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Wei-Guang Huang

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Review Open access Oct 2026

The Estevez–Prada Equation: A Comprehensive Review with a Focus on High-Dimensional Wave Dynamics

Nonlinear evolution equations in three spatial dimensions underpin the modelling of wave propagation in plasmas, optical fibres, oceans, and complex fluids. The Estevez–Prada equation (EPE), introduced by Estévez and Prada in the early 2000s as a higher-dimensional extension of integrable systems, has recently re-emerg...

Wei-Guang Huang · 0 citations
Review Open access Oct 2026

The Navier–Stokes Equations: A Critical Review of Theory, Computation, Turbulence, and Data-Driven Frontiers

The Navier–Stokes equations describe the motion of viscous fluids and stand at the center of modern fluid mechanics. They also define one of the hardest open problems in mathematics, for the question of whether smooth three-dimensional solutions can develop singularities in finite time remains unresolved. This review p...

Wei-Guang Huang · 0 citations
Review Open access Oct 2026

Fractional Calculus Meets Mathematics Education

Fractional differential equations (FDEs) extend classical calculus to non-integer and even complex orders, providing powerful models for memory-dependent and nonlocal phenomena in science and engineering. At the same time, mathematics education increasingly relies on digital and AI-powered tools to support conceptual u...

Wei-Guang Huang · 0 citations

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