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 stability and convergence of finite-differnce methods for the "good" Boussinesq equation.
Nonlinear stability of a spatially symmetric solution of the relativistic Poisson-Vlasov equation
Nonlinear stationary surface waves above an underwater ridge.
Nonlinear subelliptic Schrödinger equations with external magnetic field.
Nonlocal problems for the equations of motion of Kelvin-Voigt fluids
Non-periodic solutions to relativistic field equations : hyperbolic case
Non-planar fronts in Boussinesq reactive flows
Nonresonant smoothing for coupled wave + transport equations and the Vlasov-Maxwell system.
Nonstandard Finite Difference Schemes with Application to Finance: Option Pricing
2000 Mathematics Subject Classification: 65M06, 65M12.The paper is devoted to pricing options characterized by discontinuities in the initial conditions of the respective Black-Scholes partial differential equation. Finite difference schemes are examined to highlight how discontinuities can generate numerical drawbacks such as spurious oscillations. We analyze the drawbacks of the Crank-Nicolson scheme that is most frequently used numerical method in Finance because of its second order accuracy....
Nonstandard methods for Navier-Stokes equations
Non-Stationary Burgers Flows with Vanishing Viscosity in Bounded Domains of IR3.
Nonstationary Marangoni convection
Nontrivial solitary waves of GKP equation in multi-dimensional spaces.
Nontrivial solutions of the asymmetric beam system with jumping nonlinear terms.
Non-uniqueness of almost unidirectional inviscid compressible flow
Our aim is to find roots of the non-unique behavior of gases which can be observed in certain axisymmetric nozzle geometries under special flow regimes. For this purpose, we use several versions of the compressible Euler equations. We show that the main reason for the non-uniqueness is hidden in the energy decomposition into its internal and kinetic parts, and their complementary behavior. It turns out that, at least for inviscid compressible flows, a bifurcation can occur only at flow regimes with...