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Author

Weiguang Huang

6 papers indexed here

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#diffusion models Open access Sep 2026

Review of the Porous-Fisher-KPP Equation: Mathematical Theory and Applications

The Porous-Fisher-Kolmogorov-Petrovsky-Piscounov (Porous-Fisher-KPP) equation is anonlinear degenerate parabolic equation that couples the porous medium equation withthe classical Fisher-KPP reaction-diffusion model. Because its diffusivity vanishes at zerodensity, it supports finite-speed propagation and sharp traveli...

Weiguang Huang · 0 citations
#diffusion models Open access Sep 2026

Fractional-Order Advection–Diffusion Equations: A Critical Review of Physical Origins, Analytical and Numerical Methods, and Applications to 2026

The advection–diffusion equation is the canonical continuum description of transport, yet it fails for a broad class of systems in which particle motion is non-Fickian. Fractional-order advection–diffusion equations replace integer derivatives with operators of non-integer order and, in doing so, encode long-range spat...

Weiguang Huang · 0 citations
#diffusion models Open access Sep 2026

Review of the Porous-Fisher-KPP Equation: Mathematical Theory and Applications

The Porous-Fisher-Kolmogorov-Petrovsky-Piscounov (Porous-Fisher-KPP) equation is anonlinear degenerate parabolic equation that couples the porous medium equation withthe classical Fisher-KPP reaction-diffusion model. Because its diffusivity vanishes at zerodensity, it supports finite-speed propagation and sharp traveli...

Weiguang Huang · 0 citations
#diffusion models Open access Sep 2026

The Burgers-Fisher Equation: Convection, Diffusion, and Reaction in a Single Model -- A Comprehensive Review

The Burgers-Fisher equation unites the two most influential scalar models of nonlinear science: the Burgers equation, which captures the competition between convection and diffusion, and the Fisher-Kolmogorov-Petrovskii-Piskunov (Fisher-KPP) equation, which describes the propagation of reaction fronts. The resulting co...

Weiguang Huang · 0 citations
#diffusion models Open access Sep 2026

The Burgers-Fisher Equation: Convection, Diffusion, and Reaction in a Single Model -- A Comprehensive Review

The Burgers-Fisher equation unites the two most influential scalar models of nonlinear science: the Burgers equation, which captures the competition between convection and diffusion, and the Fisher-Kolmogorov-Petrovskii-Piskunov (Fisher-KPP) equation, which describes the propagation of reaction fronts. The resulting co...

Weiguang Huang · 0 citations
#diffusion models Open access Sep 2026

Fractional-Order Advection–Diffusion Equations: A Critical Review of Physical Origins, Analytical and Numerical Methods, and Applications to 2026

The advection–diffusion equation is the canonical continuum description of transport, yet it fails for a broad class of systems in which particle motion is non-Fickian. Fractional-order advection–diffusion equations replace integer derivatives with operators of non-integer order and, in doing so, encode long-range spat...

Weiguang Huang · 0 citations

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