The existence of travelling heteroclinic waves for the sine-Gordon lattice is proved for a linear interaction of neighbouring atoms. The asymptotic states are chosen such that the action functional is finite. The proof relies on...
The focus of study is the nonlinear discrete sine-Gordon equation, where the nonlinearity refers to a nonlinear interaction of neighbouring atoms. The existence of travelling heteroclinic, homoclinic and periodic waves is shown....
The existence of travelling heteroclinic waves for the sine-Gordon lattice is proved for a linear interaction of neighbouring atoms. The asymptotic states are chosen such that the action functional is finite. The proof relies on...
The focus of study is the nonlinear discrete sine-Gordon equation, where the nonlinearity refers to a nonlinear interaction of neighbouring atoms. The existence of travelling heteroclinic, homoclinic and periodic waves is shown....
In an attempt to understand the soliton resolution conjecture, we consider
the Sine-Gordon equation on a spherically symmetric wormhole spacetime. We show
that within each topological sector (indexed by a positive integer degree...
Abstract: In an attempt to understand the soliton resolution conjecture, we consider the sine-Gordon equation on a spherically symmetric wormhole spacetime. We show that within each topological sector (indexed by a positive...
Abstract: In an attempt to understand the soliton resolution conjecture, we consider the sine-Gordon equation on a spherically symmetric wormhole spacetime. We show that within each topological sector (indexed by a positive...
The Merry Wives of Windsor A story of LUST, GREED, and DIRTY LAUNDRYBy William Shakespeare, adapted by Daniel Gordon.
Shakespeare's The Merry Wives of Windsor uses more prose than any of his other plays, for indeed, these...
We derive a multiscale generalisation of the Bakry‐Émery criterion for a measure to satisfy a log‐Sobolev inequality. Our criterion relies on the control of an associated PDE well‐known in renormalisation theory: the Polchinski...
Pd 3(OAc) 5NO 2, an impurity in "Pd(OAc) 2" {formally Pd 3(OAc) 6}, emerges as a serious issue in the synthesis of pure Pd II complexes derived from Pd(OAc) 2, for example in our C-H activation precatalyst, Pd(OAc) 2(pip) 2 (pip...
In the past 5 years, there have been several advances in the management of inflammatory bowel disease (IBD). We aim for a new guideline to update the most recent guideline published in 2019. We present the...
PURPOSE: The B-MaP-C study investigated changes to breast cancer care that were necessitated by the COVID-19 pandemic. Here we present a follow-up analysis of those patients commenced on bridging endocrine therapy (BrET), whilst...
Pd 3(OAc) 5NO 2, an impurity in "Pd(OAc) 2" {formally Pd 3(OAc) 6}, emerges as a serious issue in the synthesis of pure Pd II complexes derived from Pd(OAc) 2, for example in our C-H activation precatalyst, Pd(OAc) 2(pip) 2 (pip...
BACKGROUND & AIMS: Vitamin C is an antioxidant with a potential role in the prevention of digestive system cancers, but there is yet no consensus whether vitamin C has a causal role in these cancers. The aim of this study was to...
BACKGROUND: The B-MaP-C study aimed to determine alterations to breast cancer (BC) management during the peak transmission period of the UK COVID-19 pandemic and the potential impact of these treatment decisions. METHODS: This...
After nerve injury, myelin and Remak Schwann cells reprogram to repair cells specialized for regeneration. Normally providing strong regenerative support, these cells fail in aging animals, and during chronic denervation that...
After nerve injury, myelin and Remak Schwann cells reprogram to repair cells specialized for regeneration. Normally providing strong regenerative support, these cells fail in aging animals, and during chronic denervation that...
Benzaldehyde lyase (BAL) results in an efficient biocatalyst for theumpolung carboligation of furfural, HMF, and mixtures of them,leading to blended C10–C12 platform chemicals. Subsequently, themixing and...
Benzaldehyde lyase (BAL) results in an efficient biocatalyst for theumpolung carboligation of furfural, HMF, and mixtures of them,leading to blended C10–C12 platform chemicals. Subsequently, themixing and...
The first search for the doubly heavy $\it{\Omega}_{bc}^{\rm0}$ baryon and a
search for $\it{\Xi}_{bc}^{\rm0}$ baryon are performed using $pp$ collision
data collected via the LHCb experiment from 2016 to 2018 at a...
As a readily available feedstock, styrene with about 25 million tons of global annual production serves as an important building block and organic synthon for the synthesis of fine chemicals, polystyrene plastics, and...
A precision measurement of the $B_{c}^{+}$ meson mass is performed using
proton-proton collision data collected with the LHCb experiment at
centre-of-mass energies of $7, 8$ and $13$ TeV, corresponding to a total
integrated...
The reaction of a new ligand, ethyl 2,6-diphenylisonicotinate (EtO(2)C-CAN boolean AND C-H(2)), with K(2)PtCl(4) in acetic acid affords the monocyclometalated complex [{(EtO(2)C-CANAC-H)Pt(mu-Cl)}(2)] (1), which transforms to...