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Browsing Mathematics by Title

Ramm, Alexander G.
(World Scientific, 2011)
Manybody quantummechanical scattering problem is solved asymptotically when
the size of the scatterers (inhomogeneities) tends to zero and their number tends to
infinity.
A method is given for calculation of the number ...

Andriychuk, M. I.; Ramm, Alexander G.
(2010)
Combining an asymptotic method and computational modelling the authors propose a method for creating materials with the desired electrodynamical characteristics, in particular, with a desired refraction
coefficient. The ...

Ramm, Alexander G.
(American Institute of Physics (AIP), 2015)
A theory of electromagnetic (EM) wave scattering by many small particles of an arbitrary shape is developed. The particles are perfectly conducting or impedance. For a small impedance particle of an arbitrary shape, an ...

Ramm, Alexander G.
(2011)

Ramm, Alexander G.; Andriychuk, M. I.
(2012)

Ramm, Alexander G.
(2011)
Formulas are derived for solutions of manybody 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 ...

Ramm, Alexander G.
(2011)
Formulas are derived for solutions of manybody 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 ...

Ramm, Alexander G.
(2010)
A class of infinitedimensional dissipative dynamical systems is defined for
which the slow invariant manifolds can be calculated. Largetime behavior of
the evolution of such systems is studied.

Cochrane, Todd E.; Hakami, Ali H.
(2012)

Hoang, N. S.; Ramm, Alexander G.
(2011)

Ramm, Alexander G.
(2013)

Ramm, Alexander G.
(2012)

Ramm, Alexander G.
(2011)

Ramm, Alexander G.
(2002)
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. ...

Ramm, Alexander G.
(2013)
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] = ...

Auckly, David R.
(2014)
Many threedimensional manifolds are twofold branched covers of the threedimensional sphere. However, there are some that are not. This paper includes exposition about twofold branched covers and includes many examples. ...

Ramm, Alexander G.
(2010)

Ramm, Alexander G.
(Centecorp Publishing, 2011)

Ramm, Alexander G.
(2011)
Let q(x) be realvalued 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 ...

Ramm, Alexander G.
(2010)