Yongming Luo

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20232026

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math.AP2023

A Legendre-Fenchel identity for the nonlinear Schrödinger equations on $R^{d} \times T^{m}$ : theory and applications

Yongming Luo

The present paper is inspired by a previous work \cite{Luo_Waveguide_MassCritical} of the author, where the large data scattering problem for the focusing cubic nonlinear Schröding…

math.AP2023

Efficient uncertainty quantification for mechanical properties of randomly perturbed elastic rods

Patrick Dondl, Yongming Luo, Stefan Neukamm +1

Motivated by an application involving additively manufactured bioresorbable polymer scaffolds supporting bone tissue regeneration, we investigate the impact of uncertain geometry p…

A Legendre-Fenchel identity for the nonlinear Schrödinger equations on Rd×Tm: theory and applications

Efficient uncertainty quantification for mechanical properties of randomly perturbed elastic rods

A Legendre-Fenchel identity for the nonlinear Schrödinger equations on $R^{d} \times T^{m}$ : theory and applications