COSAM » Events » 2015 » April » Applied Mathematics Seminar

Applied Mathematics Seminar
Time: Apr 03, 2015 (02:00 PM)
Location: Parker Hall 328

Speaker: Prof. Dmitry Glotov
Title: On an inverse coefficient problem with application in geology

Abstract: The distribution of radiogenic $^{40}$Ar formed from decay of $^{40}$K provides a record of the temperature and duration of geologic processes.  We present results of numerical (forward) modeling of accumulation and diffusion of argon in micas.  The inverse problem of determining the temperature as a function of time is not uniquely solvable.  Motivated by data available in geology literature, we introduce an additional integral constraint, incorporate it in a numerical scheme, and address well-posedness of the problem with additional data.

Last updated: 09/11/2015