PDE
Partial differential equations (PDEs) are a core component of modern mathematics and serve as a bridge connecting mathematics with the natural sciences. The characterization and understanding of many fundamental phenomena in nature are grounded in the theoretical framework of PDEs. The analytical tools employed in the study of PDEs draw extensively from several important fields of modern analysis, including harmonic analysis, microlocal analysis, functional analysis, and nonlinear analysis. The PDE team at Zhejiang University focuses on partial differential equations with geometric and physical origins, with particular emphasis on issues of regularity and singularity, stability, and singular limits. Their research encompasses the regularity and hydrodynamic stability of the Navier-Stokes equations and related fluid dynamics equations; the theory of regularity for solutions to nonlinear elliptic equations; the partial regularity and singularity analysis of solutions to PDEs arising from geometric variational problems; the well-posedness and scattering theory for wave and dispersive equations; and the singular limit behavior in various equations. They are also interested in interdisciplinary connections with mechanics, geometry, and mathematical physics.
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Partial differential equations (PDEs) are a core component of modern mathematics and serve as a bridge connecting mathematics with the natural sciences. The characterization and understanding of many fundamental phenomena in nature are grounded in the theoretical framework of PDEs. The analytical tools employed in the study of PDEs draw extensively from several important fields of modern analysis, including harmonic analysis, microlocal analysis, functional analysis, and nonlinear analysis. The PDE team at Zhejiang University focuses on partial differential equations with geometric and physical origins, with particular emphasis on issues of regularity and singularity, stability, and singular limits. Their research encompasses the regularity and hydrodynamic stability of the Navier-Stokes equations and related fluid dynamics equations; the theory of regularity for solutions to nonlinear elliptic equations; the partial regularity and singularity analysis of solutions to PDEs arising from geometric variational problems; the well-posedness and scattering theory for wave and dispersive equations; and the singular limit behavior in various equations. They are also interested in interdisciplinary connections with mechanics, geometry, and mathematical physics.
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