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pro vyhledávání: '"STEWART, GAVIN"'
Autor:
Stewart, Gavin
We consider the asymptotics of the one-dimensional cubic nonlinear Schr\"odinger equation with an external potential $V$ that does not admit bound states. Assuming that $\jBra{x}^{2+}V(x) \in L^1$ and that $u$ is orthogonal to any zero-energy resonan
Externí odkaz:
http://arxiv.org/abs/2408.03391
Autor:
Soffer, Avy, Stewart, Gavin
We study the large-time behavior of global energy class solutions of the one dimensional nonlinear Schr\"odinger equation with a general localized potential term and a defocusing nonlinear term. By using a new type of interaction Morawetz estimate lo
Externí odkaz:
http://arxiv.org/abs/2402.11366
Statistics is sometimes described as the science of reasoning under uncertainty. Statistical models provide one view of this uncertainty, but what is frequently neglected is the invisible portion of uncertainty: that assumed not to exist once a model
Externí odkaz:
http://arxiv.org/abs/2308.11458
Autor:
Stewart, Gavin
We study the asymptotics for the Ablowitz-Ladik equation. By taking appropriate continuum limits, it can be shown that the behavior of the equation near degenerate frequencies is well approximated by a complex modified Korteweg-de Vries equation. Usi
Externí odkaz:
http://arxiv.org/abs/2303.10496
Autor:
Stewart, Gavin
Publikováno v:
Stoch PDE: Anal Comp (2023)
We consider a periodic nonlinear Schr\"odinger equation with white noise dispersion and a power nonlinearity given by \begin{equation*} idu = \Delta u \circ dW_t + |u|^{p-1}u\;dt \end{equation*} By proving stochastic Strichartz estimates, we are able
Externí odkaz:
http://arxiv.org/abs/2208.03391
Autor:
Stewart, Gavin
We study the asymptotics of the complex modified Korteweg-de Vries equation $\partial_t u + \partial_x^3 u = -|u|^2 \partial_x u$, which can be used to model vortex filament dynamics. In the real-valued case, it is known that solutions with small, lo
Externí odkaz:
http://arxiv.org/abs/2111.00630
Autor:
Piras, Simone, Righi, Simone, Setti, Marco, Koseoglu, Nazli, Grainger, Matthew J., Stewart, Gavin B., Vittuari, Matteo
Publikováno v:
Resources, Conservation and Recycling, Volume 176, 2022, 105952, ISSN 0921-3449
Consumer food waste, like many environmental behaviours, takes place in private, and is not directly subject to social monitoring. Nevertheless, social interactions can affect private opinions and behaviours. This paper builds an agent-based model of
Externí odkaz:
http://arxiv.org/abs/2111.03430
Akademický článek
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Akademický článek
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Autor:
O’Connell, Neil, Moore, R. Andrew, Stewart, Gavin, Fisher, Emma, Hearn, Leslie, Eccleston, Christopher, Wewege, Michael, De C Williams, Amanda C.
Publikováno v:
In The Journal of Pain December 2023 24(12):2103-2130
