A. Ramm

activity

19992022

most citedWave scattering by many small particles embedded in a medium

91 citations · 266 across the 35 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

math.AP2017

Completeness of the set ${e^{ik β \cdot s}} ∣_{\forall β \in S^{2}}$

A. G. Ramm

It is proved that the set ${e^{ik β \cdot s}} ∣_{\forall β \in S^{2}}$ , where $S^{2}$ is the unit sphere in $R^{3}$ , $k > 0$ is a fixed constant, $k^{2}$ is not a Dirichlet eigenvalue…

math.AP2017

Global existence, uniqueness and estimates of the solution to the Navier-Stokes equations

A. G. Ramm

The Navier-Stokes (NS) problem consists of finding a vector-function $v$ from the Navier-Stokes equations. The solution $v$ to NS problem is defined in this paper as the solution t…

cs.IT2017

Representation of big data by dimension reduction

A. G. Ramm, C. Van

Suppose the data consist of a set $S$ of points $x_{j}, 1 \leq j \leq J$ , distributed in a bounded domain $D \subset R^{N}$ , where $N$ and $J$ are large numbers. In this paper an algor…

Completeness of the set {eikβ⋅s}∣∀β∈S2​

Global existence, uniqueness and estimates of the solution to the Navier-Stokes equations

Representation of big data by dimension reduction

Completeness of the set ${e^{ik β \cdot s}} ∣_{\forall β \in S^{2}}$