2005 Preprints

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Preprints submitted in 2005

• 2005-055
  A. Yu. Khrennikov and V. M. Shelkovich:
  On the algebraic aspect of singular solutions to conservation laws systems.
  
  
• 2005-054
  Wen Chen:
  Fractional and fractal derivatives modeling of turbulence.
  
  
• 2005-053
  V. M. Shelkovich:
  The Riemann problem admitting δ′-shock wave type solution (the vanishing viscosity approach).
  
  
• 2005-052
  Paola Goatin:
  The Aw–Rascle traffic flow model with phase transitions.
  
  
• 2005-051
  E.Yu. Panov:
  On symmetrizability of hyperbolic matrix spaces.
  
  
• 2005-050
  E.Yu. Panov:
  Prolonged systems for a scalar conservation law and entropies of higher order.
  
  
• 2005-049
  E.Yu. Panov:
  On infinite dimensional systems of conservation laws of Keyfitz-Kranzer type.
  
  
• 2005-048
  A.-Y. LeRoux and M.-N. LeRoux:
  A Mathematical model for rogue waves, using Saint Venant equations with friction.
  
  
• 2005-047
  S. Bianchini, B. Hanouzet, and R. Natalini:
  Asymptotic behavior of smooth solutions for partially dissipative hyperbolic systems with a convex entropy.
  
  
• 2005-046
  Jorge Balbas and Eitan Tadmor:
  Non-oscillatory central schemes for one- and two-dimensional MHD equations. II: high-order semi-discrete schemes.
  
  
• 2005-045
  Eitan Tadmor, Michel Rascle, and Patrizia Bagnerini:
  Compensated compactness for 2D conservation laws.
  
  
• 2005-044
  Eitan Tadmor and Terence Tao:
  Velocity averaging, kinetic formulations and regularizing effects in quasilinear PDEs.
  
  
• 2005-043
  Riccardo Fazio and Giovanni Russo:
  A Lagrangian central scheme for interface problems.
  
  
• 2005-042
  F. Bouchut, H. Ounaissa, and B. Perthame:
  Upwinding of source term at interfaces for Euler equations with high friction.
  
  
• 2005-041
  Jakov Foukzon:
  New scenario for transition to slow 3-D turbulence.
  
  
• 2005-040
  Mostafa Bendahmane, Giuseppe Maria Coclite, and Kenneth H. Karlsen:
  H¹-perturbations of smooth solutions for a weakly dissipative hyperelastic-rod wave equation.
  
  
• 2005-039
  W. Shen and M. Park:
  Optimal tracing of viscous shocks in solutions of viscous conservation laws.
  
  
• 2005-038
  Bruno Lombard and Joel Piraux:
  Modeling 1-D elastic P-waves in a fractured rock with hyperbolic jump conditions.
  
  
• 2005-037
  V.G. Danilov, D. Mitrovic, and J. Susic:
  A note on the shock wave formation process for scalar conservation laws.
  
  
• 2005-036
  Youngsoo Ha and Yong-Jung Kim:
  Explicit solutions of a convection-reaction equation and defects of difference schemes.
  
  
• 2005-035
  Jiequan Li, Tong Zhang, and Yuxi Zheng:
  Simple waves and a characteristic decomposition of the two dimensional compressible Euler equations.
  
  
• 2005-034
  Helge Holden, Kenneth H. Karlsen, and Nils Henrik Risebro:
  Convergent difference schemes for the Hunter–Saxton equation.
  
  
• 2005-033
  Xiaqi Ding:
  On a lemma Of DiPerna And Chen.
  
  
• 2005-032
  Laura V. Spinolo:
  Vanishing viscosity solutions of a 2×2 triangular hyperbolic system with Dirichlet conditions on two boundaries.
  
  
• 2005-031
  P. Zhang, S. C. Wong, and C.-W. Shu:
  A weighted essentially non-oscillatory numerical scheme for a multi-class traffic flow model on an inhomogeneous highway.
  
  
• 2005-030
  P. Zhang, R. X. Liu, S. C. Wong, and S. Q. Dai:
  Hyperbolicity and kinematic waves of a class of multi-population partial differential equations.
  
  
• 2005-029
  Wenjun Sun, Song Jiang, and Zhenhua Guo:
  Helically symmetric solutions to the 3-D Navier-Stokes equations for compressible isentropic fluids.
  
  
• 2005-028
  G. M. Coclite and K. H. Karlsen:
  On the well-posedness of the Degasperis-Procesi equation.
  
  
• 2005-027
  Maria Lukacova-Medvidova, Sebastian Noelle, and Marcus Kraft:
  Well-balanced finite volume evolution Galerkin methods for the shallow water equations.
  
  
• 2005-026
  Francois Bouchut and Hermano Frid:
  Finite difference schemes with cross derivatives correctors for multidimensional parabolic systems.
  
  
• 2005-025
  Matania Ben-Artzi, Jiequan Li, and Gerald Warnecke:
  A direct Eulerian GRP scheme for compressible fluid flows.
  
  
• 2005-024
  Shi Jin and Xin Wen:
  Hamiltonian-preserving schemes for the Liouville equation of geometrical optics with transmissions and reflections.
  
  
• 2005-023
  Shi Jin and Xin Wen:
  Hamiltonian-preserving schemes for the Liouville equation of geometrical optics with discontinuous local wave speeds.
  
  
• 2005-022
  Shi Jin and Xin Wen:
  Hamiltonian-preserving schemes for the Liouville equation with discontinuous potentials.
  
  
• 2005-021
  T.R. Hagen, J. M. Hjelmervik, K-A. Lie, J.R. Natvig, and M. Ofstad Henriksen:
  Visual simulation of shallow-water waves.
  
  
• 2005-020
  Sebastian Noelle, Normann Pankratz, Gabriella Puppo, and Jostein R. Natvig:
  Well-balanced finite volume schemes of arbitrary order of accuracy for shallow water flows.
  
  
• 2005-019
  Christian Rohde and Wen-An Yong:
  The nonrelativistic limit in radiation hydrodynamics: I. Weak entropy solutions for a model problem.
  
  
• 2005-018
  Alberto Bressan and Massimo Fonte:
  An optimal transportation metric for solutions of the Camassa-Holm equation.
  
  
• 2005-017
  G. M. Coclite and K. H. Karlsen:
  A singular limit problem for conservation laws related to the Camassa–Holm shallow water equation.
  
  
• 2005-016
  Alberto Bressan and Adrian Constantin:
  Global conservative solutions of the Camassa–Holm equation.
  
  
• 2005-015
  Jean-Francois Coulombel:
  Stability of finite difference schemes for hyperbolic systems in two space dimensions.
  
  
• 2005-014
  Peter Howard and Mohammadreza Raoofi:
  Pointwise asymptotic behavior of perturbed viscous shock profiles.
  
  
• 2005-013
  Bachir Ben Moussa:
  On the convergence of SPH method for scalar conservation laws with boundary conditions.
  
  
• 2005-012
  E. Yu. Panov and V. M. Shelkovich:
  δⁿ-shock wave as a new type solutions of hyperbolic systems of conservation laws.
  
  
• 2005-011
  Yuxi Zheng:
  Two-dimensional regular shock reflection for the pressure gradient system of conservation laws.
  
  
• 2005-010
  Alberto Bressan and Yuxi Zheng:
  Conservative Solutions to a Nonlinear Variational Wave Equation.
  
  
• 2005-009
  Alberto Bressan, Helge Kristian Jenssen and Paolo Baiti:
  An Instability of the Godunov Scheme.
  
  
• 2005-008
  Giuseppe M. Coclite, Helge Holden and Kenneth H. Karlsen:
  Global weak solutions to a generalized hyperelastic-rod wave equation.
  
  
• 2005-007
  Giuseppe M. Coclite, Helge Holden and Kenneth H. Karlsen:
  Wellposedness for a parabolic-elliptic system.
  
  
• 2005-006
  Alberto Bressan and Adrian Constantin:
  Global solutions of the Hunter–Saxton equation.
  
  
• 2005-005
  Marek Brandner and Stanislav Míka:
  Wave decomposition in Riemann problems for heterogeneous media.
  
  
• 2005-004
  Helge Holden and Xavier Raynaud:
  A convergent numerical scheme for the Camassa–Holm equation based on multipeakons.
  
  
• 2005-003
  M. V. Korobkov and E. Yu. Panov:
  On isentropic solutions of first-order quasilinear equations.
  
  
• 2005-002
  E. Yu. Panov:
  On correctness classes of locally bounded generalized entropy solutions to Cauchy problem for first order quasilinear equations.
  
  
• 2005-001
  E. Yu. Panov:
  Existence of strong traces for generalized solutions of multidimensional scalar conservation laws.
  
  

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