Yu, Xueying; Yue, Haitian; Zhao, Zehua Global well-posedness and scattering for fourth-order Schrödinger equations on waveguide manifolds. (English) Zbl 07809895 SIAM J. Math. Anal. 56, No. 1, 1427-1458 (2024). MSC: 35Q55 35Q41 35C08 35R01 37K06 37L50 35P25 35B40 35A01 35A02 PDFBibTeX XMLCite \textit{X. Yu} et al., SIAM J. Math. Anal. 56, No. 1, 1427--1458 (2024; Zbl 07809895) Full Text: DOI arXiv
Champagnat, Nicolas; Hass, Vincent Existence, uniqueness and ergodicity for the centered Fleming-Viot process. (English) Zbl 07796467 Stochastic Processes Appl. 166, Article ID 104219, 63 p. (2023). MSC: 37A50 37A25 37A30 60G44 60J60 60J68 60B10 60G09 60J76 60J90 92D10 PDFBibTeX XMLCite \textit{N. Champagnat} and \textit{V. Hass}, Stochastic Processes Appl. 166, Article ID 104219, 63 p. (2023; Zbl 07796467) Full Text: DOI arXiv
Dolgopyat, Dmitry; Karagulyan, Davit Dynamical random walk on the integers with a drift. (English) Zbl 07788717 Ann. Inst. Henri Poincaré, Probab. Stat. 59, No. 3, 1642-1676 (2023). MSC: 37A50 37A60 37A25 37C30 60F05 60J15 PDFBibTeX XMLCite \textit{D. Dolgopyat} and \textit{D. Karagulyan}, Ann. Inst. Henri Poincaré, Probab. Stat. 59, No. 3, 1642--1676 (2023; Zbl 07788717) Full Text: DOI arXiv
Iyer, Gautam; Zhou, Hongyi Quantifying the dissipation enhancement of cellular flows. (English) Zbl 1528.35122 SIAM J. Math. Anal. 55, No. 6, 6496-6516 (2023). MSC: 35Q35 35B40 76M45 76R05 37A25 35R60 PDFBibTeX XMLCite \textit{G. Iyer} and \textit{H. Zhou}, SIAM J. Math. Anal. 55, No. 6, 6496--6516 (2023; Zbl 1528.35122) Full Text: DOI arXiv
Bosboom, V.; Kraus, M.; Schlottbom, M. A metriplectic formulation of polarized radiative transfer. (English) Zbl 07733833 J. Phys. A, Math. Theor. 56, No. 34, Article ID 345206, 17 p. (2023). MSC: 81V80 37C30 03C40 80A10 78A45 PDFBibTeX XMLCite \textit{V. Bosboom} et al., J. Phys. A, Math. Theor. 56, No. 34, Article ID 345206, 17 p. (2023; Zbl 07733833) Full Text: DOI arXiv
Gomez, Chistophe; Iyer, Gautam; Le, Hai; Novikov, Alexei An oscillator driven by algebraically decorrelating noise. (English) Zbl 1525.60072 Commun. Math. Phys. 402, No. 1, 231-284 (2023). MSC: 60H10 60J60 60F05 37H15 PDFBibTeX XMLCite \textit{C. Gomez} et al., Commun. Math. Phys. 402, No. 1, 231--284 (2023; Zbl 1525.60072) Full Text: DOI arXiv
Yu, Xueying; Yue, Haitian; Zhao, Zehua On the decay property of the cubic fourth-order Schrödinger equation. (English) Zbl 1512.35559 Proc. Am. Math. Soc. 151, No. 6, 2619-2630 (2023). MSC: 35Q55 35Q41 35R01 37K06 37L50 35B65 PDFBibTeX XMLCite \textit{X. Yu} et al., Proc. Am. Math. Soc. 151, No. 6, 2619--2630 (2023; Zbl 1512.35559) Full Text: DOI arXiv
Rupp, Florian Construction of mean-square Lyapunov-basins for random ordinary differential equations. (English) Zbl 1521.34068 J. Comput. Dyn. 10, No. 1, 210-222 (2023). Reviewer: Melvin D. Lax (Long Beach) MSC: 34F05 34D20 37M99 60H10 PDFBibTeX XMLCite \textit{F. Rupp}, J. Comput. Dyn. 10, No. 1, 210--222 (2023; Zbl 1521.34068) Full Text: DOI
Luo, Tingjian; Zheng, Shijun; Zhu, Shihui The existence and stability of normalized solutions for a bi-harmonic nonlinear Schrödinger equation with mixed dispersion. (English) Zbl 1524.35200 Acta Math. Sci., Ser. B, Engl. Ed. 43, No. 2, 539-563 (2023). MSC: 35J20 35J35 35J60 37K45 PDFBibTeX XMLCite \textit{T. Luo} et al., Acta Math. Sci., Ser. B, Engl. Ed. 43, No. 2, 539--563 (2023; Zbl 1524.35200) Full Text: DOI arXiv
Carrillo, José A.; Gvalani, Rishabh S.; Wu, Jeremy S.-H. An invariance principle for gradient flows in the space of probability measures. (English) Zbl 1511.35030 J. Differ. Equations 345, 233-284 (2023). Reviewer: Debabrata Karmakar (Bangalore) MSC: 35B40 35K90 37L15 49Q22 35Q70 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., J. Differ. Equations 345, 233--284 (2023; Zbl 1511.35030) Full Text: DOI arXiv
Cozma, Andrei S.; Reisinger, Christoph Simulation of conditional expectations under fast mean-reverting stochastic volatility models. (English) Zbl 07805188 Keller, Alexander (ed.), Monte Carlo and quasi-Monte Carlo methods. Revised papers of the 14th international conference in Monte Carlo and quasi-Monte Carlo methods in scientific computing, MCQMC 2020, Oxford, United Kingdom, August 10–14, 2020. Cham: Springer. Springer Proc. Math. Stat. 387, 223-240 (2022). MSC: 65C05 37A50 PDFBibTeX XMLCite \textit{A. S. Cozma} and \textit{C. Reisinger}, Springer Proc. Math. Stat. 387, 223--240 (2022; Zbl 07805188) Full Text: DOI arXiv
Frauendiener, Jörg; Klein, Christian; Muhammad, Umar; Stoilov, Nikola Numerical study of Davey-Stewartson I systems. (English) Zbl 07779107 Stud. Appl. Math. 149, No. 1, 76-94 (2022). MSC: 65M70 65L06 35B44 37K10 35C08 35C06 35Q55 35Q41 PDFBibTeX XMLCite \textit{J. Frauendiener} et al., Stud. Appl. Math. 149, No. 1, 76--94 (2022; Zbl 07779107) Full Text: DOI arXiv OA License
Levine, Matthew E.; Stuart, Andrew M. A framework for machine learning of model error in dynamical systems. (English) Zbl 07750994 Commun. Am. Math. Soc. 2, 283-344 (2022). MSC: 65L05 68T30 37A30 37M10 37M25 41A30 PDFBibTeX XMLCite \textit{M. E. Levine} and \textit{A. M. Stuart}, Commun. Am. Math. Soc. 2, 283--344 (2022; Zbl 07750994) Full Text: DOI arXiv
Wang, Zhongjian; Xin, Jack; Zhang, Zhiwen Computing effective diffusivities in 3D time-dependent chaotic flows with a convergent Lagrangian numerical method. (English) Zbl 07598348 ESAIM, Math. Model. Numer. Anal. 56, No. 5, 1521-1544 (2022). MSC: 65-XX 35B27 37A30 60H35 65M12 65M75 PDFBibTeX XMLCite \textit{Z. Wang} et al., ESAIM, Math. Model. Numer. Anal. 56, No. 5, 1521--1544 (2022; Zbl 07598348) Full Text: DOI
Briane, Marc; Hervé, Loïc Asymptotics of ODE’s flow on the torus through a singleton condition and a perturbation result. Applications. (English) Zbl 1498.37027 Discrete Contin. Dyn. Syst. 42, No. 7, 3431-3463 (2022). MSC: 37C10 37C75 37C40 35Q49 PDFBibTeX XMLCite \textit{M. Briane} and \textit{L. Hervé}, Discrete Contin. Dyn. Syst. 42, No. 7, 3431--3463 (2022; Zbl 1498.37027) Full Text: DOI arXiv
Budd, Chris; Griffith, Cody; Kuske, Rachel Dynamic tipping in the non-smooth Stommel-box model, with fast oscillatory forcing. (English) Zbl 1482.86023 Physica D 432, Article ID 132948, 16 p. (2022). MSC: 86A08 86A10 37N10 60H15 PDFBibTeX XMLCite \textit{C. Budd} et al., Physica D 432, Article ID 132948, 16 p. (2022; Zbl 1482.86023) Full Text: DOI
Bedrossian, Jacob; Blumenthal, Alex; Punshon-Smith, Sam A regularity method for lower bounds on the Lyapunov exponent for stochastic differential equations. (English) Zbl 1490.37073 Invent. Math. 227, No. 2, 429-516 (2022). MSC: 37H15 35H10 37D25 58J65 35B65 60H15 94A17 PDFBibTeX XMLCite \textit{J. Bedrossian} et al., Invent. Math. 227, No. 2, 429--516 (2022; Zbl 1490.37073) Full Text: DOI arXiv
Alouini, Brahim Asymptotic behaviour of the solutions for a weakly damped anisotropic sixth-order Schrödinger type equation in \(\mathbb{R}^2\). (English) Zbl 1483.35192 Discrete Contin. Dyn. Syst., Ser. B 27, No. 1, 45-72 (2022). MSC: 35Q55 35Q41 35B40 35B65 37L30 28A80 PDFBibTeX XMLCite \textit{B. Alouini}, Discrete Contin. Dyn. Syst., Ser. B 27, No. 1, 45--72 (2022; Zbl 1483.35192) Full Text: DOI
Djoufack, Z. I.; Kenmogne, Fabien; Nguenang, J. P.; Kenfack-Jiotsa, A. Dynamics of solitons with periodic loops intrinsic localized modes and modulational instability in a quantum 2D nonlinear square Klein-Gordon chain. (English) Zbl 1496.35148 Chaos Solitons Fractals 142, Article ID 110403, 13 p. (2021). MSC: 35C08 35Q55 37K60 PDFBibTeX XMLCite \textit{Z. I. Djoufack} et al., Chaos Solitons Fractals 142, Article ID 110403, 13 p. (2021; Zbl 1496.35148) Full Text: DOI
Wang, Zhongjian; Xin, Jack; Zhang, Zhiwen Sharp error estimates on a stochastic structure-preserving scheme in computing effective diffusivity of 3D chaotic flows. (English) Zbl 1496.65192 Multiscale Model. Simul. 19, No. 3, 1167-1189 (2021). MSC: 65M75 35B27 37M25 60H35 65P10 65M15 76R50 35Q31 PDFBibTeX XMLCite \textit{Z. Wang} et al., Multiscale Model. Simul. 19, No. 3, 1167--1189 (2021; Zbl 1496.65192) Full Text: DOI arXiv
Dolgopyat, Dmitry; Lenci, Marco; Nándori, Péter Global observables for RW: law of large numbers. (English. French summary) Zbl 1472.60079 Ann. Inst. Henri Poincaré, Probab. Stat. 57, No. 1, 94-115 (2021). MSC: 60G50 37A40 60K37 60F15 PDFBibTeX XMLCite \textit{D. Dolgopyat} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 57, No. 1, 94--115 (2021; Zbl 1472.60079) Full Text: DOI arXiv
Engel, Maximilian; Gkogkas, Marios Antonios; Kuehn, Christian Homogenization of coupled fast-slow systems via intermediate stochastic regularization. (English) Zbl 1470.60150 J. Stat. Phys. 183, No. 2, Paper No. 25, 34 p. (2021). MSC: 60H10 37D20 34E13 37A50 60F17 PDFBibTeX XMLCite \textit{M. Engel} et al., J. Stat. Phys. 183, No. 2, Paper No. 25, 34 p. (2021; Zbl 1470.60150) Full Text: DOI arXiv
Li, Ji; Rosier, Carole Parameters identification in a saltwater intrusion problem. (English) Zbl 1513.49013 Acta Math. Sci., Ser. B, Engl. Ed. 40, No. 5, 1563-1584 (2020). MSC: 49J20 37N10 35K51 35K55 PDFBibTeX XMLCite \textit{J. Li} and \textit{C. Rosier}, Acta Math. Sci., Ser. B, Engl. Ed. 40, No. 5, 1563--1584 (2020; Zbl 1513.49013) Full Text: DOI
Wattis, Jonathan A. D.; Alzaidi, Ahmed S. M. Asymptotic analysis of breather modes in a two-dimensional mechanical lattice. (English) Zbl 1453.37072 Physica D 401, Article ID 132207, 14 p. (2020). MSC: 37K60 37K40 PDFBibTeX XMLCite \textit{J. A. D. Wattis} and \textit{A. S. M. Alzaidi}, Physica D 401, Article ID 132207, 14 p. (2020; Zbl 1453.37072) Full Text: DOI Link
Lyu, Junlong; Wang, Zhongjian; Xin, Jack; Zhang, Zhiwen Convergence analysis of stochastic structure-preserving schemes for computing effective diffusivity in random flows. (English) Zbl 1509.37120 SIAM J. Numer. Anal. 58, No. 5, 3040-3067 (2020). MSC: 37M25 60J60 60H35 65P10 65M75 76M50 PDFBibTeX XMLCite \textit{J. Lyu} et al., SIAM J. Numer. Anal. 58, No. 5, 3040--3067 (2020; Zbl 1509.37120) Full Text: DOI arXiv
Jiang, Shixiao W.; Harlim, John Modeling of missing dynamical systems: deriving parametric models using a nonparametric framework. (English) Zbl 1447.37067 Res. Math. Sci. 7, No. 3, Paper No. 16, 25 p. (2020). MSC: 37M10 37M25 41A10 41A45 60J22 PDFBibTeX XMLCite \textit{S. W. Jiang} and \textit{J. Harlim}, Res. Math. Sci. 7, No. 3, Paper No. 16, 25 p. (2020; Zbl 1447.37067) Full Text: DOI arXiv
Cano, B.; Durán, A. On nonparaxial nonlinear Schrödinger-type equations. (English) Zbl 1436.65146 J. Comput. Appl. Math. 373, Article ID 112163, 16 p. (2020). MSC: 65M70 37K06 65P10 78A60 35Q55 35A01 35A02 PDFBibTeX XMLCite \textit{B. Cano} and \textit{A. Durán}, J. Comput. Appl. Math. 373, Article ID 112163, 16 p. (2020; Zbl 1436.65146) Full Text: DOI arXiv
Kashchenko, Sergeĭ Aleksandrovich Homogenization over the spatial variable in nonlinear parabolic systems. (English. Russian original) Zbl 1436.35226 Trans. Mosc. Math. Soc. 2019, 53-71 (2019); translation from Tr. Mosk. Mat. O.-va 80, No. 1, 63-86 (2019). MSC: 35K40 37G15 35B27 34C15 PDFBibTeX XMLCite \textit{S. A. Kashchenko}, Trans. Mosc. Math. Soc. 2019, 53--71 (2019; Zbl 1436.35226); translation from Tr. Mosk. Mat. O.-va 80, No. 1, 63--86 (2019) Full Text: DOI
Wouters, Jeroen; Gottwald, Georg A. Stochastic model reduction for slow-fast systems with moderate time scale separation. (English) Zbl 1434.70056 Multiscale Model. Simul. 17, No. 4, 1172-1188 (2019). MSC: 70K70 65C20 37A50 60F05 PDFBibTeX XMLCite \textit{J. Wouters} and \textit{G. A. Gottwald}, Multiscale Model. Simul. 17, No. 4, 1172--1188 (2019; Zbl 1434.70056) Full Text: DOI arXiv
Djoufack, Z. I.; Fotsa-Ngaffo, F.; Tala-Tebue, E.; Fendzi-Donfack, E.; Kapche-Tagne, F. Modulational instability in addition to discrete breathers in 2D quantum ultracold atoms loaded in optical lattices. (English) Zbl 1430.37094 Nonlinear Dyn. 98, No. 3, 1905-1918 (2019). MSC: 37L15 78A60 81Q35 PDFBibTeX XMLCite \textit{Z. I. Djoufack} et al., Nonlinear Dyn. 98, No. 3, 1905--1918 (2019; Zbl 1430.37094) Full Text: DOI
Wang, Rui; Kalnay, Eugenia; Balachandran, Balakumar Neural machine-based forecasting of chaotic dynamics. (English) Zbl 1430.37043 Nonlinear Dyn. 98, No. 4, 2903-2917 (2019). MSC: 37D45 68T07 37M05 PDFBibTeX XMLCite \textit{R. Wang} et al., Nonlinear Dyn. 98, No. 4, 2903--2917 (2019; Zbl 1430.37043) Full Text: DOI
Zhang, Liying; Chen, Chuchu; Hong, Jialin; Ji, Lihai A review on stochastic multi-symplectic methods for stochastic Maxwell equations. (English) Zbl 1449.60111 Commun. Appl. Math. Comput. 1, No. 3, 467-501 (2019). MSC: 60H15 37M15 PDFBibTeX XMLCite \textit{L. Zhang} et al., Commun. Appl. Math. Comput. 1, No. 3, 467--501 (2019; Zbl 1449.60111) Full Text: DOI
Griffin, Jory; Marklof, Jens Quantum transport in a low-density periodic potential: homogenisation via homogeneous flows. (English) Zbl 1433.82011 Pure Appl. Anal. 1, No. 4, 571-614 (2019). MSC: 82C40 35Q20 37A17 37A44 47N50 82C10 35B40 35Q55 35Q40 81Q05 PDFBibTeX XMLCite \textit{J. Griffin} and \textit{J. Marklof}, Pure Appl. Anal. 1, No. 4, 571--614 (2019; Zbl 1433.82011) Full Text: DOI arXiv
Borcea, Liliana; Meng, Shixu Factorization method versus migration imaging in a waveguide. (English) Zbl 1458.35472 Inverse Probl. 35, No. 12, Article ID 124006, 33 p. (2019). Reviewer: Andreas Kleefeld (Jülich) MSC: 35R30 35P25 37K15 65R32 78A50 PDFBibTeX XMLCite \textit{L. Borcea} and \textit{S. Meng}, Inverse Probl. 35, No. 12, Article ID 124006, 33 p. (2019; Zbl 1458.35472) Full Text: DOI arXiv
Bonnetier, Éric; Dapogny, Charles; Triki, Faouzi Homogenization of the eigenvalues of the Neumann-Poincaré operator. (English) Zbl 1437.35031 Arch. Ration. Mech. Anal. 234, No. 2, 777-855 (2019). Reviewer: Marcus Waurick (Glasgow) MSC: 35B27 37J25 35P25 PDFBibTeX XMLCite \textit{É. Bonnetier} et al., Arch. Ration. Mech. Anal. 234, No. 2, 777--855 (2019; Zbl 1437.35031) Full Text: DOI arXiv
Feng, Yuanyuan; Iyer, Gautam Dissipation enhancement by mixing. (English) Zbl 1411.76037 Nonlinearity 32, No. 5, 1810-1851 (2019). MSC: 76F25 37A25 76R50 PDFBibTeX XMLCite \textit{Y. Feng} and \textit{G. Iyer}, Nonlinearity 32, No. 5, 1810--1851 (2019; Zbl 1411.76037) Full Text: DOI arXiv
Alouini, Brahim Finite dimensional global attractor for a dissipative anisotropic fourth order Schrödinger equation. (English) Zbl 1411.35042 J. Differ. Equations 266, No. 9, 6037-6067 (2019). MSC: 35B41 35B40 35Q55 76B03 37L30 PDFBibTeX XMLCite \textit{B. Alouini}, J. Differ. Equations 266, No. 9, 6037--6067 (2019; Zbl 1411.35042) Full Text: DOI
Tzella, Alexandra; Vanneste, Jacques Chemical front propagation in periodic flows: FKPP versus G. (English) Zbl 1412.80008 SIAM J. Appl. Math. 79, No. 1, 131-152 (2019). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 80A32 80A25 35F21 37M05 PDFBibTeX XMLCite \textit{A. Tzella} and \textit{J. Vanneste}, SIAM J. Appl. Math. 79, No. 1, 131--152 (2019; Zbl 1412.80008) Full Text: DOI arXiv
Radko, Timour Thermohaline layering on the microscale. (English) Zbl 1415.76590 J. Fluid Mech. 862, 672-695 (2019). MSC: 76R10 76E06 37N10 PDFBibTeX XMLCite \textit{T. Radko}, J. Fluid Mech. 862, 672--695 (2019; Zbl 1415.76590) Full Text: DOI
Ghilli, Daria Viscosity methods for large deviations estimates of multiscale stochastic processes. (English) Zbl 1403.35334 ESAIM, Control Optim. Calc. Var. 24, No. 2, 605-637 (2018). Reviewer: Andrzej Świerniak (Gliwice) MSC: 35R60 60H30 35B25 49L20 60F10 91B26 60H15 49L25 37A25 PDFBibTeX XMLCite \textit{D. Ghilli}, ESAIM, Control Optim. Calc. Var. 24, No. 2, 605--637 (2018; Zbl 1403.35334) Full Text: DOI arXiv Link
Oh, Tadahiro; Wang, Yuzhao Global well-posedness of the periodic cubic fourth order NLS in negative Sobolev spaces. (English) Zbl 1431.35178 Forum Math. Sigma 6, Paper No. e5, 80 p. (2018). Reviewer: Vincent Lescarret (Gif-sur-Yvette) MSC: 35Q55 35A01 35A02 37G05 35R25 PDFBibTeX XMLCite \textit{T. Oh} and \textit{Y. Wang}, Forum Math. Sigma 6, Paper No. e5, 80 p. (2018; Zbl 1431.35178) Full Text: DOI arXiv
Jian, Hui; Liu, Bin A random Schrödinger equation with time-oscillating nonlinearity and linear dissipation/gain. (English) Zbl 1383.35212 Bull. Malays. Math. Sci. Soc. (2) 41, No. 1, 265-286 (2018). MSC: 35Q55 35R60 37K40 78A60 PDFBibTeX XMLCite \textit{H. Jian} and \textit{B. Liu}, Bull. Malays. Math. Sci. Soc. (2) 41, No. 1, 265--286 (2018; Zbl 1383.35212) Full Text: DOI
Chekroun, Mickaël D.; Liu, Honghu; McWilliams, James C. The emergence of fast oscillations in a reduced primitive equation model and its implications for closure theories. (English) Zbl 1390.34184 Comput. Fluids 151, 3-22 (2017). MSC: 34F05 35R60 37L05 37L55 37L65 60H15 PDFBibTeX XMLCite \textit{M. D. Chekroun} et al., Comput. Fluids 151, 3--22 (2017; Zbl 1390.34184) Full Text: DOI
Melicher, Valdemar; Haber, Tom; Vanroose, Wim Fast derivatives of likelihood functionals for ODE based models using adjoint-state method. (English) Zbl 1417.65049 Comput. Stat. 32, No. 4, 1621-1643 (2017). MSC: 62-08 62M10 37N25 PDFBibTeX XMLCite \textit{V. Melicher} et al., Comput. Stat. 32, No. 4, 1621--1643 (2017; Zbl 1417.65049) Full Text: DOI arXiv Link
Kelly, David; Melbourne, Ian Deterministic homogenization for fast-slow systems with chaotic noise. (English) Zbl 1373.60101 J. Funct. Anal. 272, No. 10, 4063-4102 (2017). MSC: 60H10 60H30 34F05 37H10 37C40 PDFBibTeX XMLCite \textit{D. Kelly} and \textit{I. Melbourne}, J. Funct. Anal. 272, No. 10, 4063--4102 (2017; Zbl 1373.60101) Full Text: DOI arXiv
Bailleul, I.; Catellier, R. Rough flows and homogenization in stochastic turbulence. (English) Zbl 1372.60078 J. Differ. Equations 263, No. 8, 4894-4928 (2017). Reviewer: Denis R. Bell (Jacksonville) MSC: 60H10 60F05 34F05 37H10 PDFBibTeX XMLCite \textit{I. Bailleul} and \textit{R. Catellier}, J. Differ. Equations 263, No. 8, 4894--4928 (2017; Zbl 1372.60078) Full Text: DOI arXiv
Cerrai, Sandra; Lunardi, Alessandra Averaging principle for nonautonomous slow-fast systems of stochastic reaction-diffusion equations: the almost periodic case. (English) Zbl 1370.60102 SIAM J. Math. Anal. 49, No. 4, 2843-2884 (2017). MSC: 60H15 35R60 34K33 35K57 37A25 37L40 PDFBibTeX XMLCite \textit{S. Cerrai} and \textit{A. Lunardi}, SIAM J. Math. Anal. 49, No. 4, 2843--2884 (2017; Zbl 1370.60102) Full Text: DOI arXiv
Borcea, Liliana; Kocyigit, Ilker Imaging in random media with convex optimization. (English) Zbl 1372.35316 SIAM J. Imaging Sci. 10, No. 1, 147-190 (2017). Reviewer: Marin I. Marin (Braşov) MSC: 35Q93 58J90 45Q05 37N40 PDFBibTeX XMLCite \textit{L. Borcea} and \textit{I. Kocyigit}, SIAM J. Imaging Sci. 10, No. 1, 147--190 (2017; Zbl 1372.35316) Full Text: DOI arXiv
Cher, Yuri; Simpson, Gideon; Sulem, Catherine Local structure of singular profiles for a derivative nonlinear Schrödinger equation. (English) Zbl 1434.35177 SIAM J. Appl. Dyn. Syst. 16, No. 1, 514-545 (2017). MSC: 35Q55 35B44 37K40 65M60 76W05 PDFBibTeX XMLCite \textit{Y. Cher} et al., SIAM J. Appl. Dyn. Syst. 16, No. 1, 514--545 (2017; Zbl 1434.35177) Full Text: DOI arXiv
Holding, Thomas; Hutridurga, Harsha; Rauch, Jeffrey Convergence along mean flows. (English) Zbl 1366.35094 SIAM J. Math. Anal. 49, No. 1, 222-271 (2017). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35K59 35B27 46J10 37C10 PDFBibTeX XMLCite \textit{T. Holding} et al., SIAM J. Math. Anal. 49, No. 1, 222--271 (2017; Zbl 1366.35094) Full Text: DOI arXiv
Saanouni, Tarek Decay of solutions to a fourth-order nonlinear Schrödinger equation. (English) Zbl 1359.35180 Analysis, München 37, No. 1, 47-54 (2017). MSC: 35Q55 35B40 35B33 37K05 37L50 35P25 35L76 PDFBibTeX XMLCite \textit{T. Saanouni}, Analysis, München 37, No. 1, 47--54 (2017; Zbl 1359.35180) Full Text: DOI
Namachchivaya, Navaratnam Sri Random dynamical systems: addressing uncertainty, nonlinearity and predictability. (English) Zbl 1374.37071 Meccanica 51, No. 12, 2975-2995 (2016). MSC: 37H10 37N35 93E11 PDFBibTeX XMLCite \textit{N. S. Namachchivaya}, Meccanica 51, No. 12, 2975--2995 (2016; Zbl 1374.37071) Full Text: DOI
Marklof, Jens; Tóth, Bálint Superdiffusion in the periodic Lorentz gas. (English) Zbl 1368.37018 Commun. Math. Phys. 347, No. 3, 933-981 (2016). MSC: 37A60 82C40 82D05 60F05 60F17 60J65 PDFBibTeX XMLCite \textit{J. Marklof} and \textit{B. Tóth}, Commun. Math. Phys. 347, No. 3, 933--981 (2016; Zbl 1368.37018) Full Text: DOI arXiv
McMillen, Tyler; Xin, Jack; Yu, Yifeng; Zlatoš, Andrej Ballistic orbits and front speed enhancement for ABC flows. (English) Zbl 1418.34080 SIAM J. Appl. Dyn. Syst. 15, No. 3, 1753-1782 (2016). MSC: 34C11 34E10 37J35 37J40 70H08 PDFBibTeX XMLCite \textit{T. McMillen} et al., SIAM J. Appl. Dyn. Syst. 15, No. 3, 1753--1782 (2016; Zbl 1418.34080) Full Text: DOI arXiv
Laurière, Mathieu; Pironneau, Olivier Dynamic programming for mean-field type control. (English) Zbl 1342.35420 J. Optim. Theory Appl. 169, No. 3, 902-924 (2016). MSC: 35Q93 37N35 49J20 PDFBibTeX XMLCite \textit{M. Laurière} and \textit{O. Pironneau}, J. Optim. Theory Appl. 169, No. 3, 902--924 (2016; Zbl 1342.35420) Full Text: DOI HAL
Li, Xue-Mei Random perturbation to the geodesic equation. (English) Zbl 1372.60083 Ann. Probab. 44, No. 1, 544-566 (2016). Reviewer: Oliver Janke (Berlin) MSC: 60H10 34F05 58J65 37H10 53B05 PDFBibTeX XMLCite \textit{X.-M. Li}, Ann. Probab. 44, No. 1, 544--566 (2016; Zbl 1372.60083) Full Text: DOI arXiv Euclid
Kelly, David; Melbourne, Ian Smooth approximation of stochastic differential equations. (English) Zbl 1372.60082 Ann. Probab. 44, No. 1, 479-520 (2016). Reviewer: Oliver Janke (Berlin) MSC: 60H10 60H05 60F17 60F05 37D20 37D25 37A50 PDFBibTeX XMLCite \textit{D. Kelly} and \textit{I. Melbourne}, Ann. Probab. 44, No. 1, 479--520 (2016; Zbl 1372.60082) Full Text: DOI arXiv Euclid
Varadhan, Srinivasa R. S. Entropy and its many avatars. (English) Zbl 1357.94050 J. Math. Soc. Japan 67, No. 4, 1845-1857 (2015). MSC: 94A17 37A35 74A15 60F10 PDFBibTeX XMLCite \textit{S. R. S. Varadhan}, J. Math. Soc. Japan 67, No. 4, 1845--1857 (2015; Zbl 1357.94050) Full Text: DOI Euclid
Beck, Mélanie; Gander, Martin J.; Kwok, Felix B-methods for the numerical solution of evolution problems with blow-up solutions. I: Variation of the constant. (English) Zbl 1329.65303 SIAM J. Sci. Comput. 37, No. 6, A2998-A3029 (2015). MSC: 65P10 37K05 35K59 35L72 PDFBibTeX XMLCite \textit{M. Beck} et al., SIAM J. Sci. Comput. 37, No. 6, A2998--A3029 (2015; Zbl 1329.65303) Full Text: DOI
Marica, Aurora; Zuazua, Enrique Propagation of 1D waves in regular discrete heterogeneous media: a Wigner measure approach. (English) Zbl 1375.81163 Found. Comput. Math. 15, No. 6, 1571-1636 (2015). Reviewer: Charis Harley (Johannesburg) MSC: 81S30 35A21 37C05 65M06 70K05 81T80 PDFBibTeX XMLCite \textit{A. Marica} and \textit{E. Zuazua}, Found. Comput. Math. 15, No. 6, 1571--1636 (2015; Zbl 1375.81163) Full Text: DOI Link
Benjamini, Itai; Duminil-Copin, Hugo; Kozma, Gady; Yadin, Ariel Disorder, entropy and harmonic functions. (English) Zbl 1337.60248 Ann. Probab. 43, No. 5, 2332-2373 (2015). Reviewer: Weiping Li (Stillwater) MSC: 60K37 60K35 31A05 60G50 60J60 60J10 60B15 82B43 37A35 20P05 PDFBibTeX XMLCite \textit{I. Benjamini} et al., Ann. Probab. 43, No. 5, 2332--2373 (2015; Zbl 1337.60248) Full Text: DOI arXiv Euclid
Collet, Francesca; Dai Pra, Paolo; Formentin, Marco Collective periodicity in mean-field models of cooperative behavior. (English) Zbl 1325.60154 NoDEA, Nonlinear Differ. Equ. Appl. 22, No. 5, 1461-1482 (2015). MSC: 60K35 60J60 60J45 37G15 37H20 PDFBibTeX XMLCite \textit{F. Collet} et al., NoDEA, Nonlinear Differ. Equ. Appl. 22, No. 5, 1461--1482 (2015; Zbl 1325.60154) Full Text: DOI arXiv
Natali, Fábio; Pastor, Ademir The fourth-order dispersive nonlinear Schrödinger equation: orbital stability of a standing wave. (English) Zbl 1331.35325 SIAM J. Appl. Dyn. Syst. 14, No. 3, 1326-1347 (2015). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q55 35B35 37K45 76B25 PDFBibTeX XMLCite \textit{F. Natali} and \textit{A. Pastor}, SIAM J. Appl. Dyn. Syst. 14, No. 3, 1326--1347 (2015; Zbl 1331.35325) Full Text: DOI arXiv
Alexanderian, Alen Expository paper: A primer on homogenization of elliptic PDEs with stationary and ergodic random coefficient functions. (English) Zbl 1354.37085 Rocky Mt. J. Math. 45, No. 3, 703-735 (2015). MSC: 37N15 37A05 37A25 78A48 78M40 74Q99 35B27 35J25 PDFBibTeX XMLCite \textit{A. Alexanderian}, Rocky Mt. J. Math. 45, No. 3, 703--735 (2015; Zbl 1354.37085) Full Text: DOI arXiv Euclid
Bernardin, Cédric Diffusion of energy in chains of oscillators with conservative noise. (English) Zbl 1318.35123 Gonçalves, Patrícia (ed.) et al., From particle systems to partial differential equations II. Proceedings of the conference “Particle systems and partial differential equations, PS-PDEs II”, Braga, Portugal, December 12–13, 2013. Cham: Springer (ISBN 978-3-319-16636-0/hbk; 978-3-319-16637-7/ebook). Springer Proceedings in Mathematics & Statistics 129, 3-66 (2015). MSC: 35Q82 82C05 82C40 37A60 PDFBibTeX XMLCite \textit{C. Bernardin}, Springer Proc. Math. Stat. 129, 3--66 (2015; Zbl 1318.35123) Full Text: DOI arXiv HAL
Hottovy, Scott; Stechmann, Samuel N. Threshold models for rainfall and convection: deterministic versus stochastic triggers. (English) Zbl 1312.86005 SIAM J. Appl. Math. 75, No. 2, 861-884 (2015). MSC: 86A10 60J70 37N10 76R10 PDFBibTeX XMLCite \textit{S. Hottovy} and \textit{S. N. Stechmann}, SIAM J. Appl. Math. 75, No. 2, 861--884 (2015; Zbl 1312.86005) Full Text: DOI
Li, Xuan; Liu, Xianbin The moment Lyapunov exponent for a three-dimensional stochastic system. (English) Zbl 1354.37035 Chaos Solitons Fractals 68, 40-47 (2014). MSC: 37C75 37H10 60J25 PDFBibTeX XMLCite \textit{X. Li} and \textit{X. Liu}, Chaos Solitons Fractals 68, 40--47 (2014; Zbl 1354.37035) Full Text: DOI
Klar, Axel; Schneider, Florian; Tse, Oliver Approximate models for stochastic dynamic systems with velocities on the sphere and associated Fokker-Planck equations. (English) Zbl 1306.82012 Kinet. Relat. Models 7, No. 3, 509-529 (2014). MSC: 82C31 35Q84 37H10 60H30 70H05 PDFBibTeX XMLCite \textit{A. Klar} et al., Kinet. Relat. Models 7, No. 3, 509--529 (2014; Zbl 1306.82012) Full Text: DOI
Breteaux, Sébastien A geometric derivation of the linear Boltzmann equation for a particle interacting with a Gaussian random field, using a Fock space approach. (Une dérivation géométrique de l’équation de Boltzmann linéaire pour une particule en interaction avec un champ aléatoire gaussien, utilisant l’espace de Fock.) (English. French summary) Zbl 1315.82015 Ann. Inst. Fourier 64, No. 3, 1031-1076 (2014). Reviewer: Piotr Garbaczewski (Opole) MSC: 82C10 60K37 82D30 82B44 82C40 81R30 81S30 37L55 35Q20 47B80 PDFBibTeX XMLCite \textit{S. Breteaux}, Ann. Inst. Fourier 64, No. 3, 1031--1076 (2014; Zbl 1315.82015) Full Text: DOI arXiv Numdam
Boden, Adam; Matthies, Karsten Existence and homogenisation of travelling waves bifurcating from resonances of reaction-diffusion equations in periodic media. (English) Zbl 1327.35014 J. Dyn. Differ. Equations 26, No. 3, 405-459 (2014). Reviewer: Adrian Muntean (Karlstadt) MSC: 35B27 35B32 35K57 37L10 PDFBibTeX XMLCite \textit{A. Boden} and \textit{K. Matthies}, J. Dyn. Differ. Equations 26, No. 3, 405--459 (2014; Zbl 1327.35014) Full Text: DOI
Livi, Roberto Dynamics, stability, and statistics on lattices and networks. (English) Zbl 1302.37013 J. Math. Phys. 55, No. 7, 075205, 75 p. (2014). Reviewer: Eugene Postnikov (Kursk) MSC: 37B25 37D45 37H15 37-01 82C31 PDFBibTeX XMLCite \textit{R. Livi}, J. Math. Phys. 55, No. 7, 075205, 75 p. (2014; Zbl 1302.37013) Full Text: DOI
Hauray, Maxime; Mischler, Stéphane On Kac’s chaos and related problems. (English) Zbl 1396.60102 J. Funct. Anal. 266, No. 10, 6055-6157 (2014). MSC: 60K35 37B40 60A10 60B10 60G09 82C40 94A17 PDFBibTeX XMLCite \textit{M. Hauray} and \textit{S. Mischler}, J. Funct. Anal. 266, No. 10, 6055--6157 (2014; Zbl 1396.60102) Full Text: DOI arXiv
Fedrizzi, Ennio Stability of solitons under rapidly oscillating random perturbations of the initial conditions. (English) Zbl 1315.35053 Ann. Appl. Probab. 24, No. 2, 616-651 (2014). Reviewer: Vakhtang V. Kvaratskhelia (Tbilisi) MSC: 35C08 35Q53 35Q55 37K10 60B12 35B35 35R60 PDFBibTeX XMLCite \textit{E. Fedrizzi}, Ann. Appl. Probab. 24, No. 2, 616--651 (2014; Zbl 1315.35053) Full Text: DOI arXiv Euclid
Gloria, Antoine; Mourrat, Jean-Christophe Quantitative version of the Kipnis-Varadhan theorem and Monte Carlo approximation of homogenized coefficients. (English) Zbl 1276.35026 Ann. Appl. Probab. 23, No. 4, 1544-1583 (2013). Reviewer: Alain Brillard (Riedisheim) MSC: 35B27 37A30 60K37 60H30 65C05 60H35 60G50 65C50 PDFBibTeX XMLCite \textit{A. Gloria} and \textit{J.-C. Mourrat}, Ann. Appl. Probab. 23, No. 4, 1544--1583 (2013; Zbl 1276.35026) Full Text: DOI arXiv Euclid
Muñoz Grajales, Juan Carlos Decay of solutions of a Boussinesq-type system with variable coefficients. (English) Zbl 1366.37141 Waves Random Complex Media 22, No. 4, 589-612 (2012). MSC: 37L65 37K10 35Q35 35B40 PDFBibTeX XMLCite \textit{J. C. Muñoz Grajales}, Waves Random Complex Media 22, No. 4, 589--612 (2012; Zbl 1366.37141) Full Text: DOI
Ge, Hao; Qian, Hong Landscapes of non-gradient dynamics without detailed balance: Stable limit cycles and multiple attractors. (English) Zbl 1331.37021 Chaos 22, No. 2, 023140, 8 p. (2012). MSC: 37B25 34C05 34D45 37H10 37N25 37N20 34E20 60J75 82C99 PDFBibTeX XMLCite \textit{H. Ge} and \textit{H. Qian}, Chaos 22, No. 2, 023140, 8 p. (2012; Zbl 1331.37021) Full Text: DOI arXiv
Hu, F.; Zhu, W. Q.; Chen, L. C. Stochastic Hopf bifurcation of quasi-integrable Hamiltonian systems with fractional derivative damping. (English) Zbl 1258.34013 Int. J. Bifurcation Chaos Appl. Sci. Eng. 22, No. 4, Paper No. 1250083, 13 p. (2012). MSC: 34A08 34F10 37J20 34C29 PDFBibTeX XMLCite \textit{F. Hu} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 22, No. 4, Paper No. 1250083, 13 p. (2012; Zbl 1258.34013) Full Text: DOI
Sakhnovich, Alexander Sine-Gordon theory in a semi-strip. (English) Zbl 1231.35046 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 2, 964-974 (2012). MSC: 35G31 37K15 34A55 34B20 34L40 PDFBibTeX XMLCite \textit{A. Sakhnovich}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 2, 964--974 (2012; Zbl 1231.35046) Full Text: DOI arXiv
Ezzoug, Emna; Kechiche, Wided; Zahrouni, Ezzeddine Finite dimensional global attractor for a semi-discrete nonlinear Schrödinger equation with a point defect. (English) Zbl 1229.65169 Appl. Math. Comput. 217, No. 19, 7818-7830 (2011). Reviewer: Snezhana Gocheva-Ilieva (Plovdiv) MSC: 65M20 65M06 35Q55 37D45 37K10 PDFBibTeX XMLCite \textit{E. Ezzoug} et al., Appl. Math. Comput. 217, No. 19, 7818--7830 (2011; Zbl 1229.65169) Full Text: DOI
Antonelli, Paolo; Sparber, Christof Existence of solitary waves in dipolar quantum gases. (English) Zbl 1213.37102 Physica D 240, No. 4-5, 426-431 (2011). Reviewer: Chuangan Hu (Cupertino) MSC: 37K40 82B10 82D10 35Q55 PDFBibTeX XMLCite \textit{P. Antonelli} and \textit{C. Sparber}, Physica D 240, No. 4--5, 426--431 (2011; Zbl 1213.37102) Full Text: DOI arXiv
Marty, Renaud; Sølna, Knut A general framework for waves in random media with long-range correlations. (English) Zbl 1223.34085 Ann. Appl. Probab. 21, No. 1, 115-139 (2011). Reviewer: Dora Selesi (Novi Sad) MSC: 34F05 34E10 35R60 37H10 60H20 PDFBibTeX XMLCite \textit{R. Marty} and \textit{K. Sølna}, Ann. Appl. Probab. 21, No. 1, 115--139 (2011; Zbl 1223.34085) Full Text: DOI arXiv
Marzuola, Jeremy L.; Raynor, Sarah; Simpson, Gideon A system of ODEs for a perturbation of a minimal mass soliton. (English) Zbl 1205.35295 J. Nonlinear Sci. 20, No. 4, 425-461 (2010). MSC: 35Q55 35C08 35B35 35A24 37K40 PDFBibTeX XMLCite \textit{J. L. Marzuola} et al., J. Nonlinear Sci. 20, No. 4, 425--461 (2010; Zbl 1205.35295) Full Text: DOI arXiv
Sapsis, Themistoklis P.; Lermusiaux, Pierre F. J. Dynamically orthogonal field equations for continuous stochastic dynamical systems. (English) Zbl 1180.37119 Physica D 238, No. 23-24, 2347-2360 (2009). MSC: 37L55 37N10 35Q60 76D05 65C05 PDFBibTeX XMLCite \textit{T. P. Sapsis} and \textit{P. F. J. Lermusiaux}, Physica D 238, No. 23--24, 2347--2360 (2009; Zbl 1180.37119) Full Text: DOI
Cerrai, Sandra A Khasminskii type averaging principle for stochastic reaction-diffusion equations. (English) Zbl 1191.60076 Ann. Appl. Probab. 19, No. 3, 899-948 (2009). MSC: 60H15 37L40 35R60 PDFBibTeX XMLCite \textit{S. Cerrai}, Ann. Appl. Probab. 19, No. 3, 899--948 (2009; Zbl 1191.60076) Full Text: DOI arXiv
Cerrai, Sandra; Freidlin, Mark Averaging principle for a class of stochastic reaction-diffusion equations. (English) Zbl 1176.60049 Probab. Theory Relat. Fields 144, No. 1-2, 137-177 (2009). Reviewer: Franco Fagnola (Milano) MSC: 60H15 60F99 70K65 70K70 35K57 35R60 37H10 PDFBibTeX XMLCite \textit{S. Cerrai} and \textit{M. Freidlin}, Probab. Theory Relat. Fields 144, No. 1--2, 137--177 (2009; Zbl 1176.60049) Full Text: DOI arXiv
Franke, Brice Homogenization of random transport along periodic two-dimensional flows. (English) Zbl 1169.60003 Stochastic Processes Appl. 119, No. 2, 327-346 (2009). Reviewer: Anne Broise-Alamichel (Orsay) MSC: 60F05 37H10 60F17 PDFBibTeX XMLCite \textit{B. Franke}, Stochastic Processes Appl. 119, No. 2, 327--346 (2009; Zbl 1169.60003) Full Text: DOI
Belmonte-Beitia, Juan On the existence of bright solitons in cubic-quintic nonlinear Schrödinger equation with inhomogeneous nonlinearity. (English) Zbl 1153.81484 Math. Probl. Eng. 2008, Article ID 935390, 14 p. (2008). MSC: 81Q05 35Q55 82B27 37G40 35B32 PDFBibTeX XMLCite \textit{J. Belmonte-Beitia}, Math. Probl. Eng. 2008, Article ID 935390, 14 p. (2008; Zbl 1153.81484) Full Text: DOI EuDML
Cerbelli, S.; Giona, M. Characterization of nonuniform chaos in area-preserving nonlinear maps through a continuous archetype. (English) Zbl 1142.37008 Chaos Solitons Fractals 35, No. 1, 13-37 (2008). MSC: 37A25 37E30 37B40 37D25 37C40 37D45 37J10 81Q50 PDFBibTeX XMLCite \textit{S. Cerbelli} and \textit{M. Giona}, Chaos Solitons Fractals 35, No. 1, 13--37 (2008; Zbl 1142.37008) Full Text: DOI
Lv, Yan; Wang, Wei Limiting dynamics for stochastic wave equations. (English) Zbl 1127.37042 J. Differ. Equations 244, No. 1, 1-23 (2008). MSC: 37H10 35R60 60H15 35L05 35K05 PDFBibTeX XMLCite \textit{Y. Lv} and \textit{W. Wang}, J. Differ. Equations 244, No. 1, 1--23 (2008; Zbl 1127.37042) Full Text: DOI
Lin, Chang; Hong, Xue-Ren; Dou, Fu-Quan Analytical studies of the steady solution for optical soliton equation with higher-order dispersion and nonlinear effects. (English) Zbl 1131.35388 Commun. Nonlinear Sci. Numer. Simul. 13, No. 3, 567-574 (2008). MSC: 35Q55 78A60 37K45 PDFBibTeX XMLCite \textit{C. Lin} et al., Commun. Nonlinear Sci. Numer. Simul. 13, No. 3, 567--574 (2008; Zbl 1131.35388) Full Text: DOI
Castella, F.; Degond, P.; Goudon, Th. Large time dynamics of a classical system subject to a fast varying force. (English) Zbl 1127.37052 Commun. Math. Phys. 276, No. 1, 23-49 (2007). MSC: 37L99 35B40 35F20 82C05 37N20 81V99 PDFBibTeX XMLCite \textit{F. Castella} et al., Commun. Math. Phys. 276, No. 1, 23--49 (2007; Zbl 1127.37052) Full Text: DOI
Wright, O. C. III Homoclinic connections of unstable plane waves of the long-wave-short-wave equations. (English) Zbl 1145.37306 Stud. Appl. Math. 117, No. 1, 71-93 (2006). MSC: 37C29 35A30 35Q55 37K35 37L10 PDFBibTeX XMLCite \textit{O. C. Wright III}, Stud. Appl. Math. 117, No. 1, 71--93 (2006; Zbl 1145.37306) Full Text: DOI
Feng, Jianfeng; Jirsa, Viktor K.; Ding, Mingzhou Synchronization in networks with random interactions: Theory and applications. (English) Zbl 1144.37346 Chaos 16, No. 1, 015109, 21 p. (2006). MSC: 37D45 PDFBibTeX XMLCite \textit{J. Feng} et al., Chaos 16, No. 1, 015109, 21 p. (2006; Zbl 1144.37346) Full Text: DOI
Jin, Shi; Liao, Xiaomei A Hamiltonian-preserving scheme for high frequency elastic waves in heterogeneous media. (English) Zbl 1113.35010 J. Hyperbolic Differ. Equ. 3, No. 4, 741-777 (2006). Reviewer: Thomas Sonar (Braunschweig) MSC: 35A35 35L45 65M06 74J30 37K05 37M15 74H15 PDFBibTeX XMLCite \textit{S. Jin} and \textit{X. Liao}, J. Hyperbolic Differ. Equ. 3, No. 4, 741--777 (2006; Zbl 1113.35010) Full Text: DOI
Komorowski, Tomasz; Ryzhik, Lenya Diffusion in a weakly random Hamiltonian flow. (English) Zbl 1170.37327 Commun. Math. Phys. 263, No. 2, 277-323 (2006). MSC: 37J35 60J60 60J65 82C05 82C44 PDFBibTeX XMLCite \textit{T. Komorowski} and \textit{L. Ryzhik}, Commun. Math. Phys. 263, No. 2, 277--323 (2006; Zbl 1170.37327) Full Text: DOI arXiv
Ying, Lexing; Candès, Emmanuel J. The phase flow method. (English) Zbl 1110.65119 J. Comput. Phys. 220, No. 1, 184-215 (2006). Reviewer: Christian Pötzsche (München) MSC: 65P10 65L05 37C10 37M15 PDFBibTeX XMLCite \textit{L. Ying} and \textit{E. J. Candès}, J. Comput. Phys. 220, No. 1, 184--215 (2006; Zbl 1110.65119) Full Text: DOI
Fibich, Gadi; Merle, Frank; Raphaël, Pierre Proof of a spectral property related to the singularity formation for the \(L^{2}\) critical nonlinear Schrödinger equation. (English) Zbl 1100.35097 Physica D 220, No. 1, 1-13 (2006). MSC: 35Q55 35A20 35B40 37K40 PDFBibTeX XMLCite \textit{G. Fibich} et al., Physica D 220, No. 1, 1--13 (2006; Zbl 1100.35097) Full Text: DOI
Nakoulima, Ousseynou; Zahibo, Narcisse; Pelinovsky, Efim; Talipova, Tatiana; Kurkin, Andrey Solitary wave dynamics in shallow water over periodic topography. (English) Zbl 1144.37391 Chaos 15, No. 3, 037107, 8 p. (2005). MSC: 37D45 PDFBibTeX XMLCite \textit{O. Nakoulima} et al., Chaos 15, No. 3, 037107, 8 p. (2005; Zbl 1144.37391) Full Text: DOI
Montesinos, Gaspar D.; Rodas-Verde, María I.; Pérez-García, Víctor M.; Michinel, Humberto \(n\)-body dynamics of stabilized vector solitons. (English) Zbl 1144.37387 Chaos 15, No. 3, 033501, 10 p. (2005). MSC: 37D45 PDFBibTeX XMLCite \textit{G. D. Montesinos} et al., Chaos 15, No. 3, 033501, 10 p. (2005; Zbl 1144.37387) Full Text: DOI arXiv
Godin, Yuri A.; Molchanov, Stanislav Random string: an explicitly solvable model. (English) Zbl 1113.37039 Random Oper. Stoch. Equ. 13, No. 3, 207-220 (2005). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 37H15 60J99 35K05 35L05 PDFBibTeX XMLCite \textit{Y. A. Godin} and \textit{S. Molchanov}, Random Oper. Stoch. Equ. 13, No. 3, 207--220 (2005; Zbl 1113.37039) Full Text: DOI