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Multi-dimensional Conservation Laws

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学术报告


题目:Multi-dimensional Conservation Laws

报告人:Prof. Maxim V. Pavlov,

            Novosibirsk State University,Russia

摘要:In this talk we introduce a new property of two-dimensional integrable systems----existence of infinitely many local three-dimensional conservation laws for pairs of integrable two-dimensional commuting flows. Infinitely many three-dimensional local conservation laws for the Korteweg de Vries pair of commuting flows and for the Benney commuting hydrodynamic chains are constructed. As a by-product we established a new method for computation of local conservation laws for three dimensional integrable systems. The Mikhalev equation and the dispersionless limit of the Kadomtsev–Petviashvili equation are investigated. All known local and infinitely many new quasi-local three-dimensional conservation laws are presented. Also four-dimensional conservation laws are considered for couples of three dimensional integrable quasilinear systems and for triples of corresponding hydrodynamic chains.In this talk we introduce a new property of two-dimensional integrable systems----existence of infinitely many local three-dimensional conservation laws for pairs of integrable two-dimensional commuting flows. Infinitely many three-dimensional local conservation laws for the Korteweg de Vries pair of commuting flows and for the Benney commuting hydrodynamic chains are constructed. As a by-product we established a new method for computation of local conservation laws for three dimensional integrable systems. The Mikhalev equation and the dispersionless limit of the Kadomtsev–Petviashvili equation are investigated. All known local and infinitely many new quasi-local three-dimensional conservation laws are presented. Also four-dimensional conservation laws are considered for couples of three dimensional integrable quasilinear systems and for triples of corresponding hydrodynamic chains. 

时间:2017年11月23日(星期四)16:15—17:30

地点:逸夫楼1537

邀请人:刘青平

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