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Energy transfer for solutions to the nonlinear Schrodinger equation on irrational tori

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 نشر من قبل Bobby Wilson
 تاريخ النشر 2021
  مجال البحث
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We analyze the energy transfer for solutions to the defocusing cubic nonlinear Schrodinger (NLS) initial value problem on 2D irrational tori. Moreover we complement the analytic study with numerical experimentation. As a biproduct of our investigation we also prove that the quasi-resonant part of the NLS initial value problem we consider, in both the focusing and defocusing case, is globally well-posed for initial data of finite mass.



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