Joseph Thirouin

activity

20152018

most citedOn the growth of high Sobolev norms for certain one-dimensional Hamiltonian PDEs

1 citations · 1 across the 3 of their papers we have counts for

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math.AP2018

About the quadratic Szeg{ö} hierarchy

Joseph Thirouin

The purpose of this paper is to go further into the study of the quadratic Szeg{ö} equation, which is the following Hamiltonian PDE : $i \partial_t u = 2 J Π (∣ u ∣^{2}) + J ˉ u^{2}$ , $u(…

math.AP2018

Classification of traveling waves for a quadratic Szeg{ö} equation

Joseph Thirouin

We give a complete classification of the traveling waves of the following quadratic Szeg{ö} equation : $i \partial_t u = 2 J Π (∣ u ∣^{2}) + J ˉ u^{2}, u (0, \cdot) = u_0$ , and we sho…