Quantum field theory has enjoyed much success, indeed for ordinary flat spacetime applications it has been experimentally verified to a great deal of accuracy. However on general cursed spacetime backgrounds there is no ...

The generalized variational principle of Herglotz defines the functional whose extrema are sought by a differential equation rather than an integral. It reduces to the classical variational principle under classical cond ...

We discuss a mathematical model arising in the melting of a fluid in two spatial dimensions and in time. The model leads to a free boundary value problem for determining the location of the interface as well as the t ...

We discuss a mathematical model arising in the filtration of a fluid through a porous medium. The model leads to a free boundary value problem whose governing equation depends on the retention function. A numerical ap ...

The last two decades have seen many new continuum models for electromagnetic materials which were constructed by merely adding terms to the classical balance laws and constitutive equations. Nonlocal theories, such as ...

Two problems involving high-resolution reconstruction from nonuniformly sampled data in x-ray computed tomography are addressed. A technique based on the theorem for sampling on unions of shifted lattices is introduced ...

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An obstruction theory is developed for "simplicial bundles" which are generalized fiber bundles (over a simplicial complex). Cross sections of one of the examples of a simplicial bundle given (the Lefschetz bundle) ar ...

Application of a Mellin transform to a series which represents a generalization of the Lerch zeta function yields a transformation series. One obtains the asymptotic behavior of the series, together with some associat ...