G. Gottwald and M. Oliver,
Slow dynamics via degenerate variational
asymptotics,
submitted for publication.
G. Gottwald and M. Oliver,
Boltzmann's dilemma: an
introduction to statistical mechanics via the Kac ring,
SIAM Rev. 51 (2009), 613-635.
O. Bokhove and M. Oliver,
A parcel formulation for Hamiltonian layer
models,
Geophysical and Astrophysical Fluid Dynamics, to appear.
M. Oliver and O. Bühler,
Transparent boundary conditions as
dissipative subgrid closures for
the spectral representation of scalar advection by shear flows,
J. Math. Phys. 48 (2007), 065502, 26 pp.
G. Gottwald, M. Oliver, and N. Tecu,
Long-time accuracy for approximate slow
manifolds in a finite dimensional model of balance,
J. Nonlinear Sci. 17 (2007), 283-307.
O. Bokhove and M. Oliver,
Parcel Eulerian-Lagrangian fluid dynamics of
rotating geophysical flows,
Proc. R. Soc. Lond. A 462 (2006), 2563-2573.
M. Oliver,
Variational asymptotics for rotating shallow
water near geostrophy: A
transformational approach,
J. Fluid Mech. 551 (2006), 197-234.
N.D. Aparicio, S.J.A. Malham, and M. Oliver,
Numerical evaluation of the Evans function by Magnus
integration,
BIT Numerical Mathematics 45 (2005), 219-258.
M. Oliver, M. West, and C. Wulff,
Approximate momentum conservation for spatial
semidiscretizations of nonlinear wave equations,
Numerische Mathematik 97 (2004), 493-535.
R. Ford, S.J.A. Malham, and M. Oliver,
A new model for shallow water in the low Rossby-number limit,
J. Fluid Mech. 450 (2002), 287-296.
M. Oliver,
The Lagrangian averaged Euler equations as the short-time inviscid
limit of the Navier--Stokes equations with Besov class data in
R2,
Communications on Pure and Applied Analysis 1 (2002),
221-235.
M. Oliver and E.S. Titi,
On the domain of analyticity for solutions of second
order analytic nonlinear differential equations,
J. Differential Equations 174 (2001), 55-74.
M. Oliver and S. Shkoller,
The vortex blob method as a second-grade non-Newtonian fluid,
Comm. Partial Differential Equations 26 (2001), 295-314.
M. Oliver and S. Malham,
Accelerating fronts in autocatalysis,
Proc. R. Soc. Lond. A 456 (2000), 1609-1624.
M. Oliver and E.S. Titi,
Gevrey regularity for the attractor of a partially
dissipative model of Bénard convection in a
porous medium,
J. Differential Equations 163 (2000), 292-311.
S. Kouranbaeva and M. Oliver,
Global Well-Posedness for the Averaged Euler Equations in Two
Dimensions,
Phys. D 138 (2000), 197-209.
M. Oliver and E.S. Titi,
Remark on the rate of decay of higher order derivatives
for solutions to the Navier-Stokes equations in
Rn,
J. Funct. Anal. 172 (2000), 1-18.
M. Oliver and E.S. Titi,
Analyticity of the attractor and the number of
determining nodes for a weakly damped driven nonlinear
Schrödinger Equation,
Indiana Univ. Math. J. 47 (1998), 49-74.
M. Oliver,
Justification of the shallow water limit for a rigid lid
flow with bottom topography,
Theoretical and Computational Fluid Dynamics 9
(1997), 311-324.
M. Oliver,
Classical solutions for a generalized Euler equation in
two dimensions,
J. Math. Anal. Appl. 215 (1997), 471-484.
C.D. Levermore and M. Oliver,
Analyticity of solutions for a generalized Euler
equation,
J. Differential Equations 133 (1997), 321-339.
C.D. Levermore and M. Oliver,
Distribution-valued initial data for the complex
Ginzburg-Landau equation,
Comm. Partial Differential Equations 22 (1997), 39-48.
C.D. Levermore, M. Oliver, and E.S. Titi,
Global well-posedness for models of shallow water in a
basin with a varying bottom,
Indiana Univ. Math. J. 45 (1996), 479-510.
C.D. Levermore, M. Oliver, and E.S. Titi,
Global Well-Posedness for the Lake Equations,
Physica D 98 (1996), 492-509.
M. Bartuccelli, J.D. Gibbon, and M. Oliver,
Length scales in solutions of the complex
Ginzburg-Landau equation,
Physica D 89 (1996), 267-286.
C.D. Levermore and M. Oliver,
The complex Ginzburg-Landau equation as a model problem,
in ``Lectures in Applied Mathematics,'' Vol. 31, pp. 141-190,
AMS, Providence, Rhode Island, 1996.
M. Oliver,
A Mathematical Investigation of Models of
Shallow Water with a Varying Bottom,
Ph.D. dissertation,
University of Arizona, Tucson, Arizona, 1996.
M. Oliver,
Attractors, Regularity and Length Scales in the
Complex Ginzburg-Landau Equation with a Nonlinearity
of Arbitrary Order,
Diplomarbeit, WWU Münster and Imperial College, London, 1992.