2 papers
math-ph2008
Slow passage through parametric resonance for a weakly nonlinear dispersive wave
S. Glebov, O. Kiselev, N. Tarkhanov
A solution of the nonlinear Klein-Gordon equation perturbed by a parametric driver is studied. The frequency of the parametric perturbation varies slowly and passes through a reson…
math.AP2007
Rational Approximation for a Quasilinear Parabolic Equation
P. M. Gauthier, N. Tarkhanov
Approximation theorems, analogous to known results for linear elliptic equations, are obtained for solutions of the heat equation. Via the Cole-Hopf transformation, this gives rise…