Pashinin

111. The Derivative Riemann Problem for the Baer–Nunziato Equations
E. F. Toro, C. E. Castro

112. Stability of Contact Discontinuities for the Nonisentropic Euler Equations in Two-Space Dimensions
A. Morando, P. Trebeschi

113. Three-Dimensional Numerical MHD Simulations of Solar Convection
S. D. Ustyugov

114. Large-Time Behavior of Entropy Solutions to Scalar Conservation Laws on Bounded Domain
J. Vovelle, S. Martin

115. A Second-Order Improved Front Tracking Method for the Numerical Treatment of the Hyperbolic Euler Equations
J. A. S. Witteveen

116. Simulation of Field-Aligned Ideal MHD Flows Around Perfectly Conducting Cylinders Using an Artificial Compressibility Approach
M. S. Yalim, D. V. Abeele, A. Lani

117. Vanishing at Most Seventh-Order Terms of Scalar Conservation Laws
N. Fujino, M. Yamazaki

118. Large-Time Behavior for a Compressible Energy Transport Model
L. Hsiao, Y. Li

119. Novel Entropy Stable Schemes for 1D and 2D Fluid Equations
E. Tadmor, W. Zhong


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Keywords: MATHEMATICS / General MAT000000

Publication year
Natural Sciences

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