A Tale of Two Nekrasov’s Integral Equations
نویسندگان
چکیده
One hundred years ago, Nekrasov published the widely cited paper (Nekrasov in Izvestia Ivanovo-Voznesensk Politekhn Inst 3:52–65, 1921), which he derived first of his two integral equations describing steady periodic waves on free surface water. We examine how arrived at these and approach to investigating their solutions. In connection with this, Nekrasov’s life after 1917 is briefly outlined, particular, became a prisoner Stalin’s Gulag. Further results concerning related topics are surveyed.
منابع مشابه
Two Integral Equations.
that g* has the same derived algebra as g itself and that every ideal in g is also an ideal in t*. Let g be any algebraic Lie algebra. Denote by b the radical of g (i.e., the largest solvable ideal in g) and by n the largest ideal of g composed only of nilpotent matrices. By Levi's theorem, g is the direct sum of t and of a semi-simple subalgebra J. It can be proved that f is the direct sum of ...
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ژورنال
عنوان ژورنال: Water Waves
سال: 2021
ISSN: ['2523-367X', '2523-3688']
DOI: https://doi.org/10.1007/s42286-021-00051-3