Author

Akanksha Gupta

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Preprint Aug 2026

Physics-Informed Kolmogorov-Arnold networks for viscoelastic fluid equations

Kolmogorov-Arnold Networks (KANs), inspired by the Kolmogorov Arnold representation theorem, provide an interpretable alternative to multilayer perceptrons (MLPs) by using learnable activation functions on edges rather than fixed node activations. We propose a Physics-Informed Kolmogorov-Arnold Network (PI-KAN) framewo...

Suryanshu Singh, Midhuna Suresh, Akanksha Gupta · 1 citation

Preprint Sep 2026

Physics-informed neural networks for viscoelastic fluid flows around a cylinder in a two-dimensional channel

Grid-based fluid dynamics solvers routinely struggle with exhaustive meshing demands and ill-posed inverse problems. A practical mesh-free alternative is given by Physics-informed neural networks (PINNs) but, applying them to highly elastic Oldroyd-B fluids results in many training failures. The High Weissenberg Number...

Midhuna Suresh, Akanksha Gupta · 0 citations