Qirui Peng

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20242026

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math.AP2026

Sharp non-uniqueness of singular solutions to the one-dimensional periodic cubic nonlinear Schrödinger equation

Qirui Peng

We construct by convex integration a nonzero singular weak solution of the one-dimensional periodic cubic nonlinear Schrödinger equation that is compactly supported in time, has ze…

math.AP2026

Onsager-Type Energy Equality and Prodi--Serrin Uniqueness for Nernst--Planck Fluid Systems

Ruimeng Hu, Quyuan Lin, Qirui Peng

We study weak solutions of electrodiffusion systems coupling the Nernst--Planck equations with fluid models. First, for the three-dimensional Nernst--Planck--Euler system, we estab…

math.AP2026

Local well-posedness for the two-and-a-half-dimensional EMHD system with split fractional dissipation

Qirui Peng

We study the $2 \frac{1}{2}$ -dimensional electron magnetohydrodynamics (EMHD) system on $T^{2}$ with componentwise fractional dissipation: $\partial_{t} a + a_{y} b_{x} - a_{x} b_{y} = - Λ^{α} a$ and $…