中国矿业大学（北京）tyc1286太阳成集团
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
欢 迎 参 加
