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Abstract:
This session is concerned with parabolic-parabolic coupled partial differential equations. It could be the coupling of parabolic domain and hyperbolic domain, like degenerated convection-diffusion equations, or the coupling of parabolic equation and hyperbolic equation in a system of PDEs, like Navier-Stokes equations. There are a lot of applications of this class of equations in physics, fluid dynamics, bio-mathematics, engineering mechanics, material sciences, financial mathematics, etc. There are very rich phenomena caused by the coupling of parabolicity and hyperbolicity, This session is aimed at bring together researchers from this field or even a wider range and make deep discussions.
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