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.
On the semigroups of age-size dependent population dynamcis with spatial diffusion.
On the singular behavior of solutions of a transmission problem in a dihedral.
On the Singular Set and the Uniqueness of Weak Solutions of the Navier-Stokes Equations.
On the small time asymptotics of the two-dimensional stochastic Navier–Stokes equations
In this paper, we establish a small time large deviation principle (small time asymptotics) for the two-dimensional stochastic Navier–Stokes equations driven by multiplicative noise, which not only involves the study of the small noise, but also the investigation of the effect of the small, but highly nonlinear, unbounded drifts.
On the smallness of the (possible) singular set in space for 3D Navier-Stokes equations.