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20092026
most citedFocusing Quantum Many-body Dynamics: The Rigorous Derivation of the 1D Focusing Cubic Nonlinear Schrödinger Equation

68 citations · 577 across the 31 of their papers we have counts for

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math.AP2022★ 2 cited

Well/ill-posedness bifurcation for the Boltzmann equation with constant collision kernel

Xuwen Chen, Justin Holmer

We consider the 3D Boltzmann equation with the constant collision kernel. We investigate the well/ill-posedness problem using the methods from nonlinear dispersive PDEs. We constru…