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For arbitrary values of a parameter λ ∈ R, finite-time blowup of solutions to the generalized, inviscid Proudman-Johnson equation is studied via a direct approach which involves the derivation of… (More)

- Ralph Saxton, Feride Tiglay
- SIAM J. Math. Analysis
- 2008

This paper provides results on local and global existence for a class of solutions to the Euler equations for an incompressible, inviscid fluid. By considering a class of solutions which exhibits a… (More)

In order to account for low temperature heat propagation phenomena in crystals of sodium fluoride and bismuth, we employ a thermodynamic model for rigid materials involving a vector-field internal… (More)

Based on low temperature experimental data in solid dielectric crystals, we derive a model of heat conduction for rigid materials using the theory of thermodynamic internal state variables. The model… (More)

- Michael Greg Watson, Anja C. Schroder, +47 authors Weixin Yuan
- 2009

Aims. Pointed observations with XMM-Newton provide the basis for creating catalogues of X-ray sources detected serendipitously in each field. This paper describes the creation and characteristics of… (More)

We study geodesics of the H1 Riemannian metric 〈〈u, v〉〉 = ∫ 1 0 〈u(s), v(s)〉+ α2〈u′(s), v′(s)〉 ds on the space of inextensible curves γ : [0, 1]→ R2 with |γ′| ≡ 1. This metric is a regularization of… (More)

AbstractWe prove short-time well-posedness of the Cauchy problem for incompressible strongly elliptic hyperelastic materials.Our method consists in:a)Reformulating the classical equations in order to… (More)

- Katie Saxton, Ralph Saxton
- 2003