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Analysis Seminar

Wednesday, April 17, 2024
2:00pm to 3:00pm
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Recent progress on mathematical wave turbulence
Yu Deng, Department of Mathematics, USC,

108 East Bridge

The theory of wave turbulence, which started in the 1920s as the wave analog of Boltzmann's kinetic theory, has been an active field of physics in the last century, with substantial applications in science. In this talk I will review some recent works, joint with Zaher Hani, that establish the rigorous mathematical foundation of this subject. In particular, we present the justification of the wave kinetic equation up to arbitrarily large kinetic time, which is the first long time result ever obtained in any nonlinear kinetic limit.

For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected] or visit