Two-solitons with logarithmic separation for 1D NLS with repulsive delta potential
(with T. Inui).
Preprint, (2023)
[arxiv].
Multi-solitons for the nonlinear Schrodinger equation with repulsive Dirac delta
potential
(with T. Inui and I. Shimizu).
Preprint, (2023)
[arxiv].
Growth rates for anti-parallel vortex tube Euler flows in three and higher dimensions
(with E. Miller and T.-P. Tsai).
Preprint, (2023)
[arxiv].
Scattering and blow-up for threshold even solutions to the nonlinear
Schrodinger equation with repulsive delta potential at low frequencies
(with T. Inui).
Preprint, (2023)
[arxiv].
Threshold even solutions to the nonlinear
Schrodinger equation with delta potential at high frequencies
(with T. Inui).
To appear, Disc. Cont. Dyn. Sys. (2024)
[arxiv].
Blow-up or grow-up for the threshold solutions to the nonlinear
Schrodinger equation
(with T. Inui).
Dyn. of PDE20.3 (2023) 213-225
[arxiv].
Threshold odd solutions to the nonlinear
Schrodinger equation in one dimension
(with T. Inui).
PDE and Appl.3:46 (2022)
[arxiv].
Co-rotational chiral magnetic skyrmions near harmonic maps
(with Li Wang).
J. Fun. Anal.280.4 (2021)
[arxiv].
Solitary waves and dynamics for subcritical perturbations of energy
critical NLS
(with M. Coles).
To appear, Pub. RIMS Kyoto U.56 1-53 (2020)
[arxiv].
Global, decaying solutions of a focusing energy-critical heat equation
in R^4
(with D. Roxanas).
J. Diff. Eq.264.9 (2018) 5894-5927
[arxiv].
Below-threshold solutions of a focusing energy-critical heat
equation in R^4
(with D. Roxanas).
AMS Contemp. Math.725 (2018).
Global solutions for the critical, higher-degree corotational
harmonic map heat flow to S^2
(with D. Roxanas).
Preprint (2017)
[arxiv].
Stability of periodic waves of 1D cubic nonlinear Schroedinger equations
(with S. Le Coz and T.-P. Tsai).
Appl. Math. Res. Exp.2017.2 (2017) 431-487
[arxiv].
A degenerate edge bifurcation in the 1D linearized NLS equation
(with M. Coles).
Disc. Cont. Dyn. Sys. A36.6 (2016) 2991-3000
[arxiv].
On linear instability of solitary waves for the nonlinear Dirac equation
(with A. Comech and M. Guan).
Annales de l'IHP 31.3 (2014) 639-654
[arxiv].
Global well-posedness for 2D radial Schr\"odinger maps into the sphere
(with Eva Koo). Preprint (2011)
[arxiv].
Dynamics of near-harmonic Schroedinger and Landau-Lifshitz maps.
Oberwolfach Report41 (2010) 21-24.
Stable directions for degenerate excited states of nonlinear Schroedinger
equations (with T. Phan).
SIAM J. Math. Anal.43.4 (2011) 1716-1758
[arxiv].
Statics and dynamics of magnetic vortices and of Nielsen-Olesen
(Nambu) strings (with I.M. Sigal and T. Tzanateas).
J. Math. Phys.51 (2010) 015217.
Asymptotic stability, concentration, and oscillation in harmonic map
heat-flow, Landau-Lifshitz, and Schroedinger maps on R^2
(with K. Nakanishi and T.-P. Tsai).
Comm. Math. Phys.300.1 (2010) 205-242
[arxiv].
Stability in H^{1/2} of the sum of K solitons for the Banjamin-Ono
equation (with H. Takaoka and T.-P. Tsai).
J. Math. Phys.50 (2009) 013101.
[arxiv].
Scattering theory for the Gross-Pitaevskii equation in three
dimensions (with K. Nakanishi and T.-P. Tsai).
Comm. Contemp. Math.11 no. 4 (2009) 657-707.
[arxiv].
Dynamic stability and instability of pinned fundamental
vortices (with F. Ting).
J. Nonli. Sci.19 no.4 (2009) 341-374.
Global questions for map evolution equations
(with M. Guan, K. Kang, and T.-P. Tsai).
Singularities in PDE and the Calculus
of Variations, CRM Proc. & Lec. Notes 44 (2008).
Global existence and blow-up for harmonic map heat flow
(with M. Guan and T.-P. Tsai).
J. Diff. Eq.246 no. 1 (2009) 1-20.
Asymptotic stability of harmonic maps under the
Schroedinger flow (with K. Kang and T.-P. Tsai).
Duke Math. J.145 no. 3 (2008) 537-583.
[arxiv].
Interior regularity criteria for suitable weak solutions of the
Navier-Stokes equations (with K. Kang and T.-P. Tsai).
Comm. Math. Phys.273 no. 1 (2007) 161-176.
[arxiv]
Global dispersive solutions for the Gross-Pitaevskii equation in two
and three dimensions (with K. Nakanishi and T.-P. Tsai).
Ann. H. Poincare8 no. 7 (2007), 1303-1331
[arxiv].
Spectra of linearized operators for NLS solitary waves
(with S.-M. Chang, K. Nakanishi and T.-P. Tsai).
SIAM J. Math. Anal.39 no. 4 (2007) 1070-1111.
[arxiv]
Scattering for the Gross-Pitaevskii equation
(with K. Nakanishi and T.-P. Tsai).
Math. Res. Lett.13 no. 2-3 (2006), 273-286
[arxiv].
Schroedinger flow near harmonic maps
(with K. Kang and T.-P. Tsai).
Comm. Pure Appl. Math.60 no. 4 (2007), 463-499.
[arxiv].
Effective dynamics of magnetic vortices
(with I.M. Sigal).
Adv. Math.199 No. 2 (2006), 448-498
[arxiv].
Regularity criteria for suitable weak solutions of the
Navier-Stokes equations near the boundary
(with K. Kang and T.-P. Tsai).
J. Diff. Eq.226 no. 2 (2006), 594-618
[arxiv].
Long time motion of NLS solitary waves in a confining potential
(with L. Jonsson, J. Froehlich, and I.M. Sigal).
Ann. H. Poincare7 (2006), 621-660
[arxiv].
Asymptotic stability and completeness in the energy space
for nonlinear Schroedinger equations with small solitary waves
(with K. Nakanishi and T.-P. Tsai).
Int. Math. Res. Not.No. 66 (2004), 3559-3584
[arxiv].
Solitary wave dynamics in an external potential
(with J. Froehlich, L. Jonsson, and I.M. Sigal).
Comm. Math. Phys.250 (2004), 613-642
[arxiv].
Stability of localized solutions of Landau-Lifshitz equations
(with J. Shatah).
Comm. Pure Appl. Math. 55 no. 9 (2002) 1136-1159
[
pdf].
Dynamic stability of magnetic vortices.
Nonlinearity 15 no. 5 (2002) 1717-1728.
[pdf].
Some mathematical problems in the Ginzburg-Landau theory of
superconductivity.
Nonlinear Dynamics and Renormalization Group.
CRM Proc. Lec. Notes 27 (2001) 77-86.
The stability of magnetic vortices
(with I.M. Sigal).
Comm. Math. Phys. 212 (2000) 257-275
[pdf].
Symmetric solutions of Ginzburg-Landau equations in all dimensions.
Int. Math. Res. Not. 16 (1997) 807-816.
[
pdf].
Stability of vortex solutions of the Ginzburg-Landau heat equation.
Partial Differential Equations and their Applications.
CRM Proc. Lec. Notes 12 (1997) 159-165.