Kim, Jeongho; Moon, Bora Quantified asymptotic analysis for the relativistic quantum mechanical system with electromagnetic fields. (English) Zbl 07980306 J. Math. Anal. Appl. 543, No. 2, Part 2, Article ID 128927, 28 p. (2025). MSC: 35Q40 35Q55 35Q60 78A35 78A30 81T13 81Q05 81R30 35C08 35B40 × Cite Format Result Cite Review PDF Full Text: DOI
Clapp, Mónica; Hernández-Santamaría, Víctor; Saldaña, Alberto Positive and nodal limiting profiles for a semilinear elliptic equation with a shrinking region of attraction. (English) Zbl 07955742 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 251, Article ID 113680, 15 p. (2025). MSC: 35J61 35J10 35Q55 35A01 35B40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Killip, Rowan; Ouyang, Zhimeng; Visan, Monica; Wu, Lei The modified Korteweg-de Vries limit of the Ablowitz-Ladik system. (English) Zbl 07946854 Discrete Contin. Dyn. Syst. 45, No. 3, 821-846 (2025). MSC: 37K10 37K60 35Q53 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Iacobelli, Mikaela; Lafleche, Laurent Enhanced stability in quantum optimal transport pseudometrics: from Hartree to Vlasov-Poisson. (English) Zbl 07955012 J. Stat. Phys. 191, No. 12, Paper No. 157, 18 p. (2024). MSC: 81Q20 81S30 35Q83 35Q55 82C10 49Q22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Badreddine, Rana Zero-dispersion limit of the Calogero-Moser derivative NLS equation. (English) Zbl 07947656 SIAM J. Math. Anal. 56, No. 6, 7228-7249 (2024). MSC: 37K10 37K55 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tan, Liwei; Huang, Minsheng; Ying, Wenjun A GPU-accelerated Cartesian grid method for the heat, wave and Schrödinger equations on irregular domains. (English) Zbl 07927766 Commun. Comput. Phys. 36, No. 2, 485-520 (2024). MSC: 65M38 65M06 65N38 65B05 65Y10 65M80 44A10 35Q55 35Q41 35Q79 35Q60 65D07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chong, Jacky J.; Lafleche, Laurent; Saffirio, Chiara From many-body quantum dynamics to the Hartree-Fock and Vlasov equations with singular potentials. (English) Zbl 07927747 J. Eur. Math. Soc. (JEMS) 26, No. 12, 4923-5007 (2024). MSC: 35Q41 35Q55 35Q83 35Q40 82C10 81V74 81V70 35B65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Raju, Thokala Soloman; Shreecharan, T. A study of phase-space dynamics for orthogonal polynomial self-interactions. (English) Zbl 1546.34049 Int. J. Theor. Phys. 63, No. 5, Paper No. 121, 14 p. (2024). MSC: 34C05 35Q55 33C45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Yanping; Yu, Liu; Yao, Changhui An implicit-explicit relaxation extrapolated Runge-Kutta and energy-preserving Finite element method for Klein-Gordon-Schrödinger equations. (English) Zbl 07861507 Commun. Nonlinear Sci. Numer. Simul. 135, Article ID 108082, 17 p. (2024). MSC: 65M60 65L06 65B05 65M12 65M15 35Q55 35Q41 35Q40 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Qingxuan; Xu, Zefeng Limit behaviors of pseudo-relativistic Hartree equation with power-type perturbations. (English) Zbl 1541.35411 J. Math. Anal. Appl. 537, No. 2, Article ID 128390, 32 p. (2024). MSC: 35Q40 35Q55 35C08 35B25 35B40 35B44 35A01 81V70 × Cite Format Result Cite Review PDF Full Text: DOI
Kim, Jeongho; Moon, Bora Hydrodynamic limit of the Maxwell-Schrödinger equations to the compressible Euler-Maxwell equations. (English) Zbl 1539.35240 J. Differ. Equations 397, 34-54 (2024). MSC: 35Q55 35Q41 35B40 35Q60 35Q31 76N10 76Y05 78A60 × Cite Format Result Cite Review PDF Full Text: DOI
Dovetta, Simone Singular limit of periodic metric grids. (English) Zbl 1540.35323 Adv. Math. 444, Article ID 109633, 52 p. (2024). MSC: 35Q40 35Q55 35R02 49J40 81Q35 35B40 35B38 35A23 35A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Jin; Zhang, Da-jun; Zhao, Xuehui Symmetries of the D\(\Delta\)mKP hierarchy and their continuum limits. (English) Zbl 1535.35163 Stud. Appl. Math. 152, No. 1, 404-430 (2024). MSC: 35Q53 35Q55 35Q51 35A30 37K60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chauleur, Quentin Growth of Sobolev norms and strong convergence for the discrete nonlinear Schrödinger equation. (English) Zbl 1534.35364 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 242, Article ID 113517, 20 p. (2024). MSC: 35Q55 35Q41 37K60 35J05 39A12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Morin, Léo Tunneling effect between radial electric wells in a homogeneous magnetic field. (English) Zbl 1534.35374 Lett. Math. Phys. 114, No. 1, Paper No. 29, 16 p. (2024). MSC: 35Q55 35B40 35P15 35J10 81U26 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Yuting; Feng, Xinlong; Qian, Lingzhi A second-order \(L2\)-\(1_\sigma\) difference scheme for the nonlinear time-space fractional Schrödinger equation. (English) Zbl 1533.65133 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107839, 15 p. (2024). MSC: 65M06 65N06 65M12 65M15 65B05 26A33 35R11 35Q55 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Sheng-en; Ge, Yongbin; Wang, Shuaikang Conservative higher-order finite difference scheme for the coupled nonlinear Schrödinger equations. (English) Zbl 1533.65125 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107797, 20 p. (2024). MSC: 65M06 65N06 65M12 65M15 65B05 78A60 35Q55 35Q41 35Q60 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Gengen; Su, Chunmei Uniform error bounds of a conservative compact finite difference method for the quantum Zakharov system in the subsonic limit regime. (English) Zbl 1549.65308 J. Comput. Math. 42, No. 1, 289-312 (2024). MSC: 65M06 35Q55 65M12 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Choi, Mi-Ran; Lee, Young-Ran Continuum limit related to dispersion managed nonlinear Schrödinger equations. (English) Zbl 1528.35157 J. Math. Anal. Appl. 530, No. 2, Article ID 127749, 20 p. (2024). MSC: 35Q55 35Q41 35Q60 78A60 78A50 35R09 35C08 35A01 35A02 39A14 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Khablov, Vladislav Vladimirovich Flows of quasi-classical trajectories and asymptotics solutions of the Schrödinger equation. (Russian. English summary) Zbl 1543.76019 Sib. Èlektron. Mat. Izv. 20, No. 2, 773-784 (2023). MSC: 76B47 35B40 35Q55 35R03 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Ma, Liyuan; Song, Haifang; Zhang, Yanli; Shen, Shoufeng Continuum limits for rational, breather solutions, and gauge equivalent model of the generalized discrete nonlinear Schrödinger equation. (English) Zbl 1534.35372 Math. Methods Appl. Sci. 46, No. 17, 17980-17995 (2023). MSC: 35Q55 35Q51 × Cite Format Result Cite Review PDF Full Text: DOI
Lu, Yufeng Well-posedness of generalized KdV and one-dimensional fourth-order derivative nonlinear Schrödinger equations for data with an infinite \(L^2\) norm. (English) Zbl 1529.35444 Stud. Appl. Math. 150, No. 3, 883-898 (2023). MSC: 35Q53 35Q55 35Q41 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grinshpon, Yoel Limit theorems on the mesoscopic scale for the Anderson model. (English) Zbl 1530.37074 J. Spectr. Theory 13, No. 1, 133-151 (2023). MSC: 37H10 47H40 60F05 81Q10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tentarelli, Lorenzo A general review on the NLS equation with point-concentrated nonlinearity. (English) Zbl 1523.35250 Commun. Appl. Ind. Math. 14, No. 1, 62-84 (2023). MSC: 35Q40 35Q55 35R06 81Q99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Qi, Shijie; Zou, Wenming Mass threshold of the limit behavior of normalized solutions to Schrödinger equations with combined nonlinearities. (English) Zbl 1525.35087 J. Differ. Equations 375, 172-205 (2023). MSC: 35J10 35J61 35B09 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Taiyong; Jiang, Yahui; Squassina, Marco; Zhang, Jianjun Semiclassical states for coupled nonlinear Schrödinger equations with critical frequency. (English) Zbl 1522.35462 Asymptotic Anal. 134, No. 1-2, 127-154 (2023). MSC: 35Q55 35Q41 35A15 35B09 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dong, Xiaojing; Ding, Yanheng; Guo, Qi Nonrelativistic limit and nonexistence of stationary solutions of nonlinear Dirac equations. (English) Zbl 1527.35326 J. Differ. Equations 372, 161-193 (2023). MSC: 35Q41 35Q55 35Q60 78A60 35A15 35M30 15A67 81V45 × Cite Format Result Cite Review PDF Full Text: DOI
Maeda, Masaya; Yoneda, Masafumi Asymptotic stability of soliton for discrete nonlinear Schrödinger equation on one-dimensional lattice. (English) Zbl 1522.35473 SUT J. Math. 59, No. 1, 11-32 (2023). MSC: 35Q55 35Q41 37K40 35C08 35B40 35B35 78A60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cai, Yongyong; Zhou, Xuanxuan Uniformly accurate nested Picard iterative integrators for the Klein-Gordon-Schrödinger equation in the nonrelativistic regime. (English) Zbl 07730433 Numer. Algorithms 94, No. 1, 371-396 (2023). MSC: 65-XX 35Q41 65M70 65N35 × Cite Format Result Cite Review PDF Full Text: DOI
Kim, Jeongho; Moon, Bora Quantified hydrodynamic limits for Schrödinger-type equations without the nonlinear potential. (English) Zbl 1522.35471 J. Evol. Equ. 23, No. 3, Paper No. 51, 27 p. (2023). MSC: 35Q55 35Q41 35Q40 35B40 76Y05 × Cite Format Result Cite Review PDF Full Text: DOI
Lafleche, Laurent; Saffirio, Chiara Strong semiclassical limits from Hartree and Hartree-Fock to Vlasov-Poisson equations. (English) Zbl 1515.35228 Anal. PDE 16, No. 4, 891-926 (2023). MSC: 35Q41 35Q55 82C10 35Q83 82C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kim, Jeongho; Moon, Bora Hydrodynamic limits of Manton’s Schrödinger system. (English) Zbl 1517.35208 Commun. Pure Appl. Anal. 22, No. 7, 2278-2297 (2023). MSC: 35Q55 35Q41 35Q31 35Q56 76Y05 76U60 35B40 × Cite Format Result Cite Review PDF Full Text: DOI
Killip, Rowan; Ouyang, Zhimeng; Visan, Monica; Wu, Lei Continuum limit for the Ablowitz-Ladik system. (English) Zbl 1517.35207 Nonlinearity 36, No. 7, 3751-3775 (2023). MSC: 35Q55 37K06 37K10 37K60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Leopold, Nikolai; Saffirio, Chiara Propagation of moments for large data and semiclassical limit to the relativistic Vlasov equation. (English) Zbl 1520.35151 SIAM J. Math. Anal. 55, No. 3, 1676-1706 (2023). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q83 35Q41 35Q55 82C10 70H40 81Q20 81V70 35A01 35A02 35B65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Choi, Brian; Aceves, Alejandro Continuum limit of 2D fractional nonlinear Schrödinger equation. (English) Zbl 1514.35405 J. Evol. Equ. 23, No. 2, Paper No. 30, 35 p. (2023). MSC: 35Q55 35Q41 35Q40 35Q60 78A60 35B30 35B44 37K60 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chong, Jacky J.; Lafleche, Laurent; Saffirio, Chiara On the \(L^2\) rate of convergence in the limit from the Hartree to the Vlasov-Poisson equation. (Sur le taux de convergence dans \(L^2\) dans La limite de l’équation de Hartree à l’équation de Vlasov-Poisson.) (English. French summary) Zbl 1522.81084 J. Éc. Polytech., Math. 10, 703-726 (2023). MSC: 81Q20 35Q55 35Q83 82C10 82C05 78A25 35Q75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jahnke, Tobias; Kirn, Michael On numerical methods for the semi-nonrelativistic limit system of the nonlinear Dirac equation. (English) Zbl 1512.35502 BIT 63, No. 2, Paper No. 26, 28 p. (2023). MSC: 35Q41 81Q05 65M12 65M15 65M70 65D32 × Cite Format Result Cite Review PDF Full Text: DOI
Buks, Eyal Thermalization and disentanglement with a nonlinear Schrödinger equation. (English) Zbl 1519.81353 J. Phys. A, Math. Theor. 56, No. 2, Article ID 025302, 10 p. (2023). MSC: 81S22 80A10 35Q55 81R25 81P40 70K05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Coron, Jean-Michel; Xiang, Shengquan; Zhang, Ping On the global approximate controllability in small time of semiclassical 1-D Schrödinger equations between two states with positive quantum densities. (English) Zbl 1504.35469 J. Differ. Equations 345, 1-44 (2023). MSC: 35Q55 35Q41 35Q31 35C20 93B05 93C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Hong, Younghun; Kwak, Chulkwang; Yang, Changhun On the continuum limit for the discrete nonlinear Schrödinger equation on a large finite cubic lattice. (English) Zbl 1503.35210 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 227, Article ID 113171, 26 p. (2023). Reviewer: Hajer Bahouri (Paris) MSC: 35Q55 81T27 82B40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kang, Jin-Cai; Liu, Xiao-Qi; Tang, Chun-Lei Chern-Simons limit of ground state solutions for the Schrödinger equations coupled with a neutral scalar field. (English) Zbl 1503.35211 J. Differ. Equations 343, 152-185 (2023). MSC: 35Q55 35A09 35A15 35B40 35B06 35R01 × Cite Format Result Cite Review PDF Full Text: DOI
Kong, Yuzhen; Cui, Zhiyuan; Zhao, Dun Limit behavior of ground states of 2D binary BECs in steep potential wells. (English) Zbl 1513.35224 Acta Math. Sci., Ser. B, Engl. Ed. 43, No. 1, 409-438 (2023). MSC: 35J50 35Q40 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Dymov, Andrey; Kuksin, Sergei Formal expansions in stochastic model for wave turbulence. II: Method of diagram decomposition. (English) Zbl 1504.35474 J. Stat. Phys. 190, No. 1, Paper No. 3, 42 p. (2023). MSC: 35Q55 35Q41 76B15 76F55 76M35 35L05 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Katherine Zhiyuan Effective dynamics of the vector nonlinear Schrödinger equations on large domains. (English) Zbl 1498.35522 J. Math. Anal. Appl. 517, No. 2, Article ID 126636, 39 p. (2023). MSC: 35Q55 35Q41 76X05 35B34 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yang, Ying; Shen, Liejun Research on the lowest energy solution of Chern-Simons-Schrödinger equation with trapping potential. (Chinese. English summary) Zbl 1524.35244 Acta Math. Sci., Ser. A, Chin. Ed. 42, No. 3, 716-729 (2022). MSC: 35J60 × Cite Format Result Cite Review PDF Full Text: Link
Biondini, Gino; Oregero, Jeffrey; Tovbis, Alexander On the spectrum of the periodic focusing Zakharov-Shabat operator. (English) Zbl 1519.34095 J. Spectr. Theory 12, No. 3, 939-992 (2022). MSC: 34L05 34L40 47B28 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tovbis, Alexander; Wang, Fudong Recent developments in spectral theory of the focusing NLS soliton and breather gases: the thermodynamic limit of average densities, fluxes and certain meromorphic differentials; periodic gases. (English) Zbl 1518.35577 J. Phys. A, Math. Theor. 55, No. 42, Article ID 424006, 50 p. (2022). Reviewer: Eugene Postnikov (Kursk) MSC: 35Q55 35C08 37K10 37K15 35P15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ozawa, Tohru; Tomioka, Kenta Vanishing dispersion limit for Schrödinger-improved Boussinesq system in two space dimensions. (English) Zbl 1503.35214 Asymptotic Anal. 130, No. 3-4, 427-437 (2022). MSC: 35Q55 35Q41 35Q35 35D35 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Ferriere, Guillaume WKB analysis of the logarithmic nonlinear Schrödinger equation in an analytic framework. (English) Zbl 1506.35209 Commun. Contemp. Math. 24, No. 8, Article ID 2150082, 34 p. (2022). MSC: 35Q55 35Q41 35B40 35A01 35A02 35A20 35A22 35C20 33B10 76N10 35Q31 81Q20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Audiard, Corentin; Rodrigues, L. Miguel About plane periodic waves of the nonlinear Schrödinger equations. (À propos des ondes planes périodiques des équations de Schrödinger non linéaires.) (English. French summary) Zbl 1501.35362 Bull. Soc. Math. Fr. 150, No. 1, 111-207 (2022). MSC: 35Q55 35Q41 35B10 35B35 35C07 35C08 35B40 35P05 37K45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Mei, Yanhua; An, Rong Error estimates of second-order BDF Galerkin finite element methods for a coupled nonlinear Schrödinger system. (English) Zbl 1524.65578 Comput. Math. Appl. 122, 117-125 (2022). MSC: 65M60 35Q55 65M12 65M06 65M15 65B05 35Q41 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Ha, Seung-Yeal; Hwang, Gyuyoung; Kim, Dohyun Two-point correlation function and its applications to the Schrödinger-Lohe type models. (English) Zbl 1497.35431 Q. Appl. Math. 80, No. 4, 669-699 (2022). MSC: 35Q55 35Q41 35B35 35B40 35A01 65M22 65N06 × Cite Format Result Cite Review PDF Full Text: DOI
Kishimoto, Nobu Remarks on periodic Zakharov systems. (English) Zbl 1493.35110 Electron. J. Differ. Equ. 2022, Paper No. 20, 19 p. (2022). MSC: 35Q55 35A02 × Cite Format Result Cite Review PDF Full Text: Link
Cai, Yongyong; Zhou, Xuanxuan Uniformly accurate nested Picard iterative integrators for the Klein-Gordon equation in the nonrelativistic regime. (English) Zbl 1492.35244 J. Sci. Comput. 92, No. 2, Paper No. 53, 28 p. (2022). MSC: 35Q41 65M70 65N35 × Cite Format Result Cite Review PDF Full Text: DOI
Zheng, Zhenzhen; He, Guoliang; Xu, Tao The homoclinic breather wave solution, rational wave and \(n\)-soliton solution to a nonlinear differential equation. (English) Zbl 07565170 Int. J. Nonlinear Sci. Numer. Simul. 23, No. 3-4, 613-622 (2022). MSC: 35Q53 35Q55 37K10 70K44 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Mingjuan; Guo, Boling; Han, Lijia Uniform local well-posedness and inviscid limit for the Benjamin-Ono-Burgers equation. (English) Zbl 1492.35252 Sci. China, Math. 65, No. 8, 1553-1576 (2022). MSC: 35Q53 35Q55 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Choi, Brian Remark on the adiabatic limit of quantum Zakharov system. (English) Zbl 1504.35416 Bull. Malays. Math. Sci. Soc. (2) 45, No. 4, 1711-1735 (2022). MSC: 35Q40 35Q55 35Q41 81Q80 35B30 35B65 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rosenzweig, Matthew The mean-field limit of the Lieb-Liniger model. (English) Zbl 1490.35445 Discrete Contin. Dyn. Syst. 42, No. 6, 3005-3037 (2022). Reviewer: Johanna Michor (Wien) MSC: 35Q55 35Q40 81T10 81V73 81V70 35B40 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kim, Jeongho; Moon, Bora Hydrodynamic limits of the nonlinear Schrödinger equation with the Chern-Simons gauge fields. (English) Zbl 1489.35254 Discrete Contin. Dyn. Syst. 42, No. 6, 2541-2561 (2022). MSC: 35Q55 35B40 35Q31 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dong, Xiaojing; Tang, Zhongwei Nonrelativistic limit of ground state solutions for nonlinear Dirac-Klein-Gordon systems. (English) Zbl 1491.35356 Minimax Theory Appl. 7, No. 2, 253-276 (2022). MSC: 35Q40 35Q55 49J35 × Cite Format Result Cite Review PDF Full Text: Link
Picari, E.; Ponno, A.; Zanelli, L. Mean field derivation of DNLS from the Bose-Hubbard model. (English) Zbl 1514.35410 Ann. Henri Poincaré 23, No. 5, 1525-1553 (2022). Reviewer: Yiming Su (Hangzhou) MSC: 35Q55 35Q41 81V45 81V73 78A60 82C22 35R06 × Cite Format Result Cite Review PDF Full Text: DOI
Antoine, Xavier; Zhao, Xiaofei Pseudospectral methods with PML for nonlinear Klein-Gordon equations in classical and non-relativistic regimes. (English) Zbl 1537.65145 J. Comput. Phys. 448, Article ID 110728, 24 p. (2022). MSC: 65M70 65M06 65N35 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Calvo, María Cabrera; Schratz, Katharina Uniformly accurate low regularity integrators for the Klein-Gordon equation from the classical to nonrelativistic limit regime. (English) Zbl 1492.35297 SIAM J. Numer. Anal. 60, No. 2, 888-912 (2022). Reviewer: Alessandro Selvitella (Fort Wayne) MSC: 35Q55 35Q41 65M70 65M12 35B05 35B65 35B35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Khan, Niaz Ali; Jan, Munsif; Shah, Muzamil; Khan, Darvaish Quantum speed limit time in a relativistic frame. (English) Zbl 1494.81004 Ann. Phys. 440, Article ID 168831, 11 p. (2022). MSC: 81Q05 81R20 81V17 81V73 37L05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Borrelli, William On the continuum limit for a model of binary waveguide arrays. (English) Zbl 1512.35501 NoDEA, Nonlinear Differ. Equ. Appl. 29, No. 3, Paper No. 28, 24 p. (2022). Reviewer: Abderrazek Benhassine (Monastir) MSC: 35Q41 35Q40 35A01 81Q37 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gui, Guilong; Zhang, Ping Semiclassical limit of Gross-Pitaevskii equation with Dirichlet boundary condition. (English) Zbl 1484.35325 SIAM J. Math. Anal. 54, No. 1, 1053-1104 (2022). Reviewer: Konstantin Merz (Braunschweig) MSC: 35Q40 35Q55 35Q31 76N10 35B40 35B65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ma, Li-Yuan; Zhang, Yan-Li; Zhao, Hai-Qiong; Zhu, Zuo-Nong Spatially discrete Hirota equation: rational and breather solution, gauge equivalence, and continuous limit. (English) Zbl 1509.35283 Commun. Nonlinear Sci. Numer. Simul. 108, Article ID 106239, 15 p. (2022). MSC: 35Q55 35Q40 35Q51 35C08 37K10 37K35 37J70 39A36 82D40 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Zhang; Wang, Bixiang Limit measures of stochastic Schrödinger lattice systems. (English) Zbl 1494.37048 Proc. Am. Math. Soc. 150, No. 4, 1669-1684 (2022). Reviewer: Qiangheng Zhang (Heze) MSC: 37L40 37L55 37L60 × Cite Format Result Cite Review PDF Full Text: DOI
Han, Che; Wang, Yu-Lan; Li, Zhi-Yuan A high-precision numerical approach to solving space fractional Gray-Scott model. (English) Zbl 1524.65653 Appl. Math. Lett. 125, Article ID 107759, 7 p. (2022). MSC: 65M70 35Q55 35R11 35K57 68W30 26A33 35B36 65L06 65N35 65B05 65M12 80A32 35Q79 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Jun; Fang, Miao-Shuang; Luo, Lin; Ma, Li-Yuan From a generalized discrete NLS equation in discrete alpha helical proteins to the fourth-order NLS equation. (English) Zbl 1498.35520 Chaos Solitons Fractals 153, Part 2, Article ID 111600, 8 p. (2021). MSC: 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Shi; Li, Qin; Yang, Xu Classical limit for the varying-mass Schrödinger equation with random inhomogeneities. (English) Zbl 1530.81077 J. Comput. Phys. 438, Article ID 110365, 25 p. (2021). MSC: 81Q20 35Q55 82C70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Schlein, Benjamin Bogoliubov theory for many-body quantum systems. (English) Zbl 1496.35335 Exner, Pavel (ed.) et al., Partial differential equations, spectral theory, and mathematical physics. The Ari Laptev anniversary volume. Berlin: European Mathematical Society (EMS). EMS Ser. Congr. Rep., 367-388 (2021). MSC: 35Q40 35Q55 35P05 47A75 81Q10 81V70 82B10 × Cite Format Result Cite Review PDF Full Text: DOI
Hu, Dongdong; Cai, Wenjun; Wang, Yushun Two linearly implicit energy preserving exponential scalar auxiliary variable approaches for multi-dimensional fractional nonlinear Schrödinger equations. (English) Zbl 1524.65351 Appl. Math. Lett. 122, Article ID 107544, 7 p. (2021). MSC: 65M06 35Q55 65M12 35R11 65P10 65N35 65B05 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Lafleche, Laurent Global semiclassical limit from Hartree to Vlasov equation for concentrated initial data. (English) Zbl 1484.82024 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 38, No. 6, 1739-1762 (2021). MSC: 82C10 35Q41 35Q55 82C05 35Q83 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Ferriere, Guillaume Convergence rate in Wasserstein distance and semiclassical limit for the defocusing logarithmic Schrödinger equation. (English) Zbl 1479.35787 Anal. PDE 14, No. 2, 617-666 (2021). MSC: 35Q55 35Q41 35Q83 35Q84 35Q31 81Q20 35B25 35B35 35B40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Jin, Sangdon; Seok, Jinmyoung Nonrelativistic limit of solitary waves for nonlinear Maxwell-Klein-Gordon equations. (English) Zbl 1471.35084 Calc. Var. Partial Differ. Equ. 60, No. 5, Paper No. 168, 27 p. (2021). MSC: 35C08 35Q55 35Q61 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ding, Yanheng; Dong, Xiaojing; Guo, Qi Nonrelativistic limit and some properties of solutions for nonlinear Dirac equations. (English) Zbl 1477.35191 Calc. Var. Partial Differ. Equ. 60, No. 4, Paper No. 144, 23 p. (2021). MSC: 35Q40 35Q55 49J35 35B50 × Cite Format Result Cite Review PDF Full Text: DOI
Kolokoltsov, V. N. The law of large numbers for quantum stochastic filtering and control of many-particle systems. (English. Russian original) Zbl 1471.81056 Theor. Math. Phys. 208, No. 1, 937-957 (2021); translation from Teor. Mat. Fiz. 208, No. 1, 97-121 (2021). MSC: 81S25 81Q93 81V70 81Q05 35R60 91A15 58J65 60F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Berkolaiko, Gregory; Marzuola, Jeremy L.; Pelinovsky, Dmitry E. Edge-localized states on quantum graphs in the limit of large mass. (English) Zbl 1477.35230 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 38, No. 5, 1295-1335 (2021). MSC: 35Q55 81Q05 35B40 35R02 35R01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kirkpatrick, Kay; Rademacher, Simone; Schlein, Benjamin A large deviation principle in many-body quantum dynamics. (English) Zbl 1480.35356 Ann. Henri Poincaré 22, No. 8, 2595-2618 (2021). Reviewer: Alessandro Selvitella (Fort Wayne) MSC: 35Q55 81V70 81V73 60F10 60F05 82C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sugimoto, Mitsuru; Wang, Baoxiang Scaling limit of modulation spaces and their applications. (English) Zbl 1468.35187 Appl. Comput. Harmon. Anal. 53, 54-94 (2021). MSC: 35Q55 42B35 42B37 46E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Junjie High-order conservative schemes for the space fractional nonlinear Schrödinger equation. (English) Zbl 1475.65084 Appl. Numer. Math. 165, 248-269 (2021). MSC: 65M06 65N06 65B05 65M12 35Q55 35Q41 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Hainzl, Christian Another proof of BEC in the GP-limit. (English) Zbl 1467.82090 J. Math. Phys. 62, No. 5, Article ID 051901, 16 p. (2021). MSC: 82D05 81V73 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hong, Younghun; Kwak, Chulkwang; Nakamura, Shohei; Yang, Changhun Finite difference scheme for two-dimensional periodic nonlinear Schrödinger equations. (English) Zbl 1464.35324 J. Evol. Equ. 21, No. 1, 391-418 (2021). MSC: 35Q55 81T27 65M06 34L40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Chun-Hua; Jin, Jun-Wei; Sun, Hai-Wei; Sheng, Qin A spatially sixth-order hybrid \(L1\)-CCD method for solving time fractional Schrödinger equations. (English) Zbl 1549.65307 Appl. Math., Praha 66, No. 2, 213-232 (2021). Reviewer: Temur A. Jangveladze (Tbilisi) MSC: 65M06 65N06 65B05 65M12 65M15 26A33 35R11 35Q55 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI Link
Borrelli, William; Carlone, Raffaele; Tentarelli, Lorenzo On the nonlinear Dirac equation on noncompact metric graphs. (English) Zbl 1457.35045 J. Differ. Equations 278, 326-357 (2021). MSC: 35Q41 35Q55 35B25 35R02 81Q35 47J07 58E07 47A10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bettelheim, Eldad The Whitham approach to the \(c\rightarrow0\) limit of the Lieb-Liniger model and generalized hydrodynamics. (English) Zbl 1514.82071 J. Phys. A, Math. Theor. 53, No. 20, Article ID 205204, 35 p. (2020). MSC: 82B23 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhu, Qing; Zhou, Zhan; Wang, Lin Existence and stability of discrete solitons in nonlinear Schrödinger lattices with hard potentials. (English) Zbl 1490.35466 Physica D 403, Article ID 132326, 10 p. (2020). MSC: 35Q55 35Q51 39A12 37K40 37K60 × Cite Format Result Cite Review PDF Full Text: DOI
Bramburger, J. J.; Cuevas-Maraver, J.; Kevrekidis, P. G. Vortex pairs in the discrete nonlinear Schrödinger equation. (English) Zbl 1486.34049 Nonlinearity 33, No. 5, 2159-2180 (2020). MSC: 34A33 34C05 34C14 34D20 35Q55 35C07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dymov, A. V.; Kuksin, S. B. On the Zakharov-L’vov stochastic model for wave turbulence. (English. Russian original) Zbl 1479.35783 Dokl. Math. 101, No. 2, 102-109 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 491, 29-37 (2020). MSC: 35Q55 35Q41 35B20 82C40 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Nakamura, Makoto On the nonrelativistic limit of a semilinear field equation in a homogeneous and isotropic space. (English) Zbl 1454.35380 Kyoto J. Math. 60, No. 4, 1333-1359 (2020). MSC: 35Q75 35Q76 35L71 35A01 35B44 35Q55 35K58 83C05 83F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Cai, Yongyong; Wang, Yan (Semi-)nonrelativisitic limit of the nonlinear Dirac equations. (English) Zbl 1463.35421 J. Math. Study 53, No. 2, 125-142 (2020). MSC: 35Q41 35Q55 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Maeda, Masaya; Suzuki, Akito Continuous limits of linear and nonlinear quantum walks. (English) Zbl 1444.81015 Rev. Math. Phys. 32, No. 4, Article ID 2050008, 20 p. (2020). MSC: 81Q05 65M12 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dallos Santos, Dionicio Pastor Multiple solutions for mixed boundary value problems with \(\varphi\)-Laplacian operators. (English) Zbl 1472.34040 Electron. J. Differ. Equ. 2020, Paper No. 67, 8 p. (2020). MSC: 34B15 47H10 47N20 × Cite Format Result Cite Review PDF Full Text: Link
Gialelis, Nikolaos Inviscid limit of linearly damped and forced nonlinear Schrödinger equations. (English) Zbl 1441.35219 Electron. J. Differ. Equ. 2020, Paper No. 66, 18 p. (2020). MSC: 35Q55 35B20 35A01 × Cite Format Result Cite Review PDF Full Text: Link
Huh, Hyungjin; Hussain, Swaleh; Pelinovsky, Dmitry E. Chern-Simons-Schrödinger theory on a one-dimensional lattice. (English) Zbl 1446.35183 Lett. Math. Phys. 110, No. 8, 2221-2244 (2020). MSC: 35Q55 35Q40 70S15 81T13 35A01 35A02 35C08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rademacher, Simone Central limit theorem for Bose gases interacting through singular potentials. (English) Zbl 1446.35152 Lett. Math. Phys. 110, No. 8, 2143-2174 (2020). MSC: 35Q40 35Q55 81Q05 82C10 81V70 60F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mauser, Norbert J.; Zhang, Yong; Zhao, Xiaofei On the rotating nonlinear Klein-Gordon equation: nonrelativistic limit and numerical methods. (English) Zbl 1446.65074 Multiscale Model. Simul. 18, No. 2, 999-1024 (2020). MSC: 65M06 65M70 65Z99 81Q05 85A40 35Q55 35Q40 82D50 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Carles, Rémi; Gallo, Clément WKB analysis of nonelliptic nonlinear Schrödinger equations. (English) Zbl 1447.35292 Commun. Contemp. Math. 22, No. 6, Article ID 1950045, 19 p. (2020). Reviewer: Anthony D. Osborne (Keele) MSC: 35Q55 35B25 35B40 81Q20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Schenker, Jeffrey; Tilocco, F. Zak; Zhang, Shiwen Diffusion in the mean for a periodic Schrödinger equation perturbed by a fluctuating potential. (English) Zbl 1441.82024 Commun. Math. Phys. 377, No. 2, 1597-1635 (2020). MSC: 82C41 82C44 82C70 60K37 35Q55 81S22 60F05 35K05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv