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We prove that the initial value problem (IVP) associated to the fifth order KdV equation {equation} \label{05KdV} \partial_tu-\alpha\partial^5_x u=c_1\partial_xu\partial_x^2u+c_2\partial_x(u\partial_x...
In this paper, we describe the asymptotic behaviour of globally defined solutions and of bounded solutions blowing up in finite time of the radial energy-critical focusing non-linear wave equation in ...
Abstract: We show improved local energy decay for the wave equation on asymptotically Euclidean manifolds in odd dimensions in the short range case. The precise decay rate depends on the decay of the ...
Abstract: In the present paper we are concerned with the Novikov--Veselov equation at negative energy, i.e. with the $(2 + 1)$--dimensional analog of the KdV equation integrable by the method of inver...
We consider the Schr¨odinger map initial value problem ( ∂tϕ = ϕ × ϕ ϕ(x, 0) = ϕ0(x), with ϕ0 : R2 ! S2 ֒! R3 a smooth H1 Q map from the Euclidean space R2 ...
An interface stabilised finite element method for the incompressible Navier-Stokes equations is presented. The method inherits the attractive stabilising mechanism of upwinded discon-tinuous Galerkin...
Исследуется сходимость диагональных нелинейных аппрокси-маций Паде–Чебышёва для многозначных аналитических функ-ций, заданных и вещественнозначных на единичном отрезке [−1, 1].Получен аналог кла...
We consider the cubic Nonlinear Schr¨odinger Equation (NLS) in one space dimension, either focusing or defocusing. We prove that the solutions satisfy a-priori local in time Hs bounds in terms of the ...

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