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»ã±¨ÌáÒª£ºA $q$-partial differential equation is an equation containing unknown multivariable functions and their $q$-partial derivatives, which is a $q$-analogue of the ordinary partial differential equation. The $q$-partial differential equations is a completely new research topic, which reveal some wonderful connections among several branches of mathematics such as $q$-series, $q$-orthogonal polynomials, harmonic analysis, number theory and analytic functions of several complex variables. In this talk, I will intoduce some research research progress in the $q$-partial differential equations with applications.

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