Tuoc Van Phan

most citedSmall solutions of nonlinear Schrödinger equations near first excited states

4 citations · 4 across the 2 of their papers we have counts for

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math.AP2011

Stationary Navier-Stokes Equations with Critically Singular External Forces: Existence and Stability Results

Tuoc Van Phan, Nguyen Cong Phuc

We show the unique existence of solutions to stationary Navier-Stokes equations with small singular external forces belonging to a critical space. To the best of our knowledge, thi…

math.AP2010★ 4 cited

Small solutions of nonlinear Schrödinger equations near first excited states

Kenji Nakanishi, Tuoc Van Phan, Tai-Peng Tsai

Consider a nonlinear Schrödinger equation in $R^{3}$ whose linear part has three or more eigenvalues satisfying some resonance conditions. Solutions which are initially small in $H^1…

math.AP2010

Stable Directions for Degenerate Excited States of Nonlinear Schrödinger Equations

Stephen Gustafson, Tuoc Van Phan

We consider nonlinear Schrödinger equations, $i \partial_{t} ψ = H_{0} ψ + λ ∣ ψ ∣^{2} ψ$ in $R^{3} \times [0, \infty)$ , where $H_{0} = - Δ + V$ , $λ = \pm 1$ , the potential $V$ is radial and sp…