S. Schochet and E. Tadmor Regularized
ChapmanEnskog expansion for scalar
conservation laws Archive
for Rational Mechanics and Analysis 119
(1992) 95107.


M. Grassin Existence of global smooth
solutions to Euler equations for an
isentropic perfect
gas Indiana Univ. Math.
Journal. 47(2) (1998)
13971432.


S. Engelberg, H. Liu and E.
Tadmor Critical thresholds in
EulerPoisson
equations Indiana University
Math journal 50(1) (2001)
109157.


H. Liu and E. Tadmor Critical
thresholds in a convolution model for
nonlinear conservation
laws SIAM Journal on
Mathematical Analysis 33(4) (2001)
930945.


H. Liu and E. Tadmor Spectral
dynamics of the velocity gradient field in
restricted
flows Communications in
Mathematical Physics 228 (2002)
435466.


H. Liu and E. Tadmor Semiclassical
limit of the nonlinear SchrödingerPoisson
equation with subcritical initial
data Methods and
Applications in Analysis 9(4) (2002)
517532.


P. Godin A class of global nonsmooth
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) 549555..


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) 227240..


H. Liu and E. Tadmor Critical
thresholds in 2D restricted EulerPoisson
equations SIAM Journal of
Applied Mathematics 63(6) (2003)
18891910..


H. Liu and E. Tadmor Rotation
prevents finitetime
breakdown Physica D 188
(2004) 262276.


H. Liu Critical thresholds in the
semiclassical limit of 2D rotational
Schrodinger
equations ZAMP 57
(2006) 4258.


H. Liu Global orientation dynamics
for liquid crystalline
polymers Physica D 228
(2007) 122129.


B. Cheng and E.Tadmor Long time
existence of smooth solutions for the
rapidly rotating shallowwater and Euler
equations SIAM Journal on
Mathematical Analysis 39(5) (2008)
16681685.


T. Li and H. Liu Critical thresholds
in a relaxation model for travel
flows Indiana Univ. Math.
Journal 57(3) (2008) 14091430.


E. Tadmor and D. Wei On the global
regularity of subcritical EulerPoisson
equations with
pressure Journal of the
European Mathematical Society 10 (2008)
757769.


D. Chae and E. Tadmor On the finite
time blowup of the EulerPoisson equations
in R
n Communications
in Mathematical Sciences 6(3) (2008)
785789.


T. Li and H. Liu Critical thresholds
in hyperbolic relaxation
systems Journal of
Differential Equations 247(1) (2009)
3348.


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) 51521.


B. Cheng and E. Tadmor An improved
local blowup condition for EulerPoisson
equations with attractive
forcing Physica D 238
(2009) 20622066.


Tong Li and Sunčica Čanić Critical
thresholds in a quasilinear hyperbolic model
of blood flow Networks and
Heterogeneous Media 4(3) (2009)
527536.


H. Liu, E. Tadmor and D. Wei Global
regularity of the 4D Restricted Euler
Equations Physica D 239
(2010) 12251231.


D. Wei Critical thresholds in
multidimensional restricted Euler
equations Communications in
Mathematical Sciences 9(2) (2011)
583596.


Bin Cheng and Chunjing Xie On the
classical solutions of two dimensional
inviscid rotating shallow water
system J. Differential
Equations 250 (2011) 690709.


D. Wei, E. Tadmor and H. Bae Critical
thresholds in multidimensional
EulerPoisson equations with radial
symmetry Communications in
Mathematical Sciences 10(1) (2012)
7586.


J. Hunter and M. Ifrim Quasilinear
Schrödinger equation for large
amplitude inertial oscillations in a
rotating shallow fluid IMA
Journal of Applied Mathematics
(2013).


Y. Lee and H. Liu Thresholds in
threedimensional restricted EulerPoisson
equations Physica D 262
(2013) 5970.


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) 21362159.


Yongki Lee and Hailiang
Liu Thresholds for shock formation in
traffic flow models with Arrhenius
lookahead dynamics Discrete
and Continuous dynamical systems 35(1)
(2015) 323339.


Geng Chen Optimal timedependent
lower bound on density for classical
solutions of 1D compressible Euler
equations Indiana Univ.
Math. J 66(3) (2015) 725740.


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) 185206.


Yongki Lee Blowup conditions for two
dimensional modified EulerPoisson
equations Journal of
Differential Equations In Press
(2016).


Yongki Lee UpperThresholds for shock
formation in twodimensional weakly
restricted EulerPoisson
equations Communications in
Mathematical Sciences 15(3) (2016)
593608.


Jose A. Carrillo, YoungPil Choi and Ewelina
Zatorska On the pressureless damped
EulerPoisson equations with quadratic
confinement: critical thresholds and
largetime
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) 126.


R. Shvydkoy and E. Tadmor Eulerian
dynamics with a commutator forcing II:
flocking Discrete and
Continuous Dynamical SystemsA 37(11)
(2017) 55035520.

