DC-PINNs embed derivative constraints into PINN optimization using a minimum principle and adaptive balancing, reducing violations and improving fidelity on heat, finance, and fluid benchmarks.
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Perturbation analysis of low-Re flow in an undulating microchannel shows a hydrodynamic ratchet effect producing ~0.15 μm/s directed transport for micrometer particles when wavelength is ~1 μm.
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Physics-Informed Neural Networks for Solving Derivative-Constrained PDEs
DC-PINNs embed derivative constraints into PINN optimization using a minimum principle and adaptive balancing, reducing violations and improving fidelity on heat, finance, and fluid benchmarks.
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Hydrodynamic Ratchet for Tracer Transport in a Soft Microchannel: A Detailed Analysis
Perturbation analysis of low-Re flow in an undulating microchannel shows a hydrodynamic ratchet effect producing ~0.15 μm/s directed transport for micrometer particles when wavelength is ~1 μm.