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Sponsored AI Networking Cookbook: Practical recipes for AI-assisted network automation and development AI Networking Cookbook: Practical recipes for AI-assisted network automation and development

Author

Tao Luo

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Preprint Sep 2026

Local Well-posedness of Free Boundary Problems for the Euler--Monge--Amp\`ere Equations

We study the free-boundary Euler--Monge--Amp\`ere system as a conservative relaxation of ideal incompressible fluid motion. The force is determined on the actual fluid domain by a Monge--Amp\`ere equation coupled to a nonlinear boundary condition. For each fixed relaxation parameter, we establish local well-posedness f...

Si-Cheng Liu, Tao Luo · 0 citations

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