Nonlinear pseudodifferential equations on a half-line with large initial data.
Nonlinear Pulse Propagation
This talk gives a brief review of some recent progress in the asymptotic analysis of short pulse solutions of nonlinear hyperbolic partial differential equations. This includes descriptions on the scales of geometric optics and diffractive geometric optics, and also studies of special situations where pulses passing through focal points can be analysed.
Nonlinear reaction-diffusion models of self-organization and deterministic chaos: theory and possible applications to description of electrical cardiac activity and cardiovascular circulation.
Nonlinear Riemann Boundary Value Problems for a Nonlinear Elliptic System in the Plane.
Nonlinear Scattering for Some Dispersive Equations Generalizing Benjamin-Bona-Mahony Equation.
Nonlinear Schrödinger equation on four-dimensional compact manifolds
We prove two new results about the Cauchy problem in the energy space for nonlinear Schrödinger equations on four-dimensional compact manifolds. The first one concerns global well-posedness for Hartree-type nonlinearities and includes approximations of cubic NLS on the sphere as a particular case. The second one provides, in the case of zonal data on the sphere, local well-posedness for quadratic nonlinearities as well as a necessary and sufficient condition of global well-posedness for small energy...
Nonlinear Schrödinger equation on real hyperbolic spaces
Nonlinear Schrödinger equation with a point defect
Nonlinear singular integral inequalities for functions in two and independent variables.
Nonlinear Small Data Scattering for the Wave and Klein-Gordon Equation.
Non-linear stability analysis of higher order dissipative partial differential equations.
Nonlinear stability and convergence of finite-differnce methods for the "good" Boussinesq equation.
Nonlinear stability of a quasi-static Stefan problem with surface tension : a continuation approach
Nonlinear stability of a spatially symmetric solution of the relativistic Poisson-Vlasov equation
Nonlinear stability of centered rarefaction waves of the Jin-Xin relaxation model for conservation laws.
Non-linear stationary parabolic boundary value problems in an infinite cylinder
Nonlinear stationary surface waves above an underwater ridge.
Nonlinear stochastic heat equations with cubic nonlinearities and additive -regular noise in .
Nonlinear subelliptic Schrödinger equations with external magnetic field.
Nonlinear surface waves under external forcing