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.