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math.AP2020★ 18 cited
Long-time existence for semi-linear beam equations on irrational tori
Joackim Bernier, Roberto Feola, Benoît Grébert +1
We consider the semi-linear beam equation on the d dimensional irrational torus with smooth nonlinearity of order n -- 1 with n 3 and d 2. If 1 is the size of…
math.AP2020★ 24 cited
Long time dynamics for generalized Korteweg-de Vries and Benjamin-Ono equations
Joackim Bernier, Benoît Grébert
We provide an accurate description of the long time dynamics of the solutions of the generalized Korteweg-De Vries (gKdV) and Benjamin-Ono (gBO) equations on the one dimension toru…