International Webinar: Department of Mathematics
International Webinar: Department of Mathematics
Dear Faculty and Research Scholars,
Hope you are doing well. Department of Mathematics, BITS Pilani (Pilani Campus) is organizing an International Webinar on “Applications of Mathematics.”
The schedule is given below for your reference.
Google meet link: https://meet.google.com/ezk-cgdy-cey
Date and Day: October 23, 2021 (Saturday)
Time: 6:00 PM
About the Speaker: Robert (Bob) Pego is a Professor of Mathematical Sciences at Carnegie Mellon University, USA. His research focuses on nonlinear dynamics in partial differential equations, especially the dynamics of phase transitions, models of clustering, and the stability of solitary waves. He is a SIAM Fellow and an AMS Fellow, and served as editor-in-chief of the SIAM Journal on Mathematical Analysis from 2007 to 2013.
Title of the talk: Dynamics and oscillations in models of coagulation and fragmentation
Abstract of the Talk: Coagulation-fragmentation equations are rather simple-looking kinetic models
for the evolution of the size distribution of clusters, appearing widely in science and technology. But few general analytical results characterize their dynamics. Solutions can exhibit self-similar growth, singular mass transport, and weak or slow approach to equilibrium. I will review some recent results about this for models that lack detailed balance: For a data-driven model of fish school size, we derive results on equilibration and self-similar spreading from the use of Bernstein transforms and complex function theory for Pick or Herglotz functions. Formal modeling of physical Becker-Doering models of nucleation and condensation with small-scale source and large-scale sinks identifies a scaling regime yielding oscillations driven by desyncronization of
supply and removal.
Looking forward to your participation.
Warm Regards,
HoD, MATHS
Hope you are doing well. Department of Mathematics, BITS Pilani (Pilani Campus) is organizing an International Webinar on “Applications of Mathematics.”
The schedule is given below for your reference.
Google meet link: https://meet.google.com/ezk-cgdy-cey
Date and Day: October 23, 2021 (Saturday)
Time: 6:00 PM
About the Speaker: Robert (Bob) Pego is a Professor of Mathematical Sciences at Carnegie Mellon University, USA. His research focuses on nonlinear dynamics in partial differential equations, especially the dynamics of phase transitions, models of clustering, and the stability of solitary waves. He is a SIAM Fellow and an AMS Fellow, and served as editor-in-chief of the SIAM Journal on Mathematical Analysis from 2007 to 2013.
Title of the talk: Dynamics and oscillations in models of coagulation and fragmentation
Abstract of the Talk: Coagulation-fragmentation equations are rather simple-looking kinetic models
for the evolution of the size distribution of clusters, appearing widely in science and technology. But few general analytical results characterize their dynamics. Solutions can exhibit self-similar growth, singular mass transport, and weak or slow approach to equilibrium. I will review some recent results about this for models that lack detailed balance: For a data-driven model of fish school size, we derive results on equilibration and self-similar spreading from the use of Bernstein transforms and complex function theory for Pick or Herglotz functions. Formal modeling of physical Becker-Doering models of nucleation and condensation with small-scale source and large-scale sinks identifies a scaling regime yielding oscillations driven by desyncronization of
supply and removal.
Looking forward to your participation.
Warm Regards,
HoD, MATHS