//Principal Publications


var pubs_principal = [
['x','x','x'],
[1,'1965','Global solutions of the Cauchy problem for quasi linear first order equations in several space variables, (with E. Conway), Comm. Pure Appl. Math.,18, (1965), 665-677.'],
[2,'1973','Topological Methods in the Theory of Shock Waves, (with C. Conley),  Proc. Symp. Pure Math, 23, 293-302.'],
[3,'1974','On the structure of magnetohydrodynamic shock waves, (with C. Conley), Comm. Pure Appl. Math.28, 367-375.'],
[4,'1977','Positively invariant regions for systems of reaction-diffusion equations, (with C. Conley), Indiana Math. J., 26, (1974), 373-392.'],
[5,'1990','Bifurcation and symmetry breaking, (with A. Wasserman), Inven. Math., 100, 63-95.'],
[6,'1993','Existence of infinitely – many smooth , static, global solutions of the Einstein-Yang/Mills equations, (with A. Wasserman), Comm. Math. Phys, 151, 303-325.'],
[7,'1995','Astrophysical shock wave solutions of the Einstein equations, (with B. Temple), Phys. Rev. D, 51, 2733-2743.'],
[8,'2000','The interaction of Dirac particles with non-abelian guage fields and gravitation: bound states, (with F. Finster, and ST Yau), Nuclear Physics B, 584, 387-414.'],
[9,'2002','Decay rates and probability estimates for massive Dirac particles in the Kerr-Newman black hole geometry, Comm. Math. Phys, 230, 201-244.'],
[10,'2003','Shock wave cosmology inside a black hole, (with B. Temple), Proc. Nat. Acad. Sci, 100, 11216-11218.'],
[11,'2008','Nonlinear dynamical stability of Newtonian rotating White Dwarf and rotating supermassive stars, (with T. Luo), Comm. Math. Phys., 284, 425-457.'],
[12,'2009','A rigorous treatment of energy extraction from a rotating Kerr black hole, (with F. Finster, N. Kamran and ST Yau), Comm. Math. Phys, to appear.'],
[13,'2009','Linear waves in the Kerr geometry: a mathematical voyage to black hole physics, (with f.Finster, N. Kamran, and ST Yau),  Bull. AMS, to appear.'],
[14,'2009','A One Parameter Family of  Expanding Wave Solutions of the Einstein Equations That Induces an Anomalous Acceleration Into the Standard Model of Cosmology, (with B. Temple ), submitted  Proc. Nat. Acad. Sci.']
];


var pubs_select = [
['x','x','x'],
[1,'1999','Non-Existence of Black Hole Solutions for a Spherically Symmetric, Static Einstein-Dirac-Maxwell System, (with F. Finster and S.-T. Yau), Comm. Math. Phys., 205, 249-262.'],
[2,'2000','The Interaction of Dirac Particles with Non-Abelian Gauge Fields and Gravity – Black Holes (with F. Finster and S.-T. Yau), Mich. Math. J., 47, 199-208.'],
[3,'2000','Some Recent Progress in Classical General Relativity (with F. Finster and S.-T. Yau) ,  J. Math.  Physics, 41, 3943-3963.'],
[4,'2000','The Interaction of Dirac Particles with Non-Abelian Gauge Fields and Gravitation-Bound States (with F. Finster and S.-T. Yau),  Nuclear Physics B, 584, 387-414.'],
[5,'2000','Non-Existence of Time-Periodic Solutions of the Dirac Equation in a Reissner-Nordström Black Hole Background (with F. Finster and S.-T. Yau),  J. Math. Physics 41, 2173-2194.'],
[6,'2000','Non-Existence of Time-Periodic Solutions of the Dirac Equation in an Axisymmetric Black-Hole Geometry (with F. Finster, N. Kamran, and S.-T. Yau), Communications in Pure and Applied Mathematics 53, 902-929.'],
[7,'2000','Cosmology with a Shock-Wave (with J.B. Temple), Communications in Math Physics 210 , 275-308.'],
[8,'2000','Shock-Wave Cosmology (with Blake Temple), Differential Equations and Mathematical Physics, AMS Studies in Advanced Mathematics (ed. by R. Weikard and G. Weinstein), 351-360.'],
[9,'2001','Shock Wave Solutions of the Einstein Equations:  A General Theory with Examples (with Blake Temple),  Advances in the Theory of Shock Waves (ed. by H. Freisthüler and A. Szepessy), Birkhauser, (2001), 105-158.'],
[10,'2001','Non-Formation of Vacuum States for the Compressible Navier-Stokes Equations (with D. Hoff), Communications in Mathematical Physics, 216, 255-276 (2001).'],
[11,'2002','Absence of Stationary, Spherically Symmetric Black Hole Solutions for the Einstein-Dirac-Yang/Mills Equations with Complete Fermion Shells, (with F. Finster and S.-T. Yau),  Advances in Theoretical and Mathematical Physics, Vol. 4, No. 2, (2002).'],
[12,'2002','Shock-Wave Cosmology (with B. Temple), in: Hyperbolic Problems: Theory, Numerics, Applications, (ed. by. H. Freistüler and G. Warneche), Birhäuser Verlag, (2002), 861-867.'],
[13,'2003','Shock-Wave Cosmology Inside a Black Hole (with B. Temple),  Proc. Nat. Acad. Sci., 100, (2003), 11216-11218.'],
[14,'2003','The Long-Time Dynamics of Dirac Particles in the Kerr-Newman Black-Hole Geometry (with F. Finster, N. Kamran, and S.-T. Yau), Adv. Theor. Math. Physics, 7, (2003) , 25-52.'],
[15,'2003','Solving the Einstein Equations by Lipschitz Continuous Metrics:  Shock Waves in General Relativity (with J. Groah and B. Temple), in:  Handbook of Mathe-matical Fluid Dynamics, V. 2 (Ed. by S. Friedlander and D. Serre), Elsevier, (2003), 501-596.'],
[16,'2004','Rotating Fluids with Self-Gravitation in Bounded Domains (with Tao Luo), Arch. Rat. Mech Anal., 173 (2004), 345-377.'],
[17,'2004','Shock Wave Cosmology Inside a Black Hole II – the Case of Noncritical Expansion (with Blake  Temple), J. Hyperbolic PDE’s, Vol. 1, (2004), 429-443.'],
[18,'2004','Cosmology, Black Holes, and Shock Waves Beyond the Hubble Distance (with Blake Temple), Methods and Applications of Analysis, 11 (2004), 77-133.'],
[19,'2004','The Interaction of Gravity with Other Force Fields, in: Proc. of  2nd InternationalCongress of Chinese Mathematicians, (ed. by C.S. Lim, L. Yang, and S.T. Yau), International Press, 9-23.'],
[20,'2005','An Integral Representation for the Propagator for the Wave Equation in the Kerr Geometry, (with F. Finster, N. Kamran, and S.-T. Yau), Comm. Math. Physics, 260 (2005), 257-298.'],
[21,'2006','Blowup of Smooth Solutions for Relativistic Euler Equations (with R. Pan), Comm. Math. Physics 282 (2006), 729-755.'],
[22,'2006','How Inflation is Used to Solve the Flatness problem, (with Blake Temple), J. Hyp. P.D.E., 3, 375-386.'],
[23,'2006','How Inflationary Spacetimes Can Evolve into Spacetimes of Finite Total Mass (with B. Temple),  Methods and Applications of Analysis, 12, 451-464.'],
[24,'2006','Dirac Fields in Gravitation and Non-Abelian Gauge Theory, Encyclopedia of Physics, Elsevier, 67-74.'],
[25,'2006','Decay of Solutions of the Wave Equation in the Kerr Geometry (with F. Finster, N. Kamran, and S.-T. Yau), Comm. Math. Phys., 264, 465-503.'],
[26,'2006','A Shock Wave Refinement of the Friedman-Robertson-Walker Metric, (with Blake Temple), Encyclopedia of Physics, Elsevier.'],
[27,'2007','BOOK: SHOCK WAVES AND THE INITIAL-VALUE PROBLEM IN GENERAL RELATIVITY (with B. Temple and J. Groah), Springer-Verlag, Springer Monographs in Mathematics.'],
[28,'2008','A Time-Independent Energy Estimate for Outgoing Scalar Waves in the Kerr Geometry (with Felix Finster), J. Hyp. Diff. Eqns., 5, (2008), 221-255.'],
[29,'2008','Nonlinear Dynamical Stability of Newtonian Rotating and Non-Rotating White Dwarfs and Rotating Supermassive Stars (with T. Luo), Comm. Math. Phys., 284, (2008), 425-457.'],
[30,'2008','Existence and Nonlinear Stability of Rotating Star Solutions of the Compressible Euler-Poisson equations (with Tao Luo), Arch. Rat. Mech. Anal, (electronic version appeared, 2008).'],
[31,'2009','Linear Stability of the Teukolsky Equation for Higher Spin in the Schwarzschild Geometry, (with Felix Finster), Adv. Theor. Math. Phys., 13, (2009), 71-110.'],
[32,'2009','A Rigorous Treatment of Energy Extraction from a Rotating Black Hole, (with Felix Finster), Commun. Math. Phys  287, (2009), 829-847.'],
[33,'2009','Linear Waves in the Kerr Geometry:  A Mathematical Voyage to Black Hole Physics (with F. Finster, N. Kamran and S.T. Yau), Bull. AMS (to appear).'],
[34,'2009','A One Parameter Family of Expanding Wave Solutions of the Einstein Equations That Induces an Anomalous Acceleration Into the Standard Model of Cosmology, (with B. Temple),  Proc. Nat. Acad. Sci, (USA).'],
[35,'2009','Error Estimates for Approximate Solutions of the Riccati Equation with real or Complex Potentials, (with F. Finster),  Arch. Rat. Mech. Anal.']
];


var pubs_other = [
['x','x','x'],
[1,'1970','Viscosity matrices for two-dimensional nonlinear hyperbolic systems, (with C. Conley), Comm. Pure Appl Math, 23, (1970), 867-884.'],
[2,'1973','Solutions in the large for some nonlinear conservation laws, (with T.      Nishida), Comm. Pure Appl. Math,  26, (1973) 183-200.'],
[3,'1973','Wave front sets and the viscosity method, (with M. Taylor),   Bull. Amer. Math Soc, 79, (1973), 431-436.'],
[4,'1977','Mixed problems for nonlinear conservation laws, (with T. Nishida), J. Diff. Eqns,  23, (1977), 244-269.'],
[5,'1977','Diffusion and the classical ecological interactions, (with E. Conway),  Nonlinear Diffusion, Pitman Research Notes in Math, 14, (1977), 53-69.'],
[6,'1978','Large time behavior of systems of nonlinear reaction-diffusion equations, (with E. Conway and D. Hoff), SIAM J. Appl. Math, 35, (1978), 1-16.'],
[7,'1980','On the vacuum state for isentropic gas dynamics, (with TP Liu),  Adv. Appl. Math 1, (1980), 345-359.'],
[8,'1980','Topological techniques in reaction-diffision equations, (with C. Conley),  Springer Notes in Biolog. Math,  38, (1980), 473-483.'],
[9,'1982','Dispersion and shock-wave structure, (with R. Shapiro),  J. Diff. Eqns, 44, (1982), 281-305.'],
[10,'1983','A class of convergent finite difference schemes, (with T. Nishida), Comm. Pure Appl. Math,36, (1983), 785-808.'],
[11,'1984','Existence, uniqueness, and non-degeneracy of positive solutions of semilinear elliptic equations, (with A. Wasserman), Comm. Math. Phy, 95, (1984), 129-159.'],
[12,'1986','Symmetry-breaking for solutions of semilinear elliptic equations with general boundry conditions, (with A. Wasserman),  Comm. Math. Phys, 105, (1986), 415-441.'],
[13,'1989','Symmetry, degeneracy, and universality in semilinear elliptic equations, (with A. Wasserman),  J. Func. Anal,  89, (1989), 364-409.'],
[14,'1993','Existence of black hole solutions of the Einstein-Yang/Mills equations, (with A. Wasserman), Comm. Math. Phys, 154, (1993), 377-401.'],
[15,'1993','Global solutions of the relativistic Euler equations, (with B. Temple), Comm. Math. Phys, 156, (1993), 67-99.'],
[16,'1993','Shock wave solutions of the Einstein equations, (with B. Temple), Arch. Rat. Mech. Anal, 128, (1993), 249-297.'],
[17,'1997','Solutions of the Oppenheimer-Volkoff equations inside 9/8ths of the Schwarzschild radius, (with B. Temple), Comm. Math. Phys, 184, (1997), 597-617.'],
[18,'1997','Shock waves near the Schwarzchild radius and the stability limit for stars, (with B. Temple), Physical Review D, 55,(1997), 7518-7528.'],
[19,'1998','Extendability of solutions of the Einstein-Yang/Mills equations (with A. Wasserman), Comm. Math. Phys, 194, (1998), 707-732.'],
[20,'1999','The coupling of gravity to spin and electromagnetism, (with F. Finster, and ST Yau), Modern Physics Letters, (14), (1999), 1053-1057. THIS PAPER GOT HONORABLE MENTION , 4th PRIZE, IN THE GRAVITY RESEARCH FOUNDATION CONTEST.'],
[21,'2000','The interaction of Dirac particles with non-abelian gauge fields and gravity—black holes, (with F. Finster and ST Yau), Michigan Math. J., 47, (2000), 199-208.'],
[22,'2000','Non-existence of time-periodic solutions of the Dirac equation in an axi-symmetric black hole geometry, (with F.Finster, N. Kamran, and ST Yau), Comm.Pure Appl. Math, 53, (2000), 902-927.'],
[23,'2001','Non-formation of vacuum states for the compressible Navier-Stokes equations, (with D. Hoff), Comm. Math. Phys, 216, (2001), 255-276.'],
[24,'2003','The long-time dynamics of Dirac particles in the Kerr-Newman black hole geometry, (with F.Finster, N.Kamran and ST Yau), Adv. Theor.Math.Phys, 7, (2003), 25-52.'],
[25,'2004','Rotating fluids with self-gravitation in bounded domains, (with T. Luo), Arch. Rat. Mech. Anal), 173, (2004), 345-377.'],
[26,'2004','Cosmology, black holes, and shock waves beyond the Hubble distance, (with B. Temple), Methods and Appl. of Anal, 11, (2004), 77-133.'],
[27,'2005','An integral spectral representation of the propagator for the wave equation in the Kerr geometry, (with F.Finster, N.Kamran, and ST Yau), Comm. Math. Phys, 260, (2005), 257-298.'],
[28,'2006','Blowup of smooth solutions for the relativistic Euler equation, (with R. Pan), Comm. Math. Phys, 282, (2006), 729-755.'],
[29,'2006','Decay of solutions of the wave equation in the Kerr Geometry, (with F.Finster, N.Kamran, and ST Yau), Comm. Math. Phys, 264, (2006), 465-503.'],
[30,'2007','BOOK: <a href="books.php?p=1">Shock Waves and the Initial-Value Problem in General Relativity</a>, (with B. Temple and J. Groah),  Springer Monographs in Mathematics,  Springer-Verlag, (2007).'],
[31,'2009','Existence and nonlinear stability of rotating star solutions of the compressible Euler-Poisson equations, (with T. Luo), Arch. Rat. Mech. Anal, 2009, (to appear).'],
[32,'2009','Linear stability of the Teukolsky Equation for Higher Spin in the Schwarzschild Geometry(with F.Finster),  Adv. Theor.Math. Phys, 13, (2009), 71-110.'],
[33,'2009','A rigorous treatment of energy extraction from a rotating black hole, (with F. Finster, N. Kamran, and ST Yau), Comm. Math. Phys, (2009), 287, 829-947.'],
[34,'2008','Nonlinear stability of Newtonian rotating and non-rotating white dwarf and supermassive stars, (with T. Luo),  Comm. Math. Phys, 284, (2008), 425-457.'],
[35,'2009','Linear waves in the Kerr geometry: a mathematical voyage to black hole physics, (with F.Finster, N.Kamran, and ST Yau),  Bull Amer. Math. Soc, 2009, (to appear).'],
[36,'2009','Error Estimates for Approximate Solutions of the Riccoti Equation  with Real or Complex Potentials,  (with F. Finster), submitted.'],
[37,'2009','A One Parameter Family of Expanding Wave Solutions of the Einstein Equations That Induces an Anomalous Acceleration into the Standard Model of Cosmology,  (with B. Temple),  submitted.']
];