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Sufficient conditions are given for the existence of solutions to PDEs defined by monotone operators. An Lp analog of the laplacian is shown to have solutions with this theorem.
Speaker: Dennis Garity
Abstract: This is the second of two talks on certain 3-manifolds that are increasing unions of solid tori. Recently, in a joint paper with Repovs and Wright, we produced infinite classes of such manifolds that were unions of 2 copies of 3-space, and infinite classes that were not such unions. In the first talk, I introduced some of the background information needed including properties of manifolds that are increasing unions of tori and
We prove inequalities that compare the regulator of an algebraic number field with a product of heights of a basis for the group of units in the number field. Because the minimum value of the regulator is known, we get a form of the Lehmer conjecture on average. The proof makes use of an interesting upper bound for a determinant proved by A. Schinzel.
The talk will present three examples of how computation and materials
simulation are being used in the design of smart or functional materials.
The first half of the presentation will focus on tuning thermal conductivity
of metal-organic--frameworks (MOFs) for gas storage applications. Using
atomistic simulations we have shown that intercalating a small quantity of
gas into MOF-5 can increase its thermal conductivity by more than 30-fold.
The guest gas couples localized molecular modes, and in doing so changes the
Be sure to attend the Winter Teaching & Advising Awards Tuesday, February 3!
Loyd E. Carter Award for Outstanding and Inspirational Teaching in Science – Undergraduate
Finalists: Linda Bruslind, Microbiology; Chris Coffin, Physics; Eli Meyer, Integrative Biology; Viviana Perez, Biochemistry and Biophysics; Devon Quick, Integrative Biology; David Wing, Mathematics
Loyd E. Carter Award for Outstanding and Inspirational Teaching in Science – Graduate
Finalists: Tory Hagen, Biochemistry and Biophysics; May Nyman, Chemistry; Weihong Qiu, Physics; Clayton Petsche, Mathematics; Tom Sharpton, Microbiology