Works by Dinh, Van Duong

Results: 20

The Sobolev-Morawetz approach for the energy scattering of nonlinear Schrödinger-type equations with radial data.

Published in:

Discrete & Continuous Dynamical Systems - Series S, 2021, v. 14, n. 8, p. 2837, doi. 10.3934/dcdss.2020407

By:

Dinh, Van Duong;
Keraani, Sahbi

Publication type:

Article

A system of inhomogeneous NLS arising in optical media with a $ \chi^{(2)} $ nonlinearity, part Ⅰ: Dynamics.

Published in:

Communications on Pure & Applied Analysis, 2025, v. 24, n. 4, p. 1, doi. 10.3934/cpaa.2025006

By:

Dinh, Van Duong;
Esfahani, Amin

Publication type:

Article

Random data theory for the cubic fourth-order nonlinear Schrödinger equation.

Published in:

Communications on Pure & Applied Analysis, 2021, v. 20, n. 2, p. 651, doi. 10.3934/cpaa.2020284

By:

Dinh, Van Duong

Publication type:

Article

ON BLOW-UP SOLUTIONS TO THE FOCUSING MASS-CRITICAL NONLINEAR FRACTIONAL SCHRÖDINGER EQUATION.

Published in:

Communications on Pure & Applied Analysis, 2019, v. 18, n. 2, p. 689, doi. 10.3934/cpaa.2019034

By:

Dinh, Van Duong

Publication type:

Article

Existence, non-existence and blow-up behaviour of minimizers for the mass-critical fractional non-linear Schrödinger equations with periodic potentials.

Published in:

Proceedings of the Royal Society of Edinburgh: Section A: Mathematics, 2020, v. 150, n. 6, p. 3252, doi. 10.1017/prm.2019.64

By:

Dinh, Van Duong

Publication type:

Article

Blowup of two-dimensional attractive Bose–Einstein condensates at the critical rotational speed.

Published in:

Annales de l'Institut Henri Poincaré C, 2024, v. 41, n. 5, p. 1055, doi. 10.4171/AIHPC/94

By:

Van Duong Dinh;
Dinh-Thi Nguyen;
Rougerie, Nicolas

Publication type:

Article

Energy scattering for a class of inhomogeneous nonlinear Schrödinger equation in two dimensions.

Published in:

Journal of Hyperbolic Differential Equations, 2021, v. 18, n. 01, p. 1, doi. 10.1142/S0219891621500016

By:

Dinh, Van Duong

Publication type:

Article

Sharp conditions for scattering and blow-up for a system of NLS arising in optical materials with χ<sup>3</sup> nonlinear response.

Published in:

Communications in Partial Differential Equations, 2021, v. 46, n. 11, p. 2134, doi. 10.1080/03605302.2021.1925916

By:

Ardila, Alex H.;
Dinh, Van Duong;
Forcella, Luigi

Publication type:

Article

On Nonlinear Schrödinger Equations with Repulsive Inverse-Power Potentials.

Published in:

Acta Applicandae Mathematicae, 2021, v. 171, n. 1, p. 1, doi. 10.1007/s10440-020-00382-2

By:

Dinh, Van Duong

Publication type:

Article

On well-posedness, regularity and ill-posedness for the nonlinear fourth-order Schrödinger equation.

Published in:

Bulletin of the Belgian Mathematical Society - Simon Stevin, 2018, v. 25, n. 3, p. 415, doi. 10.36045/bbms/1536631236

By:

Dinh, Van Duong

Publication type:

Article

Blow-up criteria for linearly damped nonlinear Schrödinger equations.

Published in:

Evolution Equations & Control Theory, 2021, v. 10, n. 3, p. 599, doi. 10.3934/eect.2020082

By:

Dinh, Van Duong

Publication type:

Article

Existence and stability of standing waves for nonlinear Schrödinger equations with a critical rotational speed.

Published in:

Letters in Mathematical Physics, 2022, v. 112, n. 3, p. 1, doi. 10.1007/s11005-022-01549-8

By:

Dinh, Van Duong

Publication type:

Article

ON NONLINEAR SCHRÖDINGER EQUATIONS WITH ATTRACTIVE INVERSE-POWER POTENTIALS.

Published in:

Topological Methods in Nonlinear Analysis, 2021, v. 57, n. 2, p. 489, doi. 10.12775/TMNA.2020.046

By:

Van Duong Dinh

Publication type:

Article

A system of inhomogeneous NLS arising in optical media with a $ \chi^{(2)} $ nonlinearity, part Ⅱ: Stability of standing waves.

Published in:

Discrete & Continuous Dynamical Systems - Series B, 2025, v. 30, n. 7, p. 1, doi. 10.3934/dcdsb.2024161

By:

Dinh, Van Duong;
Esfahani, Amin

Publication type:

Article

A unified approach for energy scattering for focusing nonlinear Schrödinger equations.

Published in:

Discrete & Continuous Dynamical Systems: Series A, 2020, v. 40, n. 11, p. 6441, doi. 10.3934/dcds.2020286

By:

Dinh, Van Duong

Publication type:

Article

On fractional nonlinear Schrödinger equation with combined power-type nonlinearities.

Published in:

Discrete & Continuous Dynamical Systems: Series A, 2019, v. 39, n. 8, p. 4565, doi. 10.3934/dcds.2019188

By:

Dinh, Van Duong;
Feng, Binhua

Publication type:

Article

Existence and blow‐up behavior of standing waves for the Gross–Pitaevskii functional with a higher order interaction.

Published in:

Mathematical Methods in the Applied Sciences, 2020, v. 43, n. 12, p. 7087, doi. 10.1002/mma.6434

By:

Dinh, Van Duong

Publication type:

Article

Existence and limiting behavior of minimizers for attractive Schrödinger‐Poisson systems with periodic potentials.

Published in:

Mathematical Methods in the Applied Sciences, 2020, v. 43, n. 7, p. 4781, doi. 10.1002/mma.6232

By:

Dinh, Van Duong

Publication type:

Article

Global dynamics for a class of inhomogeneous nonlinear Schrödinger equations with potential.

Published in:

Mathematische Nachrichten, 2021, v. 294, n. 4, p. 672, doi. 10.1002/mana.201900427

By:

Dinh, Van Duong

Publication type:

Article

On the instability of standing waves for the nonlinear Schrödinger equation with inverse-square potential.

Published in:

Complex Variables & Elliptic Equations, 2021, v. 66, n. 10, p. 1699, doi. 10.1080/17476933.2020.1779235

By:

Dinh, Van Duong

Publication type:

Article