
< Compressible
Flow Papers (last updated September 2005) >
Twodimensional Riemann problems
Transonic regular reflection for the nonlinear wave system.
[with K. Jegdic and B. L. Keyfitz]
Journal of Hyperbolic Differential Equations,
,
3(3) (2006), 443375.
A Riemann Problem for the isentropic gas dynamics equations.
[with K. Jegdic and B. L. Keyfitz]
Proceedings of the MSRI/AWM Workshop ``The Legacy of Ladizhenskaya and Oleinik.'', Berkeley, CA,
,
(2006) 165170.
Free Boundary Problems for Nonlinear Wave Systems: Interacting Shocks.
[with B. L. Keyfitz and Kim E.H]
(pdf)
SIAM J. Mathematical Analysis
,
Vol. 37(6) (2006) 1947 1977 .
Transonic regular reflection for the nonlinear wave system.
[with K. Jegdic and B. L. Keyfitz]
()
Journal of Hyperbolic Differential Equations 3(3) (2006),443 375.
,
Transonic regular reflection for the Unsteady Transonic Small Disturbance
Equation  details of the subsonic solution.
[with K. Jegdic and B. L. Keyfitz]
()
Proceedings of the IFIP Conference 2005. Accepted.
,
(2005).
Mixed HyperbolicElliptic Systems in SelfSimilar Flows
[with B. L. Keyfitz and Kim E.H]
()
Bulletin of the Brasilian Mathematical Society
,
Vol. 32(3) (2001).
Selfsimilar Problems in Multidimensional Conservation Laws
[with B. L. Keyfitz and Kim E.H]
()
Proceedings of ICSEC Conference on Recent Advance in Computational Science and Engineering,
Singapore , December 2002.
,
Riemann problems for the
twodimensional unsteady transonic small disturbance equation [with Keyfitz] (ps)
SIAM Journal on Applied Mathematics,
Vol. 58(2) (1998).
A numerical study of Riemann problems for the
twodimensional unsteady transonic small disturbance equation [with Mirkovic] (ps)
SIAM Journal on Applied Mathematics,
Vol. 58(5),1365  1393(1998).
Quasionedimensional Riemann problems and their role in
selfsimilar twodimensional problems [with Keyfitz]
Archive for Rational Mechanics and Analysis,
144 (1998),223 258.
A useful class of twodimensional conservation laws [with Keyfitz]
Mathematical Research, Vol 87, eds. K. Kirchgaessner et al., Akademie Verlag Berlin
(1996), pp. 133137.
Weak shock reflection A free boundary problem
for a quasilinear degenerate elliptic equation: regular reflection of
weak shocks [with Keyfitz and
Kim] (ps)
Nonlinear degenerate elliptic equationsCommunications
on Pure and Applied Mathematics, Vol. LV (2002)71 92.
Free boundary problems for the unsteady transonic small
disturbance equation: transonic regular reflection [with Keyfitz and Kim] (ps)Methods
and
Applications of Analysis, 7 (2) (2000)313 336.
A proof of existence of perturbed steady transonic shocks
via a freeboundary problem [with
Keyfitz and Lieberman] (ps)Communications in Pure and Applied
Mathematics, Vol. LIII
(2000), 484511.
Weak shock reflection modeled by the unsteady transonic
small disturbance equation [with
Keyfitz and Lieberman] (ps)Hyperbolic
Problems: Theory, Numerics, Applications, Vol. 141 (1)
(2000)217 226.
Oblique shock interactions and the von Newmann Paradox [with Keyfitz] (ps)Proc. 20th International Conference on
Shock Waves, Vol. I
(eds. Sturtevant B., Schepherd J.E., Hornung H.G.).
A bifurcation diagram for oblique shock interactions in
the unsteady transonic small disturbance equation [with Keyfitz and Wagner]Hyperbolic Problems: Theory, Numerics, and
Applications, Editors: Glimm et
al., World Scientific, Singapore (1996), pp. 178187.
An elliptic problem
arising from the unsteady transonic small disturbance equation [with Keyfitz] (ps)
Journal of Differential Equations,
Vol. 125 (1996), pp. 548574.
A smooth solution for a Keldysh type equation [with Keyfitz] (ps)Communications in Partial Differential
Equations, Vol. 21
(1996), pp. 319340.
A class of quasilinear degenerate
elliptic problems [with Eun Heui Kim]
(ps)Journal
of
Differential Equations, 189(1) (2003) 7198.
Shock wave admissibility for conservation laws that change type Shock wave admissibility
for quadratic conservation laws [with Plohr] (ps)
Journal of Differential Equations,
Vol. 118 (1995), pp. 293335.
The role of limit cycles in the admissibility of shock
wavesMatematica Contemporanea, Vol. 8 (1995), pp. 6388.
Quadratic systems of conservation laws with generic
behavior at infinity (ps)Journal of Dynamics and Differential
Equations, Vol. 9(3)
(1997), pp. 401426.
A global approach to shock wave admissibilityAnais do 19th Coloquio Brasileiro
Matematica, (1992), pp. 199216.
On the influence of viscosity on Riemann solutions (ps)Journal of Dynamics and Differential
Equations, Vol. 9(4)
(1997), pp. 663703.
Nonexistence of Riemann solutions for a quadratic model
deriving from petroleum engineeringNonlinear
Analysis: Real World Applications, Vol. 3(4) (2002)
629665.
Oscillation waves in systems of conservation laws [with G. Peters] (ps)Nonlinear Analysis: Series B.
Nonexistence of Riemann solutions and MajdaPego
instability [with G. Peters]
(ps)Journal of Differential Equations 172(1)
(2001) 128.
Shock capturing for slowly moving shocks Computations of slowly
moving shocks [with S. Karni]
Journal of Computational Physics
(136) 1997, no. 1, pp. 132139.
