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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



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.

Website: https://teams.microsoft.com/l/meetup-join/19%3ameeting_YzMyMjgxMjktYTY5ZC00M2Y4LWIzYTgtNDVjNTMxZTM1Njhh%40thread.v2/0?context=%7b%22Tid%22%3a%222ae95c20-c675-4c48-88d3-f276b762bf52%22%2c%22Oid%22%3a%2266c4b047-af30-41c8-9097-2039bac83cbc%22%7d


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