On the Nonlinear PerturbationK(n,m)Rosenau-Hyman Equation: A Model of Nonlinear Scattering Wave

Scattering From Nonlinear Gravity Waves: The "Choppy Wave" Model

To progress in the understanding of the impact of non-linear wave profiles in scattering from sea surfaces, a non-linear model for infinite depth gravity waves is considered. This model, termed the “Choppy Wave Model” (CWM), is based on horizontal deformation of a linear, reference random surface. It is numerically efficient and enjoys explicit second-order statistics for height and slope, whic...

Forced Vibrations for a Nonlinear Wave Equation

On the wave operators for the critical nonlinear Schrodinger equation

We prove that for the L-critical nonlinear Schrödinger equations, the wave operators and their inverse are related explicitly in terms of the Fourier transform. We discuss some consequences of this property. In the onedimensional case, we show a precise similarity between the L-critical nonlinear Schrödinger equation and a nonlinear Schrödinger equation of derivative type.

a study on insurer solvency by panel data model: the case of iranian insurance market

the aim of this thesis is an approach for assessing insurer’s solvency for iranian insurance companies. we use of economic data with both time series and cross-sectional variation, thus by using the panel data model will survey the insurer solvency.

Regularity and Scattering for the Wave Equation with a Critical Nonlinear Damping

We show that the nonlinear wave equation u + ut = 0 is globally well-posed in radially symmetric Sobolev spaces Hk rad(R 3) × Hk−1 rad (R 3) for all integers k > 2. This partially extends the well-posedness in Hk(R3) × Hk−1(R3) for all k ∈ [1, 2], established by Lions and Strauss [12]. As a consequence we obtain the global existence of C∞ solutions with radial C∞ 0 data. The regularity problem ...