Papers on Nonlinear Partial Differential Equations
C. J. Holland and J. G. Berryman, ``Exponential convergence for
nonlinear diffusion problems with positive lateral boundary conditions,''
J. Math. Phys. 26, 660-663 (1985).
C. J. Holland and J. G. Berryman, ``The first boundary value
problem for nonlinear diffusion,'' in Trends in the Theory and Practice
of Non-Linear Analysis, edited by V. Lakshmikantham (North-Holland, Amsterdam,
1985), pp. 183-186.
J. G. Berryman, ``Stability analysis of Kamimura-Dawson
diffusion in a collisionless plasma,'' J. Appl. Phys. 54, 425-426
(1983).
J. G. Berryman and C. J. Holland, ``Asymptotic behavior of the
nonlinear diffusion equation n_{t} = (n^{-1}n_{x})_{x},'' J.
Math. Phys. 23, 983-987 (1982).
J. G. Berryman, ``Evolution of a stable profile for a class of
nonlinear diffusion equations III. Slow diffusion on the line,'' J. Math.
Phys. 21, 1326-1331 (1980).
C. J. Holland and J. G. Berryman, ``Stability of the separable solution
for fast diffusion,'' Arch. Rational Mech. Anal. 74, 379-388 (1980).
J. G. Berryman, ``Extinction time for fast diffusion,'' Phys. Lett. A 72,
107-110 (1979).
C. J. Holland and J. G. Berryman, ``A nonlinear generalization
of the heat equation arising in plasma physics,'' in Applied Nonlinear
Analysis, edited by V. Lakshmikantham, Proceedings of an International
Conference on Applied Nonlinear Analysis, April 20-23, 1978, University of
Texas at Arlington (Academic Press, New York, 1979), pp. 61-66.
J. G. Berryman and C. J. Holland, ``Nonlinear diffusion problem arising in
plasma physics,'' Phys. Rev. Lett. 40, 1720-1722 (1978).
J. G. Berryman and C. J. Holland, ``Evolution of a stable profile
for a class of nonlinear diffusion equations II,'' J. Math. Phys.
19, 2476-2480 (1978).
J. G. Berryman, ``Evolution of a stable profile for a class of nonlinear
diffusion equations with fixed boundaries,'' J. Math. Phys. 18, 2108-2115 (1977).
J. R. Drake and J. G. Berryman, ``Theory of nonlinear diffusion
of plasma across the magnetic field of a toroidal multipole,'' Phys.
Fluids 20, 851-857 (1977).
J. G. Berryman, ``Stability of solitary waves in shallow water,''
Phys. Fluids 19, 771-777 (1976).
Other bibliographies