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Anomalous Shock Displacement Probabilities for a Perturbed Scalar Conservation Law
Universite Paris VII Stanford University
2012/6/27
We consider an one-dimensional conservation law with random space-time forcing and calculate using large deviations the exponentially small probabilities of anomalous shock profile displacements. Unde...
Global attractors for the one dimensional wave equation with displacement dependent damping
Attractors wave equations
2011/2/24
We study the long-time behavior of solutions of the one dimensional wave equation with nonlinear damping coefficient. We prove that if the damping coefficient function is strictly
positive near the o...
Improved Lower Bounds for Ginzburg-Landau Energies via Mass Displacement
Ginzburg-Landau Energies Mass Displacement
2010/11/24
We prove some improved estimates for the Ginzburg-Landau energy (with or without magnetic field) in two dimensions, relating the asymptotic energy of an arbitrary configuration to its vortices and th...
Simple model of bouncing ball dynamics: displacement of the table assumed as quadratic function of time
Chaotic Dynamics (nlin.CD)
2010/11/10
Nonlinear dynamics of a bouncing ball moving in gravitational field and colliding with a moving limiter is considered. Displacement of the limiter is a quadratic function of time. Several dynamical mo...
The Modified Upwind Finite Difference Fractional Steps Method for Compressible Two-phase Displacement Problem
Two-phase displacement two-dimensional compressibility modified upwind finite difference fractional steps method convergence
2007/12/11
For compressible two-phase displacement problem, themodified upwind finite difference fractional steps schemes are putforward. Some techniques, such as calculus of variations,commutative law of multip...