Publications
Global solutions of the two-dimensional relativistic
Vlasov-Poisson system,
Transport Theory and Statistical Physics, 16(1)(1987),
61-87.
Development
of singularities of smooth solutions of nonlinear hyperbolic
Volterra equations, Commun. Partial Differential Equations,
12(3)(1987), 243-262.
Finite-time blow-up for nonlinear wave equations in high
dimensions,
Commun. Partial Differential Equations,
12(6)(1987), 677-700.
On the blowing-up of
solutions to nonlinear wave equations in two-space
dimensions, J. reine angew. Math., 391 (1988), 55-64.
Nonlinear wave equations
in high dimensions, Proceedings of the International
Conference on Theory and Applications of Differential Equations,
Ohio University Press, Volume II(1988), 322-326.
On the asymptotic behavior of
solutions of generalized Korteweg-de Varies equations, J.
Math. Anal. Appl., 140 (1989), 228-240.
Formation of singularities in compressible
fluids in two space dimensions, Proc. Amer. Math. Soc.,
107(3)(1989), 705-714.
On the quenching of solutions of the wave equation with a
nonlinear boundary condition, J. reine angew. Math., 407
(1990), 1-18. On the
life span of solutions to nonlinear wave equations, Proc.
First World Congress of Nonlinear Analysts', Volume 1, Walter de
Gruyter, Berlin, New York (1996), 435-443.
On the formation of singularities
in magnetohydrodynamic waves,
J. Math. Anal. Appl., 188(3)(1994), 940-955.
Upper bounds for the life
span of solutions to systems of nonlinear wave equations in two
and three space dimensions, Nonlinear Analysis: Theory,
Methods, and Applications, 25(6)(1995), 639-654.
A note on a nonlinear wave equation
in two and three space dimensions, Commun. Partial
Differential Equations, 22(5,6)(1997), 799-810.
The Navier-Stokes equations on the
rotating 2-D sphere: Gevrey regularity and asymptotic degrees of
freedom (with C. Cao and E. Titi), Zeitschrift fur
Angewandte Mathematik und Physik, 50 (1999), 341-360.
Gevrey regularity of
solutions for nonlinear analytic parabolic equations on the sphere
(with C. Cao and E. Titi), J. of Dynamics and Differential
Equations, 12(2) (2000), 411-433.
A global existence theorem for a wave
equation with a nonlinear damping term (with Keith Agre),
Proceedings of Dynamic Systems and Applications, 3 (2001),
9-14. Nonlinear wave
equations on the two dimensional sphere (with Theresa Strei),
J. Math. Anal. Appl., 267 (2002), 405-417.
Global solutions to boundary value problems
for a nonlinear wave equation in high space dimensions (with Keith
Agre),
Differential and Integral Equations, 14(11) (2001), 1315-1331.
Global existence and
nonexistence for nonlinear wave equations with damping and source
terms (with T. Strei), Transactions Amer. Math. Soc., 354(9) (2002), 3621-3637.
Quenching and
non-quenching for nonlinear wave equations with damping (with K.
Agre), Canadian Applied Math. Quarterly, 9(3) (2001), 203-224..
On nonlinear wave
equations with damping and source terms, Mathematics & Mathematics Education (Bethlehem, 2000), World Sci. Publishing, River Edge, NJ, 2002, 230--238.
Global existence and non-existence
theorems for nonlinear wave equations (with D. Pitts), Indiana University Math. Journal, 51(6) (2002), 1479-1509.
Nonlinear wave equations with degenerate damping
and source terms, (with Viorel Barbu and Irena Lasiecka),
Control and boundary analysis, Lect. Notes Pure Appl. Math.,
240, Chapman \& Hall/CRC, Boca Raton, FL, (2005) 53--62.
On nonlinear wave equations with degenerate damping and source terms, (with Viorel Barbu and Irena Lasiecka), Trans. Amer. Math. Soc. 357 (2005) 2571-2611.
Existence and uniqueness of solutions to
wave equations with nonlinear degenerate damping and source terms,
(with Viorel Barbu and Irena Lasiecka), Control and Cybernetics, special volume dedicated to C. Olech, 34(3) (2005) 665-687.
Systems of Nonlinear Wave Equations With Damping and Source Terms, (with Keith Agre), Differential and Integral Equations,
19 (11), (2006), 1235-1270.
Blow-up of Generalized Solutions to Wave Equations With Nonlinear Degenerate Damping and Source Terms, (with Viorel Barbu and Irena Lasiecka), Indiana University Math. Journal, 56 (3) (2007), 995--1022.
The influence of damping and source terms on solutions of nonlinear wave equations, Bol. Soc. Paran. Mat., (3s) 25(1-2) (2007), 77--90.
Global well-posedness of systems of nonlinear wave equations with degenerate damping and source terms, (with Sawanya Sakuntasathien), submitted.
Global existence and
blow-up of solutions to systems of nonlinear wave equations with degenerate damping and
source terms, (with Sawanya Sakuntasathien), submitted.