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20112025
most citedLocal well-posedness for the Zakharov system on multidimensional torus

12 citations · 61 across the 24 of their papers we have counts for

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math.AP2021★ 2 cited

Characterization of three-dimensional Euler flows supported on finitely many Fourier modes

Nobu Kishimoto, Tsuyoshi Yoneda

Recently, the Nash-style convex integration has been becoming the main scheme for the mathematical study of turbulence, and the main building block of it has been either Beltrami f…

math.AP2021

Well-posedness of the Cauchy Problem for the Kinetic DNLS on

Nobu Kishimoto, Yoshio Tsutsumi

We consider the Cauchy problem for the kinetic derivative nonlinear Schrödinger equation on the torus: \[ \partial_t u - i \partial_x^2 u = α\partial_x \big( |u|^2 u \big) + β\part…

math.AP2021★ 1 cited

Invariance of the Gibbs measures for periodic generalized Korteweg-de Vries equations

Andreia Chapouto, Nobu Kishimoto

In this paper, we study the Gibbs measures for periodic generalized Korteweg-de Vries equations (gKdV) with quartic or higher nonlinearities. In order to bypass the analytical ill-…