Geiss, Sarah Sharp convex generalizations of stochastic Gronwall inequalities. (English) Zbl 07825937 J. Differ. Equations 392, 74-127 (2024). MSC: 34K50 60H10 60G44 60G51 60J65 PDFBibTeX XMLCite \textit{S. Geiss}, J. Differ. Equations 392, 74--127 (2024; Zbl 07825937) Full Text: DOI arXiv
Sun, Ning; Shi, Shaoyun; Li, Wenlei Renormalization group method for solving initial value problem of slow-fast system. (English) Zbl 1528.34048 Math. Methods Appl. Sci. 46, No. 12, 13074-13089 (2023). MSC: 34E05 34E15 34E10 PDFBibTeX XMLCite \textit{N. Sun} et al., Math. Methods Appl. Sci. 46, No. 12, 13074--13089 (2023; Zbl 1528.34048) Full Text: DOI
Li, Wenlei; Shi, Shaoyun Singularly perturbed renormalization group method and its significance in dynamical systems theory. (English) Zbl 1513.34221 Commun. Math. Res. 38, No. 1, 99-122 (2022). MSC: 34E15 37E20 34C45 34C20 PDFBibTeX XMLCite \textit{W. Li} and \textit{S. Shi}, Commun. Math. Res. 38, No. 1, 99--122 (2022; Zbl 1513.34221) Full Text: DOI
Larios, Adam; Victor, Collin Continuous data assimilation with a moving cluster of data points for a reaction diffusion equation: a computational study. (English) Zbl 1528.65094 Commun. Comput. Phys. 29, No. 4, 1273-1298 (2021). MSC: 65N06 65M06 65F05 35K57 35K40 35K61 37C50 93B52 35Q93 34D06 35R60 PDFBibTeX XMLCite \textit{A. Larios} and \textit{C. Victor}, Commun. Comput. Phys. 29, No. 4, 1273--1298 (2021; Zbl 1528.65094) Full Text: DOI arXiv
Cao, Dat; Hoang, Luan; Kieu, Thinh Infinite series asymptotic expansions for decaying solutions of dissipative differential equations with non-smooth nonlinearity. (English) Zbl 1477.34076 Qual. Theory Dyn. Syst. 20, No. 3, Paper No. 62, 38 p. (2021). MSC: 34D05 34A25 34C05 34A36 PDFBibTeX XMLCite \textit{D. Cao} et al., Qual. Theory Dyn. Syst. 20, No. 3, Paper No. 62, 38 p. (2021; Zbl 1477.34076) Full Text: DOI arXiv
Qu, Shiduo; Li, Wenlei; Shi, Shaoyun Renormalization group approach to SDEs with nonlinear diffusion terms. (English) Zbl 1476.34129 Mediterr. J. Math. 18, No. 5, Paper No. 183, 17 p. (2021). MSC: 34F05 60H10 41A99 PDFBibTeX XMLCite \textit{S. Qu} et al., Mediterr. J. Math. 18, No. 5, Paper No. 183, 17 p. (2021; Zbl 1476.34129) Full Text: DOI
Cao, Dat; Hoang, Luan Asymptotic expansions with exponential, power, and logarithmic functions for non-autonomous nonlinear differential equations. (English) Zbl 1472.34021 J. Evol. Equ. 21, No. 2, 1179-1225 (2021). MSC: 34A25 34D05 37C60 41A60 PDFBibTeX XMLCite \textit{D. Cao} and \textit{L. Hoang}, J. Evol. Equ. 21, No. 2, 1179--1225 (2021; Zbl 1472.34021) Full Text: DOI arXiv
Guo, Lihong; Chen, YangQuan; Shi, Shaoyun; West, Bruce J. Renormalization group and fractional calculus methods in a complex world: a review. (English) Zbl 1488.81034 Fract. Calc. Appl. Anal. 24, No. 1, 5-53 (2021). MSC: 81T17 26A33 82B28 34A08 35R11 60G22 35B25 34K26 34E20 PDFBibTeX XMLCite \textit{L. Guo} et al., Fract. Calc. Appl. Anal. 24, No. 1, 5--53 (2021; Zbl 1488.81034) Full Text: DOI
Liu, Zhihua; Magal, Pierre Bogdanov-Takens bifurcation in a predator-prey model with age structure. (English) Zbl 1465.34063 Z. Angew. Math. Phys. 72, No. 1, Paper No. 4, 24 p. (2021). Reviewer: George Karakostas (Ioannina) MSC: 34C60 92D25 34G20 34C23 34C37 35Q92 PDFBibTeX XMLCite \textit{Z. Liu} and \textit{P. Magal}, Z. Angew. Math. Phys. 72, No. 1, Paper No. 4, 24 p. (2021; Zbl 1465.34063) Full Text: DOI
Zhang, Li; Balasuriya, Sanjeeva Controlling trajectories globally via spatiotemporal finite-time optimal control. (English) Zbl 1458.49003 SIAM J. Appl. Dyn. Syst. 19, No. 3, 1609-1632 (2020). MSC: 49J15 34H10 PDFBibTeX XMLCite \textit{L. Zhang} and \textit{S. Balasuriya}, SIAM J. Appl. Dyn. Syst. 19, No. 3, 1609--1632 (2020; Zbl 1458.49003) Full Text: DOI
Larios, Adam; Pei, Yuan Approximate continuous data assimilation of the 2D Navier-Stokes equations via the Voigt-regularization with observable data. (English) Zbl 1452.35133 Evol. Equ. Control Theory 9, No. 3, 733-751 (2020). MSC: 35Q30 37C50 93C20 76B75 34D06 PDFBibTeX XMLCite \textit{A. Larios} and \textit{Y. Pei}, Evol. Equ. Control Theory 9, No. 3, 733--751 (2020; Zbl 1452.35133) Full Text: DOI arXiv
Sun, Ning; Shi, Shaoyun; Li, Wenlei Singular renormalization group approach to SIS problems. (English) Zbl 1451.34067 Discrete Contin. Dyn. Syst., Ser. B 25, No. 9, 3577-3596 (2020). Reviewer: Xiang Zhang (Shanghai) MSC: 34C60 92D30 34B15 34E15 34E10 PDFBibTeX XMLCite \textit{N. Sun} et al., Discrete Contin. Dyn. Syst., Ser. B 25, No. 9, 3577--3596 (2020; Zbl 1451.34067) Full Text: DOI
Wang, Bixiang; Wang, Renhai Asymptotic behavior of stochastic Schrödinger lattice systems driven by nonlinear noise. (English) Zbl 1437.37102 Stochastic Anal. Appl. 38, No. 2, 213-237 (2020). MSC: 37L55 37L60 37K60 34F05 37L30 60H10 PDFBibTeX XMLCite \textit{B. Wang} and \textit{R. Wang}, Stochastic Anal. Appl. 38, No. 2, 213--237 (2020; Zbl 1437.37102) Full Text: DOI
Zhou, Ran; Shi, Shaoyun; Li, Wenlei Renormalization group approach to boundary layer problems. (English) Zbl 1464.34082 Commun. Nonlinear Sci. Numer. Simul. 71, 220-230 (2019). MSC: 34E15 PDFBibTeX XMLCite \textit{R. Zhou} et al., Commun. Nonlinear Sci. Numer. Simul. 71, 220--230 (2019; Zbl 1464.34082) Full Text: DOI
Dutta, Ayan; Das, Debapriya; Banerjee, Dhruba; Bhattacharjee, Jayanta K. Estimating the boundaries of a limit cycle in a 2D dynamical system using renormalization group. (English) Zbl 1510.34047 Commun. Nonlinear Sci. Numer. Simul. 57, 47-57 (2018). MSC: 34C05 34E10 92C40 PDFBibTeX XMLCite \textit{A. Dutta} et al., Commun. Nonlinear Sci. Numer. Simul. 57, 47--57 (2018; Zbl 1510.34047) Full Text: DOI
Li, Wenlei; Shi, Shaoyun Singular perturbed renormalization group theory and its application to highly oscillatory problems. (English) Zbl 1444.34068 Discrete Contin. Dyn. Syst., Ser. B 23, No. 4, 1819-1833 (2018). MSC: 34E15 34C29 82B28 34C15 PDFBibTeX XMLCite \textit{W. Li} and \textit{S. Shi}, Discrete Contin. Dyn. Syst., Ser. B 23, No. 4, 1819--1833 (2018; Zbl 1444.34068) Full Text: DOI
Marciniak-Czochra, Anna; Mikelić, Andro Shadow limit using renormalization group method and center manifold method. (English) Zbl 1376.37116 Vietnam J. Math. 45, No. 1-2, 103-125 (2017). MSC: 37L10 35B20 34E13 35B25 35B41 35K57 PDFBibTeX XMLCite \textit{A. Marciniak-Czochra} and \textit{A. Mikelić}, Vietnam J. Math. 45, No. 1--2, 103--125 (2017; Zbl 1376.37116) Full Text: DOI HAL
Qin, Yuming; Su, Xing; Wang, Yang; Zhang, Jianlin Global regularity for a two-dimensional nonlinear Boussinesq system. (English) Zbl 1364.35283 Math. Methods Appl. Sci. 40, No. 6, 2042-2056 (2017). MSC: 35Q35 35G10 34A12 76N15 35D35 86A05 86A10 76R50 PDFBibTeX XMLCite \textit{Y. Qin} et al., Math. Methods Appl. Sci. 40, No. 6, 2042--2056 (2017; Zbl 1364.35283) Full Text: DOI
Huo, Wenru; Huang, Aimin The global attractor of the 2D Boussinesq equations with fractional Laplacian in subcritical case. (English) Zbl 1352.35190 Discrete Contin. Dyn. Syst., Ser. B 21, No. 8, 2531-2550 (2016). Reviewer: Anthony D. Osborne (Keele) MSC: 35Q86 35R11 34D45 35B32 86A05 86A10 35D35 26A33 PDFBibTeX XMLCite \textit{W. Huo} and \textit{A. Huang}, Discrete Contin. Dyn. Syst., Ser. B 21, No. 8, 2531--2550 (2016; Zbl 1352.35190) Full Text: DOI arXiv
Su, Xing The global attractor of the 2D Boussinesq system with fractional vertical dissipation. (English) Zbl 1338.35338 Bound. Value Probl. 2016, Paper No. 105, 21 p. (2016). MSC: 35Q30 34D45 35R11 PDFBibTeX XMLCite \textit{X. Su}, Bound. Value Probl. 2016, Paper No. 105, 21 p. (2016; Zbl 1338.35338) Full Text: DOI
O’Malley, Robert E. jun.; Kirkinis, Eleftherios Variation of parameters and the renormalization group method. (English) Zbl 1408.82002 Stud. Appl. Math. 134, No. 2, 215-232 (2015). MSC: 82B28 34E10 PDFBibTeX XMLCite \textit{R. E. O'Malley jun.} and \textit{E. Kirkinis}, Stud. Appl. Math. 134, No. 2, 215--232 (2015; Zbl 1408.82002) Full Text: DOI
Huang, Aimin The 2D Euler-Boussinesq equations in planar polygonal domains with Yudovich’s type data. (English) Zbl 1310.35188 Commun. Math. Stat. 2, No. 3-4, 369-391 (2014). MSC: 35Q30 35Q31 34A12 76N10 PDFBibTeX XMLCite \textit{A. Huang}, Commun. Math. Stat. 2, No. 3--4, 369--391 (2014; Zbl 1310.35188) Full Text: DOI arXiv
Liu, Zhihua; Magal, Pierre; Ruan, Shigui Normal forms for semilinear equations with non-dense domain with applications to age structured models. (English) Zbl 1347.37125 J. Differ. Equations 257, No. 4, 921-1011 (2014). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37L10 37G05 34K18 34C20 PDFBibTeX XMLCite \textit{Z. Liu} et al., J. Differ. Equations 257, No. 4, 921--1011 (2014; Zbl 1347.37125) Full Text: DOI
Robinson, James C. Attractors and finite-dimensional behaviour in the 2D Navier-Stokes equations. (English) Zbl 1286.35198 ISRN Math. Anal. 2013, Article ID 291823, 29 p. (2013). MSC: 35Q30 35B41 34D45 37L30 PDFBibTeX XMLCite \textit{J. C. Robinson}, ISRN Math. Anal. 2013, Article ID 291823, 29 p. (2013; Zbl 1286.35198) Full Text: DOI
Wan, Li; Duan, Jinqiao Exponential stability of the multi-layer quasi-geostrophic ocean model with delays. (English) Zbl 1171.35447 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 3-4, 799-811 (2009). MSC: 35Q30 35Q35 34B40 35B35 35R10 76B15 86A05 PDFBibTeX XMLCite \textit{L. Wan} and \textit{J. Duan}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 3--4, 799--811 (2009; Zbl 1171.35447) Full Text: DOI
Chiba, Hayato Simplified renormalization group method for ordinary differential equations. (English) Zbl 1170.34026 J. Differ. Equations 246, No. 5, 1991-2019 (2009). Reviewer: Vasile Dragan (Bucureşti) MSC: 34C20 34E13 34E15 34C29 34C30 PDFBibTeX XMLCite \textit{H. Chiba}, J. Differ. Equations 246, No. 5, 1991--2019 (2009; Zbl 1170.34026) Full Text: DOI
Sanchez, David Behaviour of the Landau-Lifschitz equation in a ferromagnetic wire. (English) Zbl 1152.35504 Math. Methods Appl. Sci. 32, No. 2, 167-205 (2009). MSC: 35Q60 78M35 34E20 PDFBibTeX XMLCite \textit{D. Sanchez}, Math. Methods Appl. Sci. 32, No. 2, 167--205 (2009; Zbl 1152.35504) Full Text: DOI HAL
Chiba, Hayato Approximation of center manifolds on the renormalization group method. (English) Zbl 1152.81375 J. Math. Phys. 49, No. 10, 102703, 11 p. (2008). MSC: 37C10 34A45 34C14 PDFBibTeX XMLCite \textit{H. Chiba}, J. Math. Phys. 49, No. 10, 102703, 11 p. (2008; Zbl 1152.81375) Full Text: DOI Link
DeVille, R. E. Lee; Harkin, Anthony; Holzer, Matt; Josić, Krešimir; Kaper, Tasso J. Analysis of a renormalization group method and normal form theory for perturbed ordinary differential equations. (English) Zbl 1145.34331 Physica D 237, No. 8, 1029-1052 (2008). MSC: 34C20 34E13 34E15 34E05 PDFBibTeX XMLCite \textit{R. E. L. DeVille} et al., Physica D 237, No. 8, 1029--1052 (2008; Zbl 1145.34331) Full Text: DOI Link
Mudavanhu, Blessing; O’Malley, Robert E.; Williams, David B. Working with multiscale asymptotics. (English) Zbl 1158.70313 J. Eng. Math. 53, No. 3-4, 301-336 (2005). MSC: 70K60 34E15 34C15 PDFBibTeX XMLCite \textit{B. Mudavanhu} et al., J. Eng. Math. 53, No. 3--4, 301--336 (2005; Zbl 1158.70313) Full Text: DOI
Oono, Yoshitsugu Renormalization and asymptotics. (English) Zbl 1219.81197 Int. J. Mod. Phys. B 14, No. 12-13, 1327-1361 (2000). MSC: 81T15 35Q40 34E10 35B40 81T17 PDFBibTeX XMLCite \textit{Y. Oono}, Int. J. Mod. Phys. B 14, No. 12--13, 1327--1361 (2000; Zbl 1219.81197) Full Text: DOI
Ziane, Mohammed On a certain renormalization group method. (English) Zbl 1034.82017 J. Math. Phys. 41, No. 5, 3290-3299 (2000). MSC: 82B28 34E10 PDFBibTeX XMLCite \textit{M. Ziane}, J. Math. Phys. 41, No. 5, 3290--3299 (2000; Zbl 1034.82017) Full Text: DOI