The wave propagation for the linearized system of magnetohydrodynamics is investigated This system has characteristic roots of variable multiplicity

Waves in the linearized system of magnetohydrodynamics

The wave propagation for nonstrictly hyperbolic systems whose principal symbol has a Jordan block is considered.

Hyperbolic Systems with Multiplicity Greater Than or Equal to Three

Nikolai Leonidovich Vasilevski was born on January 21, 1948 in Odessa, Ukraine. His father, Leonid Semenovich Vasilevski, was a lecturer at Odessa Institute of Civil Engineering, his mother, Maria Nikolaevna Krivtsova, was a docent at the Department of Mathematics and Mechanics of Odessa State University.

The Life and Work of Nikolai Vasilevski

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Оператор сдвига, порожденный тригонометрической системой@@@Shift operator generated by trigonometric systems

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О спектре конечномерных квадратичных бозевских операторов@@@On the spectra of finite-dimensional quadratic Bose operators

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О задаче с косой производной в теории гальваномагнитных эффектов@@@On the oblique derivative problem in the theory of galvanomagnetic effects

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О теореме существования для гиперболических систем с точкой смены кратности порядка большего или равного трем@@@Existence Theorem for Hyperbolic Systems with a Multiplicity Change Point of at Most the Third Order

We construct a proper canonical transformation that reduces the quadratic Bose operator to a direct sum of finite-dimensional quadratic operators each of which can be reduced by a finite-dimensional canonical transformation to one of the standard forms corresponding to the standard forms of real quadratic Hamiltonians.

Normal forms of quadratic bose operators

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Valeri Kucherenko

Papers

О задаче с косой производной в теории гальваномагнитных эффектов@@@On the oblique derivative problem in the theory of galvanomagnetic effects

Normal forms of quadratic bose operators

Нормальные формы квадратичных бозевских операторов@@@Normal forms of quadratic Bose operators

New formulas for the magnetoresistance