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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...