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10/3Special Semester Talk
Dynamics of nonlinear waves and patterns
Bjorn Sandstede (Brown)Special Semester Talk
Thursday, October 3rd, 2019
Dynamics of nonlinear waves and patterns
Bjorn Sandstede (Brown)
03:30 PM  04:30 PM
Storrs Campus
MonteithNonlinear patterns and waves appear in many different systems and on vastly different scales in both time and space: despite this variability, their dynamic behavior is similar across these systems. Mathematical techniques can help identify the origins and common properties of patterns and waves across different applications. Despite many advances, understanding patterns and waves still poses significant mathematical challenges. I will show how a combination of geometric dynamicalsystems ideas combined with PDE approaches can shed light on the existence, stability, and dynamical properties of nonlinear waves and will also discuss applications and open problems.
Contact Information: Xiaodong Yan More

10/73D Printing Workshop
3D Printing Workshop
Monday, October 7th, 2019
04:00 PM  05:00 PM
Storrs Campus
MONT 313Topics covered will be:
General requirements of 3D printing,
Meeting general requirements of 3D printing with Mathematica,
Exporting STL files from Mathematica,
Basic use of TinkerCad,
Importing STL files into TinkerCad,
Exporting STL files from TinkerCad.
What will not be covered:
Sending an STL file to the 3D printer.
(This will be an additional workshop and requires additional online training for information about hazardous materials.
)
Arrangements can be made to print interesting 3D models.
Contact Information: Kevin Marinelli, kevin.marinelli@uconn.edu More

10/17Special Semester Talk
Unfitted finite element methods for PDEs posed on stationary and evolving surfaces
Maxim Olshanskii (U of Houston)Special Semester Talk
Thursday, October 17th, 2019
Unfitted finite element methods for PDEs posed on stationary and evolving surfaces
Maxim Olshanskii (U of Houston)
03:30 PM  04:30 PM
Storrs Campus
MONT 104Partial differential equations posed on surfaces arise in mathematical models for many natural phenomena: diffusion along grain boundaries, lipid interactions in biomembranes, pattern formation, and transport of surfactants on fluidic interfaces to mention a few. Numerical methods for solving PDEs posed on manifolds recently received considerable attention. In this talk, we discuss finite element methods to solve PDES on both stationary surfaces and surface with prescribed evolution. The focus of the talk is on geometrically unfitted methods, i.e. methods that avoid parametrization and triangulation of surfaces in a common sense. We explain how unfitted discretizations facilitate the development of a fully Eulerian numerical framework and enable easy handling of timedependent surfaces including the case of topological transitions. We consider two methods falling in this category: a method based on PDE extensions off the surface and its `dualâ€™ that uses the restrictions of outer finite element spaces to solve PDE on the surface. The application of the latter technique known as Trace FEM or Cut FEM is further demonstrated for a sequence of problems of increasing complexity, ranging from the LaplaceBeltrami equation on a fixed domain to the evolving surface CahnHilliard equation, which models lateral phase separation in plasma membranes undergoing deformation and fusion.
Contact Information: Xiaodong Yan More

10/24Special Semester Talk
Weak solutions, strong solutions, and prediction of the future in Newtonian models
Vladimir Sverak (U of Minnesota)Special Semester Talk
Thursday, October 24th, 2019
Weak solutions, strong solutions, and prediction of the future in Newtonian models
Vladimir Sverak (U of Minnesota)
03:30 PM  04:30 PM
Storrs Campus
Monteith 104An important principle of the Newtonian physics is that a
full knowledge of a given system at some moment of time together with
the equations of motion should uniquely determine the future of the
system. We describe the basic questions in this direction for
equations describing incompressible fluid flows, where our knowledge
is still incomplete. We will also discuss some model equations which
are similar in certain aspects and for which our understanding is
better.
Contact Information: Xiaodong Yan More