Published Articles
[1] S. Hadama and Y. Hong: Global well-posedness of the nonlinear Hartree equation for infinitely many particles with singular interaction. Journal of Functional Analysis (2025). Article arXiv.
[2] S. Hadama: Asymptotic stability of a wide class of stationary solutions for the Hartree and Schrödinger equations for infinitely many particles. Annales Henri Lebesgue (2025). Article. arXiv.
Accepted articles
Preprints
[A] S. Hadama: Uniform dispersive estimates for the semi-classical Hartree equation with long-range interaction. arXiv Preprint (2025). Submitted.
[B] S. Hadama and Y. Hong: Semi-classical limit of quantum scattering states for the nonlinear Hartree equation. arXiv Preprint (2025). Submitted.
[C] A. Borie, S. Hadama, and J. Sabin: Scattering for the positive density Hartree equation. arXiv Preprint (2025). Submitted.
[D] S. Hadama and T. Yamamoto: Probabilistic Strichartz estimates in Schatten classes and their applications to the Hartree equation. arXiv Preprint (2023). Submitted.
Talks
[1] 無限粒子系に対するHartree方程式の初期値問題の適切性. 第42回発展方程式若手セミナー, Online, August 31, 2021.
[2] リースポテンシャルを持つ無限粒子系に対するHartree方程式の初期値問題の適切性. 日本数学会2022年度年会, Online, March 30, 2022.
[3] [Invited] Stability of Fermi gas at zero temperature for the Hartree equation. Stochastics and Nonlinear Partial Differential Equations, Osaka Univerisity, December 7, 2022.
[4] Stability of Fermi gas at zero temperature for the Hartree equation. 日本数学会2023年度年会, Chuo University, March 18, 2023.
[5] [Invited] Stability of steady states for the Hartree equation for random fields. Kyoto-CAU Joint Meeting on Nonlinear PDEs, March 29, 2023.
[6] [Invited] Asymptotic stability of steady states of the Hartree equation for infinitely many particles. Geometric Analysis in Harmonic Analysis and PDE: MATRIX–RIMS Tandem Workshop, Kyoto University, March 27, 2023.
[7] [Invited] Asymptotic stability of a wide class of stationary solutions for the Hartree and Schrödinger equations for infinitely many particles. The 9th KTGU Mathematics Workshop for Young Researchers, Kyoto University, October 3, 2023.
[8] [Invited] Asymptotic stability of a wide class of stationary solutions for the Hartree and Schrödinger equations for infinitely many particles. Workshop in Kinetic Theory, POSTECH, January 11, 2024.
[9] [Invited] 無限量子系に対するHartree方程式のランダム化初期値問題．第7回 PDE Workshop in Miyazaki, The University of Miyazaki, January 25, 2024.
[10] [Invited] 無限量子系に対するHartreeおよびSchrödinger方程式の大域適切性. 第17回 若手のための偏微分方程式と数学解析, Kyushu Univerisity, February 14, 2024.
[11] [Invited] Global well-posedness of the Hartree equation for infinitely many particles with singular potential. 津田塾大学PDE Workshop, Tsuda University, February 20, 2024.
[12] 無限量子系に対するHartree方程式の殆ど確実な局所解の存在. 日本数学会2024年度年会, Osaka Metropolitan University, March 19, 2024.
[13] [Invited] Stability of infinite quantum systems. 線形及び非線形分散型方程式の近年の研究, Kyoto University, May 15, 2024.
[14] [Invited] Stability of infinite quantum systems. 熊本大学応用解析セミナー, Kumamoto University, June 8, 2024.
[15] [Invited] Scattering result for the Hartree equation at the positive density. Seminar at Seoul National University, July 11, 2024.
[16] [Invited] Global well-posedness of the Hartree equation for infinitely many particles with singular potential. Spectral problems in mathematical physics, Institut Henri Poincaré, October 14th, 2024.
[17] [Invited] Global well-posedness of the Hartree equation for infinitely many particles with singular potential. Seminar at CY Cergy Paris Université, December 2, 2024.
[18] [Invited] Uniform-in-ℏ dispersive estimates for the Hartree equation. The 16th Nagoya Workshop on Differential Equations, Nagoya University, March 11, 2025.