10 citations · 11 across the 2 of their papers we have counts for
6 papers · 1 filter
Anomalies of the tides
Thomas H. Otway
Unusual features of water waves that Galileo described in a letter to Cardinal Orsini in 1616 are revisited from the perspectives of singular optics and geometric analysis.
Maps and fields with compressible density
Thomas H. Otway
Properties of steady compressible flow for which geometric constraints have been placed on the potential function are derived, under hypotheses on the flow density and the singular…
A boundary-value problem for cold plasma dynamics
Thomas H. Otway
A weak Guderley-Morawetz problem is formulated for a mixed elliptic-hyperbolic system that arises in models of wave propagation in cold plasma. Weak solutions are shown to exist in…
Uniformly and nonuniformly elliptic variational equations with gauge invariance
Thomas H. Otway
A large class of variational equations for geometric objects is studied. The results imply conformal monotonicity and Liouville theorems for steady, polytropic, ideal flow, and the…
Nonlinear Hodge equations in vector bundles
Thomas H. Otway
A gauge-invariant form of the nonlinear Hodge equations is studied.
An elliptic inequality for nonlinear Hodge fields
Thomas H. Otway
A version of the nonlinear Hodge equations is introduced in which the irrotationality condition is weakened. An elliptic estimate for solutions is derived.