biharmonic 
Using the representation of the system of Stokes equations in terms of the stream function in a region including a single periodic element, we obtain a boundaryvalue problem for the biharmonic operator.


Planeparallel vortex systems in a viscous incompressible fluid in channels with parallel walls and in a corner with noslip conditions on the walls are investigated on the basis of exact solutions of the biharmonic equation.


A computerbased laser system for the selective diagnostics of hydrogen in gas mixtures based on the coherent antiStokes Raman scattering (CARS) method using biharmonic pumping on the basis of stimulated Raman scattering (SRS) is developed.


It is proved that a function which is biharmonic in a halfstrip and satisfies homogeneous Dirichlet conditions at the base of the strip oscillates.


Zero radius interaction for the biharmonic and polyharmonic equations


Unimprovable derivative estimates of a solution of the dirichlet problem for a biharmonic equation in bounded domains


Completeness and minimality of a half of the set of eigenfunctions for the biharmonic equation in a halfstrip


The weak solvability of the Dirichlet problem for this operator, as well as for an analog of the biharmonic operator, is proved on the basis of the Riesz theorem on the representation of linear functionals.


The Exterior Dirichlet Problem for the Biharmonic Equation: Solutions with Bounded Dirichlet Integral


We study the unique solvability of the Dirichlet problem for the biharmonic equation in the exterior of a compact set under the assumption that a generalized solution of this problem has a bounded Dirichlet integral with weight xa.


On the Critical Exponents of Certain Nonlinear BoundaryValue Problems with Biharmonic Operator in the Exterior of a Ball


Effect of conjugate resonances and bifurcations under the biharmonic excitation of a pendulum with a vibrating suspension axis


In the case of one atom and the biharmonic perturbation, the operator Q is obtained up to the third order of the perturbation theory.


Threedimensional interference effects in the mechanical action of weak biharmonic fields upon particles with the J=0 → J=1 quan


Optical nutation at the Ramanactive transition 6P1/26P3/2 of thallium atoms (ωR/2πc=7793 cm 1) under resonant Raman excitation by a biharmonic picosecond pulsed field, giving rise to substantial motion of the population, is detected.


Nonlinear resonances in the absorption spectrum of the threelevel atomic V system in strong polyharmonic and weak biharmonic fi


The echo signal is excited by biharmonic radiation pulses under twophoton (Raman) resonance conditions.


Two methods of realization of coherent antiStokes Raman scattering (CARS) spectroscopy of organic liquids are described: with a tunable dye laser and by means of biharmonic laser pumping based on stimulated Raman scattering.


It was shown that the state of selfinduced transparency, which is unstable in a harmonic field, can be stable in a biharmonic field.


Tensor components represented as polynomials in Cartesian coordinates satisfy a biharmonic equation.

