2 papers
math.AP2017
Existence theory for magma equations in dimension two and higher
David M. Ambrose, Gideon Simpson, J. Douglas Wright +1
We examine a degenerate, dispersive, nonlinear wave equation related to the evolution of partially molten rock in dimensions two and higher. This simplified model, for a scalar fie…
math.DS2009
An Invariant Manifold Theory for ODEs and Its Applications
Dennis Guang Yang
For a system of ODEs defined on an open, convex domain containing a positively invariant set , we prove that under appropriate hypotheses, is the graph of a functi…