On the rate of convergence of a collocation projection of the KdV equation
Based on estimates for the KdV equation in analytic Gevrey classes, a spectral collocation approximation of the KdV equation is proved to converge exponentially fast.
On the real analyticity of the scattering operator for the Hartree equation
We study the real analyticity of the scattering operator for the Hartree equation . To this end, we exploit interior and exterior cut-off in time and space, together with a compactness argument to overcome difficulties which arise from absence of good properties as for the Klein-Gordon equation, such as the finite speed of propagation and ideal time decay estimate. Additionally, the method in this paper allows us to simplify the proof of analyticity of the scattering operator for the nonlinear...
On the regular solutions for some classes of Navier-Stokes equations
On the Regularity Conditions for the Navier-Stokes and Related Equations.
On the regularity for solutions of the micropolar fluid equations
On the regularity of a free boundary for a nonlinear obstacle problem arising in superconductor modelling
On the regularity of the bilinear term for solutions to the incompressible Navier-Stokes equations.
We derive various estimates for strong solutions to the Navier-Stokes equations in C([0,T),L3(R3)) that allow us to prove some regularity results on the kinematic bilinear term.
On the regularity of the stationary Navier-Stokes equations
On the regularization error of state constrained Neumann control problems
On the regularization of the pressure field in compressible euler equations
On the relation between the Maslov-Whitham method and the weak asymptotics method
We explain the relation between the weak asymptotics method introduced by the author and V. M. Shelkovich and the classical Maslov-Whitham method for constructing approximate solutions describing the propagation of nonlinear solitary waves.
On the relativistic calculation of the Lamb shift
A relativistic calculation of the Lamb shift, using the classical field created by the Dirac transition currents, is proposed.
On the result of He concerning the smoothness of solutions to the Navier-Stokes equations.
On the Riemann-Hilbert problem in the domain with a nonsmooth boundary.
On the rigidity of minimal mass solutions to the focusing mass-critical NLS for rough initial data.
On the scattering in Gevrey classes for the subcritical Hartree and Schrödinger equations
On the Scattering Matrix for N-Particle Hamiltonians
On the search for singularities in incompressible flows
In these notes we give some examples of the interaction of mathematics with experiments and numerical simulations on the search for singularities.
On the second order slip Reynolds equation with molecular dynamics: existence and uniqueness.
On the Semigroup of the Stokes Operator for Exterior Domains in Lq-Spaces.