Formulas are derived for solutions of many-body wave scattering problems by small
particles in the case of acoustically soft, hard, and impedance particles embedded in
an inhomogeneous medium. The limiting case is ...
Formulas are derived for solutions of many-body wave scattering problems by small
particles in the case of acoustically soft, hard, and impedance particles embedded
in an inhomogeneous medium. The limiting case is ...
A class of infinite-dimensional dissipative dynamical systems is defined for
which the slow invariant manifolds can be calculated. Large-time behavior of
the evolution of such systems is studied.
A review of the author’s results is given. Inversion formulas and stability results
for the solutions to 3D inverse scattering problems with fixed energy data are obtained. Inversion of exact and noisy data is considered. ...
A novel approach to an old symmetry problem is developed. A new proof is given for the following symmetry problem, studied earlier: if Δu = 1 in D ⊂ R[superscript 3], u = 0 on S, the boundary of D, and u[subscript N] = ...
Let q(x) be real-valued compactly supported sufficiently smooth function. It is proved
that the scattering data A(β, α[subscript]0, k) ∀β ∈ S[superscript]2, ∀k > 0, determine q uniquely. Here,
α[subscript]0 ∈ S[superscript]2 ...
Wave scattering problem by many bodies is studied in the case when the bodies are small, ka 1, where a is the characteristic size of a body. The limiting case when a → 0 and the total number of the small bodies is M = ...
In this paper the author’s invited plenary talk at the 7-th PACOM (Pan African
Congress of Mathematicians), is presented. Asymptotic solution to many-body wave scattering problem is given in the case of many small scatterers. ...