$ that we used.
However, we have demonstrated in Section \ref{sec:weak peakons} that peakons are weak solutions to the SCH equation and in Section \ref{sec:numerical convergence} that our discretisation will converge to such solutions.\\
\\
The conclusions that we draw must come with caveats.
There are infinitely many initial conditions that we have not considered, with infinitely many choices of $\varXi$ and infinitely many realisations of the noise.
It may be that peakons might not form under larger values of $\xi$, although the physical motivation of including stochastic transport to represent unresolved processes suggests that values of $\xi$ should be small.
Despite this, we did not see any examples in which a peakon did not appear to form.
In this section we have therefore seen that under the addition of stochastic perturbations both peakon formation and wave breaking can still occur.



\section{Conclusions}
We have considered the Camassa-Holm equation of \cite{camassa1993integrable} with the addition of the stochastic transport of \cite{holm2015variational}.
Taking the advective form of this stochastic Camassa-Holm equation, we showed that peakons are weak solutions to this equation in Section \ref{sec:weak peakons}.
Inspired by looking for weak solutions, we presented a finite element discretisation to the advective form of the equation in Section \ref{sec:discretisation} and demonstrated that it converges to the peakon solutions in Section \ref{sec:numerical convergence}.
The strength of using such a finite element discretisation is that it can be used to describe solutions of the equation through the process of peakon formation. \\
\\
The simulations presented in Section \ref{sec:results} demonstrate the formation of peakons through two mechanisms.
Firstly through wave breaking, as described by the steepening lemma of \cite{camassa1993integrable} when the slope at the inflection point to the right of the initial peak is sufficiently negative.
For shallower initial profiles, peakons can still form without wave breaking taking place. 
Instead, the inflection points rise up the profile without the slope ever turning vertical and the peakon emerges as the inflection points reach the summit.\\
\\
We then investigated these processes with stochastic perturbations using a constant $\varXi$, testing the findings of \cite{crisan2018wave}.
Our results suggest that peakon formation does still occur, and that wave breaking can still occur when the initial slope is steep.
We did not see any examples when peakons did not form in these situations.\\
\\
A clear avenue for further work is to investigate whether spatially-varying $\varXi$ may prevent the formation of peakons.
The (impossibly unlikely) choice of $\sum_j\varXi^j\circ \mathrm{d}W^j=-u \dx{t}$ in equation (\ref{eqn:SCH-eqn}) yields $\dx{u}=0$, suggesting that this may be possible.
We have also not discussed the effect that the noise has upon the time of the peakon formation.
\section*{Acknowledgements and Funding}
All three authors were supported by EPSRC grant EP/N023781/1.
TMB was also supported by the EPSRC Mathematics of Planet Earth Centre for Doctoral Training at Imperial College London and the University of Reading, with grant number EP/L016613/1.
The authors would like to thank the three anonymous reviewers, whose comments and suggestions helped improve the manuscript.
The Harm Reduction Nurses Association (HRNA) is launching an international working group to develop a consensus statement on the role of nurses in supervised drug consumption sites, with a specific focus on the actual role, scope of practice, staffing, training, and support required.
Supervised consumption sites (SCS) have been implemented in Europe, North America and Australia, reaching a total of more than 100 sites. In addition to reducing harms and preventing overdoses and overdose deaths, SCS act as a point of service for people who use drugs to access much needed health care services.
Registered nurses who work in SCS provide the necessary care, support, education, and resources to reduce health risks associated with drug use and improve health. According to the HRNA, whose group will include nurses from Canada, Australia, France, Denmark, Norway, Switzerland, Germany, and Scotland, it has been clearly established that these interventions fall within the legislated scope of practice of registered nurses but the actual role of nurses in SCS remains poorly defined and understood, especially by decision-makers and administrators.
Marilou Gagnon, PhD, Associate Professor in Nursing at the University of Victoria, HRNA President, Co-Chair of the International Working Group and key speaker at SDF’s August conference, said: “This is the first initiative of its kind in the world and we are excited to take on this important work in order to shape practice, policy and operational decisions in SCS”.
Scottish Drugs Forum’s Strategy Coordinator for Drug Death Prevention, Kirsten Horsburgh, is part of the group and will be able to input through her experiences on the Winston Churchill Memorial Trust Fellowship and her work on the proposed safer drug consumption facility in Glasgow.
A CRACK ex-army sniper whose Gold Coast home was raided by Australian Border Force agents earlier this month has been charged with serious weapons offences and will face court next month.
Border Force and Queensland police officers swooped on the Paradise Point home of Afghanistan veteran Robert Marchment on July 4 amid the alleged discovery of explosives.
The street was sealed off and residents locked out for most of the day as ABF agents and plainclothes detectives scoured the Warrie Close residence.
The Courier-Mail can reveal that Marchment, who runs a feral animal extermination business, has now been charged with one count of unlawful possession of category R weapons and unlawful possession of a ballistic vest.
Category R weapons include fully automatic machine guns and submachine guns, electric antipersonnel devices (stun guns), silencers and 'bump stocks'.
He is due to face Southport Magistrates Court on August 8.
Marchment has declined to comment.
After he was revealed as the target of the raid, Marchment changed his Facebook profile which showed him brandishing and shooting guns, which are not the subject of the charge.
His profile said he liked 'back massages and anti-gunners' and that he managed Gold Coast Possum, Bush Turkey and Pest Animal Removal.
There was also a photo of his army certificate in fieldcraft as a sniper, with competencies including the ability to 'kill selected enemy targets with accurate fire' and 'wound or disable enemy targets with harassing fire'.Nobody twisted their arm to join the force. Crime rates aren't that high, and have been on the decline even before the stop and frisk bs, and the militarization of police. people are just cowardly enough to trade their freedom for false comfort. 

Paranoia is rampant because RW propagandists breathlessly rant about "the war on cops" while the orgs training officers are not held to any standard with some of them pushing extremist "warrior of God" mentality. 

I have a new story up. It is the first of two stories from Bronycon 2019. It is called A Letter Short. The idea for the story came to me while sitting in Q&S and a typewriter broke. Well, not when it broke. It broke and then I went to a panel. It was when I returned and sitting next to it that what was said about it when it was being put to the side ran through my head. Specifically the fact that it couldn't be used to write a story.
"But wait. You just posted a blog about Bronycon."
Before I say anything let me preface this with a statement warning that this blog will talk about depression and suicide. If that is something your either uncomfortable about or cant handle this is the point that you should stop reading and move on.
So the first chapter of my first story is ready to go up. However I want to go over it one final time before I push the publish button. Unfortunately that means waiting until tomorrow as I don't have time to go over it before I have to go to my night job. That said I know I read in a guide that writing such stories it is a good idea to write multiple chapters off of the bat however with this one having a holiday theme to go with it I wanted to get it up alone.
Hey bud, thanks for taking an interest in "For the First Time in Forever." Hope you like it.
Thanks for adding Star Overhead to your library. I hope you enjoy it as much as I do.Many volunteers helping out make race day fun for all, especially the race director. We are seeking volunteers for all of events for 2015. There are many tasks that are needed including pre-race shopping, on-day check in, timing, water stops. To make it easier in 2015, I have set up a “Volunteers Event” registration page (which is the same system as for race registration). You simply click on the below link, select the race, pick what you can help out, with, and enter a few basic details. This information will be managed by myself and forwarded only to the Race Director, who will then make contact with you in the lead up to the event. Mums and dads, friends, if you have a junior running we would love for you to help out on the day too!
Adorable review. You made me to book this book and I'm waiting for