Browsing Linear and NonLinear Waves by Author "Correia, S."
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Asymptotics in Fourier space of selfsimilar solutions to the modified Kortewegde Vries equation
Correia, S.; Côte, R.; Vega, L. (20180706)We give the asymptotics of the Fourier transform of selfsimilar solutions to the modified Kortewegde Vries equation, through a fixed point argument in weighted $W^{1,\infty}$ around a carefully chosen, two term ansatz. ... 
Asymptotics in Fourier space of selfsimilar solutions to the modified Kortewegde Vries equation
Correia, S.; Côte, R.; Vega, L. (20180706)We give the asymptotics of the Fourier transform of selfsimilar solutions to the modified Kortewegde Vries equation, through a fixed point argument in weighted W1,8 around a carefully chosen, two term ansatz. Such knowledge ... 
Selfsimilar dynamics for the modified Kortewegde Vries equation
Correia, S.; Côte, R.; Vega, L. (20190409)We prove a local well posedness result for the modified Kortewegde Vries equa tion in a critical space designed so that is contains selfsimilar solutions. As a consequence, we can study the flow of this equation around ...