Qi Xu

collaborators

4 papers

math.AP2026

Quantitative Parabolic Decay With Bounded Drift

Igor Kukavica, Qi Xu

A bounded time-dependent drift together with an arbitrarily small real potential can produce double exponential decay of the full spatial $L^{2}$ norm. We prove matching quantitative…

math.AP2026

Gevrey instability in the inviscid inflow-outflow problem

Igor Kukavica, Wojciech Ożański, Qi Xu

We consider the 2D incompressible Euler equations on a periodic channel $T \times (0, 1)$ with inflow-outflow boundary condition $u = (0, 1)$ on $T \times {0, 1}$ . W…

math.AP2026

Euler Immersion

Igor Kukavica, Amjad Tuffaha, Qi Xu

We address the Euler immersion problem, a fluid-structure interaction problem in which an elastic body is immersed in an incompressible inviscid fluid governed by the Euler equatio…

math.AP2026

Analyticity up to the boundary for the divergence equation

Igor Kukavica, Qi Xu

We address analytic regularity for the divergence equation $div u = f$ in $Ω$ , with $u = 0$ on $\partial Ω$ , where $Ω$ is an arbitrary bounded analytic domain and $\int_Ω f\,…