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Semi-classical states for the Nonlinear Schroinger Equation on saddle points of the potential via variational methods
Nonlinear Schrodinger Equation Semiclassical states Variational Methods
2011/9/22
Abstract: In this paper we study semiclassical states for the problem $$ -\eps^2 \Delta u + V(x) u = f(u) \qquad \hbox{in} \RN,$$ where $f(u)$ is a superlinear nonlinear term. Under our hypotheses on ...
Time-Fractional KdV Equation for the plasma in auroral zone using Variational Methods
Korteweg-de Vries Variational Methods auroral zone
2010/4/2
The reductive perturbation method has been employed to derive the Korteweg-de Vries (KdV) equation for small but finite amplitude electrostatic waves. The Lagrangian of the time fractional KdV equatio...
Sensitivity analysis and parameter estimation for distributed hydrological modeling：potential of variational methods
Sensitivity analysis distributed hydrological modeling singular value decomposition
2009/4/28
Variational methods are widely used for the analysis and control of computationally intensive spatially distributed systems. In particular, the adjoint state method enables a very efficient calculatio...