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Seminar on nonlinear problems of partial differential equations and mathematical physics
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INITIAL-BOUNDARY VALUE PROBLEMS FOR THE THREE-DIMENSIONAL ZAKHAROV- KUZNETSOV EQUATION A. V. Faminskii Nikol'skii Mathematical Institute of Peoples' Friendship University of Russia, Moscow |
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Abstract: The latest results on global solvability and well-posedness in classes of weak and strong solutions of initial-boundary value problems for the Zakharov-Kuznetsov equation in the case of three spatial variables will be presented. The equation is considered on a domain that is semi-bounded in the direction of wave propagation and bounded in transversal directions. Results on the decay of small solutions at large times will also be presented. |
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