Let (H, B, u) be an abstract Wiener space. New spaces of test functionals and distributions having kernels of the chaos decomposition in (Hn,n】0) are constructed. Their counterparts over Rm are completely characteriz...Let (H, B, u) be an abstract Wiener space. New spaces of test functionals and distributions having kernels of the chaos decomposition in (Hn,n】0) are constructed. Their counterparts over Rm are completely characterized in terms of the H-transform.展开更多
From a spectral method combined with a predictor-corrector scheme,we numerically study the behavior in time of solutions of the three-dimensional generalized Kadomtsev-Petviashvili equations.In a systematic way,the di...From a spectral method combined with a predictor-corrector scheme,we numerically study the behavior in time of solutions of the three-dimensional generalized Kadomtsev-Petviashvili equations.In a systematic way,the dispersion,the blowup in finite time,the solitonic behavior and the transverse instabilities are numerically inspected.展开更多
文摘Let (H, B, u) be an abstract Wiener space. New spaces of test functionals and distributions having kernels of the chaos decomposition in (Hn,n】0) are constructed. Their counterparts over Rm are completely characterized in terms of the H-transform.
基金This work was partly funded by the ITRANSFLU project of the Regional Council of Picardie in France.
文摘From a spectral method combined with a predictor-corrector scheme,we numerically study the behavior in time of solutions of the three-dimensional generalized Kadomtsev-Petviashvili equations.In a systematic way,the dispersion,the blowup in finite time,the solitonic behavior and the transverse instabilities are numerically inspected.
