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124 papers · 1 filter
Exact solutions of a mathematical model describing competition and co-existence of different language speakers
Roman Cherniha, Vasyl' Davydovych
The known three-component reaction-diffusion system modeling competition and co-existence of different language speakers is under study. A modification of this system is proposed,…
A reaction-diffusion system with cross-diffusion: Lie symmetry, exact solutions and their applications in the pandemic modeling
Roman Cherniha, Vasyl' Davydovych
A nonlinear reaction-diffusion system with cross-diffusion describing the COVID-19 outbreak is studied using the Lie symmetry method. A complete Lie symmetry classification is deri…
Classification of linear operators satisfying or on a vector space with indefinite scalar product
Victor Senoguchi Borges, Iryna Kashuba, Vladimir V. Sergeichuk +2
We classify all linear operators satisfying and all linear operators satisfying with on a complex, real, or quaternion…
Pairs of commuting nilpotent operators with one-dimensional intersection of kernels and matrices commuting with a Weyr matrix
Vitalij M. Bondarenko, Vyacheslav Futorny, Anatolii P. Petravchuk +1
I.M. Gelfand and V.A. Ponomarev (1969) proved that the problem of classifying pairs (A,B) of commuting nilpotent operators on a vector space contains the problem of classifying an…
Diving below the spin-down limit: Constraints on gravitational waves from the energetic young pulsar PSR J0537-6910
The LIGO Scientific Collaboration, the Virgo Collaboration, the KAGRA Collaboration +1589
We present a search for continuous gravitational-wave signals from the young, energetic X-ray pulsar PSR J0537-6910 using data from the second and third observing runs of LIGO and…
All-sky search in early O3 LIGO data for continuous gravitational-wave signals from unknown neutron stars in binary systems
The LIGO Scientific Collaboration, the Virgo Collaboration, R. Abbott +1369
Rapidly spinning neutron stars are promising sources of persistent, continuous gravitational waves. Detecting such a signal would allow probing of the physical properties of matter…