Spectra of perturbed semigroups with applications to transport theory
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This article is published in Journal of Mathematical Analysis and Applications.The article was published on 1970-05-01 and is currently open access. It has received 156 citations till now. The article focuses on the topics: Linear transport theory & Neutron transport.read more
Citations
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A spectral mapping theorem for perturbed strongly continuous semigroups
Journal ArticleDOI
Linear instability implies nonlinear instability for various types of viscous boundary layers
B. Desjardins,E. Grenier +1 more
TL;DR: In this paper, it was shown that linear instability of Ekman boundary layers implies nonlinear instability in the L∞ norm, which describes the onset of turbulence at high enough Reynolds numbers.
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The Initial Boundary Value Problem for the Boltzmann Equation with Soft Potential
Shuangqian Liu,Xiongfeng Yang +1 more
TL;DR: In this paper, the authors studied both the diffuse reflection and the specular reflection boundary value problems for the Boltzmann equation with a soft potential, in which the collision kernel is ruled by the inverse power law.
Journal Article
Two-stream instabilities in plasmas
TL;DR: In this article, it was shown that two streams of charged steady fluids with different constant speeds are linearly unstable in a dynamic setting and that they are indeed nonlinearly unstable.
References
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Book
Perturbation theory for linear operators
TL;DR: The monograph by T Kato as discussed by the authors is an excellent reference work in the theory of linear operators in Banach and Hilbert spaces and is a thoroughly worthwhile reference work both for graduate students in functional analysis as well as for researchers in perturbation, spectral, and scattering theory.
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On the spectrum of an unsymmetric operator arising in the transport theory of neutrons
Joseph Lehner,G. Milton Wing +1 more
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Existence and uniqueness of nonnegative eigenfunctions of the Boltzmann operator
TL;DR: In this article, the authors considered the initial value problem and showed that the decay constant X is an eigenvalue of the Boltzmann operator A. The exact domain of definition of A is dependent on the space of functions where A acts, and will be described in Section 2.