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Complex bifurcations in Bénard–Marangoni convection

Ivan Sudakow
November 15, 2022
10:20AM - 11:20AM
MW 154

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Add to Calendar 2022-11-15 10:20:00 2022-11-15 11:20:00 Complex bifurcations in Bénard–Marangoni convection Title:  Complex bifurcations in Bénard–Marangoni convection Speaker:  Ivan Sudakow (University of Dayton) Speaker's URL:  https://www.open.ac.uk/people/is2424 Abstract:  We study the dynamics of a system defined by the Navier–Stokes equations for a non-compressible fluid with Marangoni boundary conditions in the two-dimensional case. We show that more complicated bifurcations can appear in this system for a certain nonlinear temperature profile as compared to bifurcations in the classical Rayleigh–Bénard and Bénard–Marangoni systems with simple linear vertical temperature profiles. In terms of the Bénard–Marangoni convection, the obtained mathematical results lead to our understanding of complex spatial patterns at a free liquid surface, which can be induced by a complicated profile of temperature or a chemical concentration at that surface. In addition, we discuss some possible applications of the results to climate science. URL associated with Seminar:  https://research.math.osu.edu/pde/ MW 154 Department of Mathematics math@osu.edu America/New_York public

Title:  Complex bifurcations in Bénard–Marangoni convection

Speaker:  Ivan Sudakow (University of Dayton)

Speaker's URL:  https://www.open.ac.uk/people/is2424

Abstract:  We study the dynamics of a system defined by the Navier–Stokes equations for a non-compressible fluid with Marangoni boundary conditions in the two-dimensional case. We show that more complicated bifurcations can appear in this system for a certain nonlinear temperature profile as compared to bifurcations in the classical Rayleigh–Bénard and Bénard–Marangoni systems with simple linear vertical temperature profiles. In terms of the Bénard–Marangoni convection, the obtained mathematical results lead to our understanding of complex spatial patterns at a free liquid surface, which can be induced by a complicated profile of temperature or a chemical concentration at that surface. In addition, we discuss some possible applications of the results to climate science.

URL associated with Seminar:  https://research.math.osu.edu/pde/

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