In many scientific areas, a deterministic model (e.g., a differential equation) is equipped with parameters. In practice, these parameters might be uncertain or noisy, and so an honest model should provide a statistical description of the quantity of interest. Underlying this computational question is a fundamental one - If two "similar" functio...
Creator:
Sagiv, Amir (Columbia University)
Created:
2021-01-26
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
We present a simple one-dimensional equation modeling slenderjets of a Newtonian fluid in Stokes flow. It would be desirable to have a prooflinking the asymptotics of surface tension driven breakup to the behavior of theinitial condition near the thinnest point of the jet. Despite the apparent simplicity of the equations, the problem is open. I ...
Creator:
Renardy, Michael (Virginia Polytechnic Institute and State University)
Created:
2008-07-15
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
A vector calculus for nonlocal operators is developed, including the definition of nonlocal divergence, gradient, and curl operators and the derivation of the corresponding adjoint operators. Nonlocal analogs of several theorems and identities of the vector calculus for differential operators are also presented. Relationships between the nonloca...
Creator:
Lehoucq, Richard B. (Sandia National Laboratories)
Created:
2013-10-30
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
I shall study the cubic Szegö equation, a nonlinear pseudodifferential evolution equation, on the space of functions with bounded mean oscillation on the circle. Important tools for this study are the John-Nirenberg estimate, the Nirenberg-Nishida abstract form of the Cauchy-Kowalevskaya theorem, and the Nash-Moser theorem.
Creator:
Gerard, Patrick (Université de Paris XI (Paris-Sud))
Created:
2015-11-03
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Nonce collection of four provincial manuscripts. [1] Manuscript fragment records cures of all kinds of ailments and records medical consultations -- [2] Cures for ailments and addresses complex diseases -- [3] Pharmaceutical record with notation and headings -- [4] Excerpt copied from a book.
Created:
1650? - 1701?
Contributed By:
University of Minnesota Libraries, Owen H. Wangensteen Historical Library of Biology and Medicine.
