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Insitute of Mathematical Science

Mini Course:Well-posedness of the Water Wave Equation(2)

Seminar| Institute of Mathematical Sciences

Time: January 6th, 7th and 8th, 2025,10:00-12:00

LocationIMS, RS408

Speaker:Qingtang Su, CAS


Abstract: We mainly introduce how to write the water wave equation as a quasilinear hyperbolic equation, so as to prove its local well-posedness. Furthermore, under the assumption of small initial values, we introduce how to write the water wave equation in a form where the nonlinear term is of degree three, thereby proving its global well-posedness and even the stability of the zero solution.

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