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In this paper we describe the asymptotic behavior, in the exponential time scale, of solutions to quasi-linear parabolic equations with a small parameter at the second order term and the long time beh...
Quasi-linear perturbations of a two-dimensional flow with a first integral and the corresponding parabolic PDE’s with a small parameter at the second order derivatives are considered in th...
The development of a quasi-linear gyrokinetic transport model for tokamak plasmas, ultimately designed to provide physically comprehensive predictions of the time evolution of the thermodynamic releva...
In a smooth bounded domain we obtain existence, uniqueness, regularity and boundary behavior for a class of singular quasi-linear elliptic equations.
Abstract: It is shown that for each finite number of Dirac measures supported at points $s_n$ in three-dimensional Euclidean space, with given amplitudes $a_n$, there exists a unique real-valued Lipsc...
Abstract: We prove a global compactness result for Palais-Smale sequences associated with a class of quasi-linear elliptic equations on exterior domains.
In this piece of work, using three spatial grid points, we discuss a new two-level implicit cubic spline method of O(k2 + kh2 + h4) for the solution of quasi-linear parabolic equation , 0< x <1, t > 0...
Based on quasi-linear theory (involving pitch angle scattering), the resonant interactions between ions and waves in an anisotropic multi-component plasma are discussed. In particular, electromagnetic...
Three-dimensional temperature and velocity fields are calculated analytically for a rectangular β-plane ocean model, forced by a prescribed wind stress and surface heat flux. A basic thermal state inv...
We describe the asymptotic behaviour of the solution of a quasi-linear elliptic problem posed in a domain of $\R^n$, $n\geq 3$ and with homogeneous Dirichlet boundary conditions imposed on small zones...
The effect of wind-generated gravity waves on the airflow is discussed using quasi-linear theory of wind-wave generation. In this theory, both the effects of the waves and the effect of air turbulence...
The airflow above ocean waves is calculated using a quasi-linear model—one in which the effect of the waves on the mean flow is taken into account. The model uses curvilinear coordinates, in which one...
A simplified model is described for wave generation and airsea momentum flux. The model is based upon the quasilinear theory employed by Fabrikant and Janssen, in which the mean flow is approximated ...
In this paper, we first give a lower bound of the lifespan and some estimates of classical solutions to the Cauchy problem for general quasi-linear hyperbolic systems, whose characteristic fields are ...
In this paper, we consider a system of two cubic quasi-linear Klein--Gordon equations with different masses for small, smooth, compactly supported Cauchy data in one space dimension. We show that such...

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