Home Page of Robert Glassey

Research Interests

  • Applied Mathematics
  • Nonlinear Hyperbolic Partial Differential Equations
  • Kinetic Theory: Vlasov-Maxwell, Boltzmann equations
  • Numerical Analysis

    • Current and Previous Students

    1. Thomas Sideris
      , Department of Mathematics, University of California, Santa Barbara, CA
    2. Jack Schaeffer
      , Department of Mathematics, Carnegie Mellon University, Pittsburgh, PA
    3. Jackie Barab
      , Department of Mathematics, California State University, Dominguez Hills, CA
    4. Mohammad Rammaha
      , Department of Mathematics, University of Nebraska, Lincoln, NE
    5. Scott Zasadil
      , Nomos Corporation, Pittsburgh, PA
    6. Mei-Qin Zhan, Department of Mathematics, University of North Florida,
      Jacksonville, FL
    7. Hongjie Ni, Thales Navigation
      ,CA
    8. Raymond Lai, Camosun College
      , Victoria, Canada
    9. Hayoung Lee, Max-Planck Institut für Gravitationsphysik, Albert-Einstein Institut, D 14476 Golm, Germany

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    List of Selected Publications

    BOOKS
    Numerical Computation Using C. Academic Press, Boston, MA. 1992.

    Errata

    On the support programs to accompany the book:
    Because of security issues imposed by Indiana University, neither ftp nor secure ftp will be able to access these files anonymously. Please send an email request to

    glassey "at" indiana "dot" edu

    and I will forward the file "csrcrtg.txt" to you.

    The Cauchy Problem in Kinetic Theory. SIAM, Philadelphia, 1996.
    CPKT_Errata
    Details

    RESEARCH PAPERS

    On the blowing-up of solutions to the Cauchy Problem for
    nonlinear Schroedinger equations. J. Math. Phys. 18 (1977), 1794-1797.

    Finite-time Blow-up for solutions of nonlinear wave
    equations. Math. Z. 177 (1981), 323-340.

    Existence in the Large for $u_{tt}- \Delta u=F(u)$ in two
    space dimensions. Math. Z. 178 (1981), 233-261.

    On Symmetric Solutions to the Relativistic Vlasov-Poisson System
    (with J. Schaeffer). Comm. Math. Phys. 101 (1985), 459-473.

    Singularity Formation in a Collisionless Plasma could
    only occur at large velocities (with W. Strauss).
    Arch. Rat. Mech. Anal. 92 (1986), 59-90.

    Absence of Shocks in an Initially Dilute Collisionless
    Plasma (with W. Strauss). Comm. Math. Phys. 113
    (1987), 191-208.

    Global Existence for the Relativistic Vlasov-Maxwell
    System with Nearly Neutral Initial Data (with J. Schaeffer).
    Comm. Math. Phys. 119 (1988), 353-384.

    Convergence of a Particle Method for the
    Relativistic Vlasov-Maxwell System (with J. Schaeffer).
    S.I.A.M. J. Num. Anal. 28 (1991), 1-25.

    Convergence of an energy-preserving scheme for the
    Zakharov Equations in One Space Dimension. Math. of
    Comp. 58 (1992), 83-102.

    Asymptotic Stability of the Relativistic
    Maxwellian (with W. Strauss). Publ. R.I.M.S. Kyoto
    Univ. 29 (1993), 301-347.

    Asymptotic Stability of the Relativistic Maxwellian
    via Fourteen Moments (with W. Strauss). Trans. Th.
    Stat. Phys. 24 (1995), 657-678.

    The Relativistic Vlasov Maxwell System in Two Space Dimensions:
    Parts I and II (with J. Schaeffer).
    Arch. Rat. Mech. Anal. 141 (1998), 331--354 and 355--374

    The "two and one-half Dimensional" Relativistic
    Vlasov Maxwell System (with J. Schaeffer).
    Comm. Math. Phys. 185 (1997), 257-284.

    On Maxwell's equations with a temperature effect, II
    (with H-M Yin).
    Comm. Math. Phys. 194 (1998), 343-358.

    On Global Symmetric Solutions to the Relativistic Vlasov-Poisson Equation in Three Space Dimensions
    (with J. Schaeffer).
    Math. Meth. Appl. Sci., 24 (2001), 143-157.

    Global Solutions to the Cauchy Problem for the Relativistic Boltzmann Equation with near--vacuum data.
    To appear in Comm. Math. Phys.

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    Here are errata for my book Numerical Computation Using C

    (Academic Press, 1992).

    1. On p. 137, line 102, in the conjugate gradient method program

    "cg.c": the iteration is halted by the test

    while (maxnum(n,rnew) > 5.0e-9*maxnum(n,rold));

    Please replace this line by:

    while (maxnum(n,rnew) > 5.0e-9*maxnum(n,x));

    2. On p. 5 near the bottom, a UNIX alias gc is defined. The

    first single quote should be on the right of gc as in

    alias gc 'gcc \!* -lm'

    3. On p. 125, two lines above equation (3.1), the paragraph should begin as follows:

    "Suppose you are trying to differentiate ... "

    Here are errata for my book The Cauchy Problem in Kinetic Theory

    (SIAM, 1996).

    1. On p. 125 in line 5, the coefficient $\gamma$ should appear in front of the last term $E_0 \cdot \nabla_vf_1$.

    2. On p. 180, in the second line of the estimate for term II in the middle of the page, the last integral is missing the $d\,tau$ symbol.

    3. On. p. 187, in the last line of equation (7.16), both terms there should be multiplied by the constant c from the previous line.

    4. On. p. 189, there is an extra integral sign in the second expression for $I_2$.

    5. On p. 197, there is an integral sign missing in the first line of equation (7.57) (the integral over $x$).

    back to Selected Publications

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    Robert Glassey, Department of Mathematics, Rawles Hall, Indiana University, Bloomington, IN 47405-7106

    Phone: (812) 855-8538; Fax: (812) 855-0046

    E-Mail: glassey "at" indiana "dot" edu

    Last updated: August 16, 2005.