Pei, Long; Xiao, Fengyang; Zhang, Pan On the steadiness of symmetric solutions to two dimensional dispersive models. arXiv:2401.11953 Preprint, arXiv:2401.11953 [math.AP] (2024). BibTeX Cite \textit{L. Pei} et al., ``On the steadiness of symmetric solutions to two dimensional dispersive models'', Preprint, arXiv:2401.11953 [math.AP] (2024) Full Text: arXiv OA License
Pei, Long On the regularity and symmetry of periodic traveling solutions to weakly dispersive equations with cubic nonlinearity. (English) Zbl 07782365 Math. Methods Appl. Sci. 46, No. 6, 6403-6415 (2023). MSC: 35C07 34C23 35B10 35B65 37L50 76M60 PDFBibTeX XMLCite \textit{L. Pei}, Math. Methods Appl. Sci. 46, No. 6, 6403--6415 (2023; Zbl 07782365) Full Text: DOI
Bruell, Gabriele; Pei, Long Existence, regularity and symmetry of periodic traveling waves for Gardner-Ostrovsky type equations. (English) Zbl 1526.35106 Monatsh. Math. 202, No. 4, 685-711 (2023). MSC: 35C07 34C23 35B10 35Q53 37L50 76M60 PDFBibTeX XMLCite \textit{G. Bruell} and \textit{L. Pei}, Monatsh. Math. 202, No. 4, 685--711 (2023; Zbl 1526.35106) Full Text: DOI arXiv
Bruell, Gabriele; Pei, Long Symmetry of periodic traveling waves for nonlocal dispersive equations. (English) Zbl 07674168 SIAM J. Math. Anal. 55, No. 1, 486-507 (2023). MSC: 35B10 35B06 35C07 35R09 45M15 76B15 PDFBibTeX XMLCite \textit{G. Bruell} and \textit{L. Pei}, SIAM J. Math. Anal. 55, No. 1, 486--507 (2023; Zbl 07674168) Full Text: DOI arXiv
Pei, Long Exponential decay and symmetry of solitary waves to Degasperis-Procesi equation. (English) Zbl 1442.35398 J. Differ. Equations 269, No. 10, 7730-7749 (2020). MSC: 35Q53 74J35 35B06 35B40 35C07 35C08 35S30 45K05 37K10 PDFBibTeX XMLCite \textit{L. Pei}, J. Differ. Equations 269, No. 10, 7730--7749 (2020; Zbl 1442.35398) Full Text: DOI arXiv
Miao, Shuang; Pei, Long; Yu, Pin On classical global solutions of nonlinear wave equations with large data. (English) Zbl 1479.35571 Int. Math. Res. Not. 2019, No. 19, 5859-5913 (2019). MSC: 35L71 35B40 35L52 35Q76 PDFBibTeX XMLCite \textit{S. Miao} et al., Int. Math. Res. Not. 2019, No. 19, 5859--5913 (2019; Zbl 1479.35571) Full Text: DOI arXiv
Lenells, Jonatan; Pei, Long Exact solution of a Neumann boundary value problem for the stationary axisymmetric Einstein equations. (English) Zbl 1429.83012 J. Nonlinear Sci. 29, No. 4, 1621-1657 (2019). MSC: 83C15 37K15 35Q15 35Q76 PDFBibTeX XMLCite \textit{J. Lenells} and \textit{L. Pei}, J. Nonlinear Sci. 29, No. 4, 1621--1657 (2019; Zbl 1429.83012) Full Text: DOI arXiv
Pei, Long; Wang, Yuexun A note on well-posedness of bidirectional Whitham equation. (English) Zbl 1426.35080 Appl. Math. Lett. 98, 215-223 (2019). MSC: 35F55 35Q31 PDFBibTeX XMLCite \textit{L. Pei} and \textit{Y. Wang}, Appl. Math. Lett. 98, 215--223 (2019; Zbl 1426.35080) Full Text: DOI Link
Ehrnström, Mats; Pei, Long Classical well-posedness in dispersive equations with nonlinearities of mild regularity, and a composition theorem in Besov spaces. (English) Zbl 06968621 J. Evol. Equ. 18, No. 3, 1147-1171 (2018). MSC: 47J35 35Q53 45J05 76B15 PDFBibTeX XMLCite \textit{M. Ehrnström} and \textit{L. Pei}, J. Evol. Equ. 18, No. 3, 1147--1171 (2018; Zbl 06968621) Full Text: DOI arXiv
Bruell, Gabriele; Ehrnström, Mats; Geyer, Anna; Pei, Long Symmetric solutions of evolutionary partial differential equations. (English) Zbl 1375.35017 Nonlinearity 30, No. 10, 3932-3950 (2017). MSC: 35B06 35Q31 PDFBibTeX XMLCite \textit{G. Bruell} et al., Nonlinearity 30, No. 10, 3932--3950 (2017; Zbl 1375.35017) Full Text: DOI arXiv
Bruell, Gabriele; Ehrnström, Mats; Pei, Long Symmetry and decay of traveling wave solutions to the Whitham equation. (English) Zbl 1358.35151 J. Differ. Equations 262, No. 8, 4232-4254 (2017). MSC: 35Q53 35B06 35B40 35S30 45K05 35C07 35C08 PDFBibTeX XMLCite \textit{G. Bruell} et al., J. Differ. Equations 262, No. 8, 4232--4254 (2017; Zbl 1358.35151) Full Text: DOI arXiv
Ehrnström, Mats; Pei, Long; Wang, Yuexun A conditional well-posedness result for the bidirectional Whitham equation. arXiv:1708.04551 Preprint, arXiv:1708.04551 [math.AP] (2017). BibTeX Cite \textit{M. Ehrnström} et al., ``A conditional well-posedness result for the bidirectional Whitham equation'', Preprint, arXiv:1708.04551 [math.AP] (2017) Full Text: arXiv OA License
Ehrnström, Mats; Escher, Joachim; Pei, Long A note on the local well-posedness for the Whitham equation. (English) Zbl 1326.35312 Escher, Joachim (ed.) et al., Elliptic and parabolic equations. Selected papers based on the presentations at the workshop, Hannover, Germany, September 10–12, 2013. Cham: Springer (ISBN 978-3-319-12546-6/hbk; 978-3-319-12547-3/ebook). Springer Proceedings in Mathematics & Statistics 119, 63-75 (2015). MSC: 35Q53 35Q35 76B15 PDFBibTeX XMLCite \textit{M. Ehrnström} et al., Springer Proc. Math. Stat. 119, 63--75 (2015; Zbl 1326.35312) Full Text: DOI
Chen, S. X.; Pei, L. Existence and uniqueness of generalized monopoles in six-dimensional non-Abelian gauge theory. (English) Zbl 1194.81156 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 6, 1698-1706 (2010). MSC: 81T13 65L10 83E15 PDFBibTeX XMLCite \textit{S. X. Chen} and \textit{L. Pei}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 6, 1698--1706 (2010; Zbl 1194.81156) Full Text: DOI arXiv
Pei, L.; Hyun, S.; Molinari, J. F.; Robbins, Mark O. Finite element modeling of elasto-plastic contact between rough surfaces. (English) Zbl 1162.74416 J. Mech. Phys. Solids 53, No. 11, 2385-2409 (2005). MSC: 74M15 74S05 74C05 PDFBibTeX XMLCite \textit{L. Pei} et al., J. Mech. Phys. Solids 53, No. 11, 2385--2409 (2005; Zbl 1162.74416) Full Text: DOI