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pro vyhledávání: '"Compaan, Erin"'
In this paper we obtain improved local well-posedness results for the Schr\"odinger-KdV system on the half-line. We employ the Laplace-Fourier method in conjunction with the restricted norm method of Bourgain appropriately modified in order to accomm
Externí odkaz:
http://arxiv.org/abs/2310.13535
In this paper we study the generalized Korteweg de Vries (KdV) equation with the nonlinear term of order three: $(u^{3+1})_x$. We prove sharp local well--posedness for the initial and boundary value problem posed on the right half line. We thus close
Externí odkaz:
http://arxiv.org/abs/1902.07161
Autor:
Compaan, Erin, Tzirakis, Nikolaos
In this paper we study the regularity properties of the "good" Boussinesq equation on the half line. We obtain local existence, uniqueness and continuous dependence on initial data in low-regularity spaces. Moreover we prove that the nonlinear part o
Externí odkaz:
http://arxiv.org/abs/1611.09255
Autor:
Compaan, Erin
In this paper, we consider the Majda-Biello system, a coupled KdV-type system, on the torus. In the first part of the paper, it is shown that, given initial data in a Sobolev space, the difference between the linear and the nonlinear evolution almost
Externí odkaz:
http://arxiv.org/abs/1509.00776
Akademický článek
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Autor:
Eschbach, Reiner, Marcu, Gabriel G., Rizzi, Alessandro, Bayeh, Marzieh, Compaan, Erin, Lindsey, Theodore, Orlow, Nathan, Melczer, Stephen, Voller, Zachary
Publikováno v:
Proceedings of SPIE; January 2014, Vol. 9015 Issue: 1 p90150U-90150U-8, 811359p
