## Preprints submitted in 2005

- 2005-055
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On the algebraic aspect of singular solutions to conservation laws systems. - 2005-054
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Fractional and fractal derivatives modeling of turbulence. - 2005-053
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The Riemann problem admitting δ′-shock wave type solution (the vanishing viscosity approach). - 2005-052
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The Aw–Rascle traffic flow model with phase transitions. - 2005-051
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On symmetrizability of hyperbolic matrix spaces. - 2005-050
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Prolonged systems for a scalar conservation law and entropies of higher order. - 2005-049
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On infinite dimensional systems of conservation laws of Keyfitz-Kranzer type. - 2005-048
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A Mathematical model for rogue waves, using Saint Venant equations with friction. - 2005-047
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Asymptotic behavior of smooth solutions for partially dissipative hyperbolic systems with a convex entropy. - 2005-046
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Non-oscillatory central schemes for one- and two-dimensional MHD equations. II: high-order semi-discrete schemes. - 2005-045
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Compensated compactness for 2D conservation laws. - 2005-044
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Velocity averaging, kinetic formulations and regularizing effects in quasilinear PDEs. - 2005-043
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A Lagrangian central scheme for interface problems. - 2005-042
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Upwinding of source term at interfaces for Euler equations with high friction. - 2005-041
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New scenario for transition to slow 3-D turbulence. - 2005-040
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H^{1}-perturbations of smooth solutions for a weakly dissipative hyperelastic-rod wave equation. - 2005-039
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Optimal tracing of viscous shocks in solutions of viscous conservation laws. - 2005-038
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Modeling 1-D elastic P-waves in a fractured rock with hyperbolic jump conditions. - 2005-037
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A note on the shock wave formation process for scalar conservation laws. - 2005-036
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Explicit solutions of a convection-reaction equation and defects of difference schemes. - 2005-035
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Simple waves and a characteristic decomposition of the two dimensional compressible Euler equations. - 2005-034
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Convergent difference schemes for the Hunter–Saxton equation. - 2005-033
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On a lemma Of DiPerna And Chen. - 2005-032
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Vanishing viscosity solutions of a 2×2 triangular hyperbolic system with Dirichlet conditions on two boundaries. - 2005-031
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A weighted essentially non-oscillatory numerical scheme for a multi-class traffic flow model on an inhomogeneous highway. - 2005-030
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Hyperbolicity and kinematic waves of a class of multi-population partial differential equations. - 2005-029
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Helically symmetric solutions to the 3-D Navier-Stokes equations for compressible isentropic fluids. - 2005-028
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On the well-posedness of the Degasperis-Procesi equation. - 2005-027
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Well-balanced finite volume evolution Galerkin methods for the shallow water equations. - 2005-026
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Finite difference schemes with cross derivatives correctors for multidimensional parabolic systems. - 2005-025
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A direct Eulerian GRP scheme for compressible fluid flows. - 2005-024
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Hamiltonian-preserving schemes for the Liouville equation of geometrical optics with transmissions and reflections. - 2005-023
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Hamiltonian-preserving schemes for the Liouville equation of geometrical optics with discontinuous local wave speeds. - 2005-022
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Hamiltonian-preserving schemes for the Liouville equation with discontinuous potentials. - 2005-021
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Visual simulation of shallow-water waves. - 2005-020
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Well-balanced finite volume schemes of arbitrary order of accuracy for shallow water flows. - 2005-019
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The nonrelativistic limit in radiation hydrodynamics: I. Weak entropy solutions for a model problem. - 2005-018
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An optimal transportation metric for solutions of the Camassa-Holm equation. - 2005-017
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A singular limit problem for conservation laws related to the Camassa–Holm shallow water equation. - 2005-016
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Global conservative solutions of the Camassa–Holm equation. - 2005-015
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Stability of finite difference schemes for hyperbolic systems in two space dimensions. - 2005-014
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Pointwise asymptotic behavior of perturbed viscous shock profiles. - 2005-013
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On the convergence of SPH method for scalar conservation laws with boundary conditions. - 2005-012
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δ^{n}-shock wave as a new type solutions of hyperbolic systems of conservation laws. - 2005-011
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Two-dimensional regular shock reflection for the pressure gradient system of conservation laws. - 2005-010
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Conservative Solutions to a Nonlinear Variational Wave Equation. - 2005-009
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An Instability of the Godunov Scheme. - 2005-008
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Global weak solutions to a generalized hyperelastic-rod wave equation. - 2005-007
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Wellposedness for a parabolic-elliptic system. - 2005-006
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Global solutions of the Hunter–Saxton equation. - 2005-005
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Wave decomposition in Riemann problems for heterogeneous media. - 2005-004
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A convergent numerical scheme for the Camassa–Holm equation based on multipeakons. - 2005-003
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On isentropic solutions of first-order quasilinear equations. - 2005-002
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On correctness classes of locally bounded generalized entropy solutions to Cauchy problem for first order quasilinear equations. - 2005-001
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Existence of strong traces for generalized solutions of multidimensional scalar conservation laws.