34 citations · 81 across the 28 of their papers we have counts for
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Improved existence time for a Boussinesq system
Achenef Tesfahun, Sigmund Selberg
We consider a strongly dispersive Boussinesq-type system arising as a model for the propagation of weakly nonlinear water waves. The system is characterized by a nonlinearity param…
Improved existence time for the Whitham equation and a Whitham-Boussinesq system
Didier Pilod, Sigmund Selberg, Nadia Skoglund Taki +1
In this paper, we investigate the time of existence of the solutions to two full dispersion models derived from the water waves equations in the shallow water regime: the Whitham e…
A conservative stochastic Dirac-Klein-Gordon system
Evgueni Dinvay, Sigmund Selberg
Considered herein is a particular nonlinear dispersive stochastic system consisting of Dirac and Klein-Gordon equations. They are coupled by nonlinear terms due to the Yukawa inter…
Dispersive estimates for full dispersion KP equations
Didier Pilod, Jean-Claude Saut, Sigmund Selberg +1
We prove several dispersive estimates for the linear part of the Full Dispersion Kadomtsev-Petviashvili introduced by David Lannes to overcome some shortcomings of the classical Ka…
Ill-posedness for the Maxwell-Dirac system below charge in space dimension three and lower
Sigmund Selberg, Achenef Tesfahun
The Maxwell-Dirac system describes the interaction of an electron with its self-induced electromagnetic field. In space dimension the system is charge-critical, that is, $L^2…
Ill-posedness of the Thirring model below the critical regularity
Sigmund Selberg, Achenef Tesfahun
We consider a nonlinear -critical nonlinear Dirac equation in one space dimension known as the Thirring model. Global well-posedness in for this equation was proved by C…