- S. Schochet and E. Tadmor
Regularized
Chapman-Enskog expansion for scalar
conservation laws
Archive
for Rational Mechanics and Analysis 119
(1992) 95-107.
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- M. Grassin
Existence of global smooth
solutions to Euler equations for an
isentropic perfect
gas
Indiana Univ. Math.
Journal. 47(2) (1998)
1397-1432.
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- S. Engelberg, H. Liu and E.
Tadmor
Critical thresholds in
Euler-Poisson
equations
Indiana University
Math journal 50(1) (2001)
109-157.
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- H. Liu and E. Tadmor
Critical
thresholds in a convolution model for
nonlinear conservation
laws
SIAM Journal on
Mathematical Analysis 33(4) (2001)
930-945.
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- H. Liu and E. Tadmor
Spectral
dynamics of the velocity gradient field in
restricted
flows
Communications in
Mathematical Physics 228 (2002)
435-466.
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- H. Liu and E. Tadmor
Semi-classical
limit of the nonlinear Schrödinger-Poisson
equation with sub-critical initial
data
Methods and
Applications in Analysis 9(4) (2002)
517-532.
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- P. Godin
A class of global non-smooth
axisymmetric solutions to the Euler
equations of an isentropic perfect gas in 2
space dimensions
in "Hyperbolic
Problems: Theory, Numerics, Applications", 9th
International Conference on Hyperbolic Problems
held in Pasadena in 2002 (T. Hou and E Tadmor
eds.), Springer (2003) 549-555..
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- H. Liu and E. Tadmor
Critical
thresholds and conditional stability for
Euler equations and related
models
in "Hyperbolic Problems:
Theory, Numerics, Applications", 9th
International Conference on Hyperbolic Problems
held in Pasadena in 2002 (T. Hou and E. Tadmor,
eds.), Springer (2003) 227-240..
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- H. Liu and E. Tadmor
Critical
thresholds in 2D restricted Euler-Poisson
equations
SIAM Journal of
Applied Mathematics 63(6) (2003)
1889-1910..
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- H. Liu and E. Tadmor
Rotation
prevents finite-time
breakdown
Physica D 188
(2004) 262-276.
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- H. Liu
Critical thresholds in the
semiclassical limit of 2-D rotational
Schrodinger
equations
ZAMP 57
(2006) 42-58.
|
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- H. Liu
Global orientation dynamics
for liquid crystalline
polymers
Physica D 228
(2007) 122-129.
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- B. Cheng and E.Tadmor
Long time
existence of smooth solutions for the
rapidly rotating shallow-water and Euler
equations
SIAM Journal on
Mathematical Analysis 39(5) (2008)
1668-1685.
|
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- T. Li and H. Liu
Critical thresholds
in a relaxation model for travel
flows
Indiana Univ. Math.
Journal 57(3) (2008) 1409-1430.
|
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- E. Tadmor and D. Wei
On the global
regularity of sub-critical Euler-Poisson
equations with
pressure
Journal of the
European Mathematical Society 10 (2008)
757-769.
|
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- D. Chae and E. Tadmor
On the finite
time blow-up of the Euler-Poisson equations
in R
n
Communications
in Mathematical Sciences 6(3) (2008)
785-789.
|
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- T. Li and H. Liu
Critical thresholds
in hyperbolic relaxation
systems
Journal of
Differential Equations 247(1) (2009)
33-48.
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- T. Li and H. Liu
Critical thresholds
in a relaxation system with resonance of
characteristic
speeds
Discrete and
Continuous Dynamical Systems - Series A
24(2) (2009) 51--521.
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- B. Cheng and E. Tadmor
An improved
local blow-up condition for Euler-Poisson
equations with attractive
forcing
Physica D 238
(2009) 2062-2066.
|
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- Tong Li and Sunčica Čanić
Critical
thresholds in a quasilinear hyperbolic model
of blood flow
Networks and
Heterogeneous Media 4(3) (2009)
527-536.
|
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- H. Liu, E. Tadmor and D. Wei
Global
regularity of the 4D Restricted Euler
Equations
Physica D 239
(2010) 1225-1231.
|
|
- D. Wei
Critical thresholds in
multi-dimensional restricted Euler
equations
Communications in
Mathematical Sciences 9(2) (2011)
583-596.
|
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- Bin Cheng and Chunjing Xie
On the
classical solutions of two dimensional
inviscid rotating shallow water
system
J. Differential
Equations 250 (2011) 690-709.
|
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- D. Wei, E. Tadmor and H. Bae
Critical
thresholds in multi-dimensional
Euler-Poisson equations with radial
symmetry
Communications in
Mathematical Sciences 10(1) (2012)
75-86.
|
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- J. Hunter and M. Ifrim
Quasi-linear
Schrödinger equation for large
amplitude inertial oscillations in a
rotating shallow fluid
IMA
Journal of Applied Mathematics
(2013).
|
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- Y. Lee and H. Liu
Thresholds in
three-dimensional restricted Euler-Poisson
equations
Physica D 262
(2013) 59-70.
|
|
- E. Tadmor and C. Tan
Critical
thresholds in flocking hydrodynamics with
nonlocal
alignment
Proceedings of the
Royal Society A (2014).
|
|
- Masashi
Ohnawa
L∞-stability of
continuous shock waves in a radiating gas
model
SIAM J. Math.
Anal. 46(3) (2014) 2136-2159.
|
|
- Yongki Lee and Hailiang
Liu
Thresholds for shock formation in
traffic flow models with Arrhenius
look-ahead dynamics
Discrete
and Continuous dynamical systems 35(1)
(2015) 323-339.
|
|
- Geng Chen
Optimal time-dependent
lower bound on density for classical
solutions of 1-D compressible Euler
equations
Indiana Univ.
Math. J 66(3) (2015) 725-740.
|
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- J. A. Carrillo, Y.-P. Choi E. Tadmor & C.
Tan
Critical thresholds in 1D Euler
equations with nonlocal
forces
Mathematical Models
and Methods in Applied Sciences 26(1)
(2015) 185-206.
|
|
- Yongki Lee
Blow-up conditions for two
dimensional modified Euler-Poisson
equations
Journal of
Differential Equations In Press
(2016).
|
|
- Yongki Lee
Upper-Thresholds for shock
formation in two-dimensional weakly
restricted Euler-Poisson
equations
Communications in
Mathematical Sciences 15(3) (2016)
593-608.
|
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- Jose A. Carrillo, Young-Pil Choi and Ewelina
Zatorska
On the pressureless damped
Euler-Poisson equations with quadratic
confinement: critical thresholds and
large-time
behavior
Mathematical Models
and Methods in Applied Sciences
(2016).
|
|
- Bin Cheng, Peng Qu and Chunjing
Xie
Singularity formation and global
existence of classical solutions for one
dimensional rotating shallow water
system
Preprint
(2017).
|
|
- R. Shvydkoy and E. Tadmor
Eulerian
dynamics with a commutator
forcing
Transactions of
Mathematics and its Applications 1(1)
(2017) 1-26.
|
|
- R. Shvydkoy and E. Tadmor
Eulerian
dynamics with a commutator forcing II:
flocking
Discrete and
Continuous Dynamical Systems-A 37(11)
(2017) 5503-5520.
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