The uniform box product was introduced by Scott Williams in 2001, but very little was done with it until the recent (2010 and 2012) [B1], [H1] dissertations of Jocelyn Bell and Jeffrey Hankins. Their results had to do with two questions that Williams posed a decade earlier: whether the uniform box product of compact spaces is normal, and whether it is paracompact. Hankins answered the latter qu...

Given the prevalence of the use of rhetorical relations in the generation of text (Itovy, 1989; Moore and Paris, 1988; Scott and Souza, 1990), it is surprising how little work has actually been done on the grammatical realization of these relations. Most systems, based on Mann and Thompson's formulation of Rhetorical Structure Theory (Mann and Thompson, 1988), have adopted simplified solutions ...

It is known from the previous works that peakon solutions of Novikov equation are orbitally and asymptotically stable in $H^1$. We prove, via method characteristics, these unstable under $W^{1,\infty}$-perturbations. Moreover, we show small initial $W^{1,\infty}$-perturbations peakons can lead to finite time blow-up corresponding solutions.