SWEMED1 has a weakly hyperbolic fully-settled water-at-rest equilibrium without indicated instability; fast-limit scaling produces a suspended equilibrium still weakly hyperbolic due to transport closure.
Second order ensemble Langevinmethodforsamplingandinverseproblems
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The work introduces a modulation-based analytical method for singularity proofs in singular PDEs and refines ML techniques like PINNs and KANs to identify blowup solutions, with application to the open 3D Keller-Segel problem.
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Water-at-Rest Equilibrium Stability Analysis of a first-moment Shallow Water Exner Moment Model with Sediment Entrainment and Deposition: Extended Technical Report
SWEMED1 has a weakly hyperbolic fully-settled water-at-rest equilibrium without indicated instability; fast-limit scaling produces a suspended equilibrium still weakly hyperbolic due to transport closure.
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Singularity Formation: Synergy in Theoretical, Numerical and Machine Learning Approaches
The work introduces a modulation-based analytical method for singularity proofs in singular PDEs and refines ML techniques like PINNs and KANs to identify blowup solutions, with application to the open 3D Keller-Segel problem.