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pro vyhledávání: '"Beck, Margaret"'
In the scalar Swift-Hohenberg equation with quadratic-cubic nonlinearity, it is known that symmetric pulse solutions exist for certain parameter regions. In this paper we develop a method to determine the spectral stability of these solutions by asso
Externí odkaz:
http://arxiv.org/abs/2403.04003
Autor:
Bramburger, Jason J., Altschuler, Dylan, Avery, Chloe I., Sangsawan, Tharathep, Beck, Margaret, Carter, Paul, Sandstede, Bjorn
Localized roll patterns are structures that exhibit a spatially periodic profile in their center. When following such patterns in a system parameter in one space dimension, the length of the spatial interval over which these patterns resemble a perio
Externí odkaz:
http://arxiv.org/abs/2203.11345
Autor:
Beck, Margaret E.
This ethnoarchaeological study addresses refuse disposal and site formation processes in a village setting, focusing on one artifact class (ceramics) and one type of refuse accumulation (middens). Archaeologists have long relied on middens for large
Externí odkaz:
http://hdl.handle.net/10150/280257
Publikováno v:
In Journal of Archaeological Science: Reports April 2024 54
Autor:
Beck, Margaret, Jaquette, Jonathan
Classical results from Sturm-Liouville theory state that the number of unstable eigenvalues of a scalar, second-order linear operator is equal to the number of associated conjugate points. Recent work has extended these results to a much more general
Externí odkaz:
http://arxiv.org/abs/2105.06895
Autor:
Beck, Margaret
This article is focused on two related topics within the study of partial differential equations (PDEs) that illustrate a beautiful connection between dynamics, topology, and analysis: stability and spatial dynamics. The first is a property of soluti
Externí odkaz:
http://arxiv.org/abs/1910.08024
It was recently shown by the authors that a semilinear elliptic equation can be represented as an infinite-dimensional dynamical system in terms of boundary data on a shrinking one-parameter family of domains. The resulting system is ill-posed, in th
Externí odkaz:
http://arxiv.org/abs/1907.10372
A characterization of a semilinear elliptic partial differential equation (PDE) on a bounded domain in $\mathbb{R}^n$ is given in terms of an infinite-dimensional dynamical system. The dynamical system is on the space of boundary data for the PDE. Th
Externí odkaz:
http://arxiv.org/abs/1907.09986
The stochastically forced vorticity equation associated with the two dimensional incompressible Navier-Stokes equation on $D_\delta:=[0,2\pi\delta]\times [0,2\pi]$ is considered for $\delta\approx 1$, periodic boundary conditions, and viscocity $0<\n
Externí odkaz:
http://arxiv.org/abs/1905.12589
Taylor diffusion (or dispersion) refers to a phenomenon discovered experimentally by Taylor in the 1950s where a solute dropped into a pipe with a background shear flow experiences diffusion at a rate proportional to $1/\nu$, which is much faster tha
Externí odkaz:
http://arxiv.org/abs/1804.06916