3 papers
math.AP2026
Diophantine conditions in well-posedness theory for a coupled modulated Korteweg-de Vries system
Thomas Arthur, Damiano Greco, Kotaro Tsugawa
We study the well-posedness theory of a coupled modulated Korteweg-de Vries (KdV) system on the circle with a time non-homogeneous modulation acting on the linear dispersion term.…
math.AP2026
Refined global well-posedness for the periodic modulated Korteweg-de Vries equation
Damiano Greco, Massimiliano Gubinelli, Shao Liu +1
We revisit the pathwise global well-posedness issue of the modulated Korteweg-de Vries equation (KdV) on the circle. In the previous work (2024), by combining the -method and th…
math.AP2026
Unconditional well-posedness of the stochastic Korteweg-de Vries equation on the real line
Damiano Greco, Tadahiro Oh, Kotaro Tsugawa
We study well-posedness issues of the stochastic Korteweg-de Vries equation (SKdV) with an additive noise, posed on the real line. By using the Fourier restriction norm method adap…