All colloquia are on Fridays at 4:00 pm in Van Vleck B239, unless otherwise indicated.
|Jan 23, 4pm||Saverio Spagnolie (Brown)||Hydrodynamics of Self-Propulsion Near a Boundary: Construction of a Numerical and Asymptotic Toolbox||Jean-Luc|
|Jan 27||Ari Stern (UCSD)||Numerical analysis beyond Flatland: semilinear PDEs and problems on manifolds||Jean-Luc / Julie|
|Feb 3||Akos Magyar (UBC)||TBA||Street|
|Feb 10||Melanie Wood (UW Madison)||Counting polynomials and motivic stabilization||local|
|Feb 17||Milena Hering (University of Connecticut)||TBA||Andrei|
|Feb 24||Malabika Pramanik (University of British Columbia)||TBA||Benguria|
|March 2||Guang Gong (University of Waterloo)||TBA||Shamgar|
|March 16||Charles Doran (University of Alberta)||TBA||Matt Ballard|
|March 23||Martin Lorenz (Temple University)||TBA||Don Passman|
|March 30||Wilhelm Schlag (University of Chicago)||TBA||Street|
|April 6||Spring recess|
|April 13||Ricardo Cortez (Tulane)||TBA||Mitchell|
|April 18||Benedict H. Gross (Harvard)||TBA||distinguished lecturer|
|April 19||Benedict H. Gross (Harvard)||TBA||distinguished lecturer|
|April 20||Robert Guralnick (University of South California)||TBA||Shamgar|
|May 4||Mark Andrea de Cataldo (Stony Brook)||TBA||Maxim|
|May 11||Tentatively Scheduled||Shamgar|
Mon, Jan 23: Saverio Spagnolie (Brown)
"Hydrodynamics of Self-Propulsion Near a Boundary: Construction of a Numerical and Asymptotic Toolbox"
The swimming kinematics and trajectories of many microorganisms are altered by the presence of nearby boundaries, be they solid or deformable, and often in perplexing fashion. When an organism's swimming dynamics vary near such boundaries a question arises naturally: is the change in behavior fluid mechanical, biological, or perhaps due to other physical laws? We isolate the first possibility by exploring a far-field description of swimming organisms, providing a general framework for studying the fluid-mediated modifications to swimming trajectories. Using the simplified model we consider trapped/escape trajectories and equilibria for model organisms of varying shape and propulsive activity. This framework may help to explain surprising behaviors observed in the swimming of many microorganisms and synthetic micro-swimmers. Along the way, we will discuss the numerical tools constructed to analyze the problem of current interest, but which have considerable potential for more general applicability.