Li, Shenghao; Chen, Min; Yang, Xin; Zhang, Bing-Yu Lower regularity solutions of the non-homogeneous boundary-value problem for a higher order Boussinesq equation in a quarter plane. (English) Zbl 1489.35208 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 221, Article ID 112893, 29 p. (2022). MSC: 35Q35 35Q53 76B03 76B15 PDFBibTeX XMLCite \textit{S. Li} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 221, Article ID 112893, 29 p. (2022; Zbl 1489.35208) Full Text: DOI arXiv
Chen, Min; Goubet, Olivier; Li, Shenghao Mathematical analysis of bump to bucket problem. (English) Zbl 1460.35279 Commun. Pure Appl. Anal. 19, No. 12, 5567-5580 (2020). MSC: 35Q35 35Q53 76B15 35R35 PDFBibTeX XMLCite \textit{M. Chen} et al., Commun. Pure Appl. Anal. 19, No. 12, 5567--5580 (2020; Zbl 1460.35279) Full Text: DOI
Li, Shenghao; Chen, Min; Zhang, Bing-yu Low regularity solutions of non-homogeneous boundary value problems of a higher order Boussinesq equation in a quarter plane. (English) Zbl 1462.35300 J. Math. Anal. Appl. 492, No. 1, Article ID 124406, 35 p. (2020). MSC: 35Q35 35Q31 35Q53 76B15 PDFBibTeX XMLCite \textit{S. Li} et al., J. Math. Anal. Appl. 492, No. 1, Article ID 124406, 35 p. (2020; Zbl 1462.35300) Full Text: DOI arXiv
Li, Shenghao; Chen, Min Diamond shaped standing wave patterns of a two-dimensional Boussinesq system. (English) Zbl 1420.35246 Appl. Numer. Math. 141, 91-101 (2019). MSC: 35Q35 76B15 35B32 35B36 PDFBibTeX XMLCite \textit{S. Li} and \textit{M. Chen}, Appl. Numer. Math. 141, 91--101 (2019; Zbl 1420.35246) Full Text: DOI
Li, Shenghao; Chen, Min; Zhang, Bingyu Standing lattice wave patterns of a Boussinesq system. (English) Zbl 1411.76013 J. Math. Fluid Mech. 21, No. 2, Paper No. 28, 21 p. (2019). MSC: 76B15 35Q35 PDFBibTeX XMLCite \textit{S. Li} et al., J. Math. Fluid Mech. 21, No. 2, Paper No. 28, 21 p. (2019; Zbl 1411.76013) Full Text: DOI arXiv
Bona, Jerry L.; Chen, Min Singular solutions of a Boussinesq system for water waves. (English) Zbl 1374.35339 J. Math. Study 49, No. 3, 205-220 (2016). MSC: 35Q53 76B15 PDFBibTeX XMLCite \textit{J. L. Bona} and \textit{M. Chen}, J. Math. Study 49, No. 3, 205--220 (2016; Zbl 1374.35339) Full Text: DOI
Fullmer, William D.; Lopez de Bertodano, Martin A.; Chen, Min; Clausse, Alejandro Analysis of stability, verification and chaos with the Kreiss-Yström equations. (English) Zbl 1338.35361 Appl. Math. Comput. 248, 28-46 (2014). MSC: 35Q35 35B25 35K40 35R25 37N15 76Txx PDFBibTeX XMLCite \textit{W. D. Fullmer} et al., Appl. Math. Comput. 248, 28--46 (2014; Zbl 1338.35361) Full Text: DOI
Chen, Min; Dumont, Serge; Goubet, Olivier Decay of solutions to a viscous asymptotical model for waterwaves: Kakutani-Matsuuchi model. (English) Zbl 1236.35119 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 5, 2883-2896 (2012). MSC: 35Q35 35Q53 76B15 65M70 35B65 PDFBibTeX XMLCite \textit{M. Chen} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 5, 2883--2896 (2012; Zbl 1236.35119) Full Text: DOI
Chen, Min; Dumont, Serge; Dupaigne, Louis; Goubet, Olivier Decay of solutions to a water wave model with a nonlocal viscous dispersive term. (English) Zbl 1198.35190 Discrete Contin. Dyn. Syst. 27, No. 4, 1473-1492 (2010). Reviewer: Nicolae Pop (Baia Mare) MSC: 35Q35 76B15 65M70 74C05 74M15 76M22 PDFBibTeX XMLCite \textit{M. Chen} et al., Discrete Contin. Dyn. Syst. 27, No. 4, 1473--1492 (2010; Zbl 1198.35190) Full Text: DOI
Chen, Min; Nguyen, Nghiem V.; Sun, Shu-Ming Solitary-wave solutions to Boussinesq systems with large surface tension. (English) Zbl 1198.35191 Discrete Contin. Dyn. Syst. 26, No. 4, 1153-1184 (2010). Reviewer: Luisa Consiglieri (Reguengo) MSC: 35Q35 76B25 76B45 35C08 35R35 PDFBibTeX XMLCite \textit{M. Chen} et al., Discrete Contin. Dyn. Syst. 26, No. 4, 1153--1184 (2010; Zbl 1198.35191) Full Text: DOI
Chen, Min; Torres, Monica; Walsh, Timothy Existence of traveling wave solutions of a high-order nonlinear acoustic wave equation. (English) Zbl 1228.76143 Phys. Lett., A 373, No. 11, 1037-1043 (2009). MSC: 76Q05 35G30 35C07 PDFBibTeX XMLCite \textit{M. Chen} et al., Phys. Lett., A 373, No. 11, 1037--1043 (2009; Zbl 1228.76143) Full Text: DOI
Chen, Min; Goubet, Olivier Long-time asymptotic behavior of two-dimensional dissipative Boussinesq systems. (English) Zbl 1165.35436 Discrete Contin. Dyn. Syst., Ser. S 2, No. 1, 37-53 (2009). MSC: 35Q35 35B40 35Q53 76B15 65M70 PDFBibTeX XMLCite \textit{M. Chen} and \textit{O. Goubet}, Discrete Contin. Dyn. Syst., Ser. S 2, No. 1, 37--53 (2009; Zbl 1165.35436) Full Text: DOI
Chen, Min Numerical investigation of a two-dimensional Boussinesq system. (English) Zbl 1155.35409 Discrete Contin. Dyn. Syst. 23, No. 4, 1169-1190 (2009). MSC: 35Q35 35Q53 76B15 65M70 PDFBibTeX XMLCite \textit{M. Chen}, Discrete Contin. Dyn. Syst. 23, No. 4, 1169--1190 (2009; Zbl 1155.35409) Full Text: DOI
Chen, Min; Iooss, Gérard Asymmetric periodic traveling wave patterns of two-dimensional Boussinesq systems. (English) Zbl 1143.76396 Physica D 237, No. 10-12, 1539-1552 (2008). MSC: 76B15 76E17 PDFBibTeX XMLCite \textit{M. Chen} and \textit{G. Iooss}, Physica D 237, No. 10--12, 1539--1552 (2008; Zbl 1143.76396) Full Text: DOI HAL
Chen, Min; Goubet, Olivier Long-time asymptotic behavior of dissipative Boussinesq systems. (English) Zbl 1136.35072 Discrete Contin. Dyn. Syst. 17, No. 3, 509-528 (2007). Reviewer: Temuri A. Jangveladze (Tbilisi) MSC: 35Q35 35Q53 76B15 65M70 PDFBibTeX XMLCite \textit{M. Chen} and \textit{O. Goubet}, Discrete Contin. Dyn. Syst. 17, No. 3, 509--528 (2007; Zbl 1136.35072) Full Text: DOI arXiv
Chen, Hongqiu; Chen, Min; Nguyen, Nghiem V. Cnoidal wave solutions to Boussinesq systems. (English) Zbl 1122.35106 Nonlinearity 20, No. 6, 1443-1461 (2007). MSC: 35Q35 37K20 34L30 35Q51 35S15 76B03 76B15 76B25 PDFBibTeX XMLCite \textit{H. Chen} et al., Nonlinearity 20, No. 6, 1443--1461 (2007; Zbl 1122.35106) Full Text: DOI Link
Alazman, A. A.; Albert, J. P.; Bona, J. L.; Chen, M.; Wu, J. Comparisons between the BBM equation and a Boussinesq system. (English) Zbl 1104.35039 Adv. Differ. Equ. 11, No. 2, 121-166 (2006). MSC: 35Q35 65R20 76B15 76B03 76B07 76B25 31A10 PDFBibTeX XMLCite \textit{A. A. Alazman} et al., Adv. Differ. Equ. 11, No. 2, 121--166 (2006; Zbl 1104.35039)
Chen, Min; Iooss, Gérard Periodic wave patterns of two-dimensional Boussinesq systems. (English) Zbl 1122.76018 Eur. J. Mech., B, Fluids 25, No. 4, 393-405 (2006). MSC: 76B15 35Q35 PDFBibTeX XMLCite \textit{M. Chen} and \textit{G. Iooss}, Eur. J. Mech., B, Fluids 25, No. 4, 393--405 (2006; Zbl 1122.76018) Full Text: DOI
Chen, Min; Iooss, Gérard Standing waves for a two-way model system for water waves. (English) Zbl 1060.76018 Eur. J. Mech., B, Fluids 24, No. 1, 113-124 (2005). MSC: 76B15 PDFBibTeX XMLCite \textit{M. Chen} and \textit{G. Iooss}, Eur. J. Mech., B, Fluids 24, No. 1, 113--124 (2005; Zbl 1060.76018) Full Text: DOI
Bona, J. L.; Chen, M.; Saut, J.-C. Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. II: The nonlinear theory. (English) Zbl 1059.35103 Nonlinearity 17, No. 3, 925-952 (2004). MSC: 35Q35 76B15 35B35 76B03 35B30 PDFBibTeX XMLCite \textit{J. L. Bona} et al., Nonlinearity 17, No. 3, 925--952 (2004; Zbl 1059.35103) Full Text: DOI Link
Chen, M. Equations for bi-directional waves over an uneven bottom. (English) Zbl 1013.76014 Math. Comput. Simul. 62, No. 1-2, 3-9 (2003). MSC: 76B15 PDFBibTeX XMLCite \textit{M. Chen}, Math. Comput. Simul. 62, No. 1--2, 3--9 (2003; Zbl 1013.76014) Full Text: DOI
Bona, J. L.; Chen, M.; Saut, J.-C. Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. I: Derivation and linear theory. (English) Zbl 1022.35044 J. Nonlinear Sci. 12, No. 4, 283-318 (2002). MSC: 35Q35 76B15 35B30 PDFBibTeX XMLCite \textit{J. L. Bona} et al., J. Nonlinear Sci. 12, No. 4, 283--318 (2002; Zbl 1022.35044) Full Text: DOI
Chen, M. Equations for bi-directional waves over an uneven bottom. (English) Zbl 0991.35068 Carrive, M. (ed.) et al., Actes des journées “Jeunes numériciens” en l’honneur du 60ème anniversaire du Professeur Roger Temam, Poitiers, France, Mars 9-10, 2000. Poitou-Charentes: Atlantique. 11-18 (2001). MSC: 35Q35 76B15 PDFBibTeX XMLCite \textit{M. Chen}, in: Actes des journées ``Jeunes numériciens'' en l'honneur du 60ème anniversaire du Professeur Roger Temam, Poitiers, France, Mars 9--10, 2000. Poitou-Charentes: Atlantique. 11--18 (2001; Zbl 0991.35068)
Chen, Min Solitary-wave and multi-pulsed traveling-wave solutions of Boussinesq systems. (English) Zbl 1034.35108 Appl. Anal. 75, No. 1-2, 213-240 (2000). MSC: 35Q35 35B32 35Q51 76B25 PDFBibTeX XMLCite \textit{M. Chen}, Appl. Anal. 75, No. 1--2, 213--240 (2000; Zbl 1034.35108) Full Text: DOI
Chen, Min A plethora of multi-pulsed solutions for a Boussinesq system. (English) Zbl 0960.76016 Bermúdez, Alfredo (ed.) et al., Mathematical and numerical aspects of wave propagation. 5th international conference, Santiago de Compostela, Spain, July 10-14, 2000. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. 274-279 (2000). MSC: 76B25 76B15 35Q51 PDFBibTeX XMLCite \textit{M. Chen}, in: Mathematical and numerical aspects of wave propagation. 5th international conference, Santiago de Compostela, Spain, July 10--14, 2000. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics; Rocquencourt: INRIA, Institut National de Recherche en Informatique et en Automatique. 274--279 (2000; Zbl 0960.76016)
Bona, Jerry L.; Chen, Min A Boussinesq system for two-way propagation of nonlinear dispersive waves. (English) Zbl 0962.76515 Physica D 116, No. 1-2, 191-224 (1998). MSC: 76B15 76B25 35Q51 PDFBibTeX XMLCite \textit{J. L. Bona} and \textit{M. Chen}, Physica D 116, No. 1--2, 191--224 (1998; Zbl 0962.76515) Full Text: DOI
Chen, M. Exact solutions of various Boussinesq systems. (English) Zbl 0942.35140 Appl. Math. Lett. 11, No. 5, 45-49 (1998). MSC: 35Q35 76B15 PDFBibTeX XMLCite \textit{M. Chen}, Appl. Math. Lett. 11, No. 5, 45--49 (1998; Zbl 0942.35140) Full Text: DOI
Chen, Min Exact traveling-wave solutions to bidirectional wave equations. (English) Zbl 1097.35115 Int. J. Theor. Phys. 37, No. 5, 1547-1567 (1998). MSC: 35Q35 76B15 76B25 PDFBibTeX XMLCite \textit{M. Chen}, Int. J. Theor. Phys. 37, No. 5, 1547--1567 (1998; Zbl 1097.35115) Full Text: DOI
Chen, Min Primary results on simulation of a new kind of traveling wave of permanent form. (English) Zbl 0958.76057 DeSanto, John A. (ed.), Mathematical and numerical aspects of wave propagation. Proceedings of the 4th international conference held at Mines in Golden, CO, USA, June 1-5, 1998. Philadelphia, PA: SIAM. Proc. Appl. Math. 209-213 (1998). MSC: 76M20 76B15 76B25 PDFBibTeX XMLCite \textit{M. Chen}, Proc. Appl. Math. 209--213, 209--213 (1998; Zbl 0958.76057)
Chen, Min; Bona, Jerry L. Higher-order Boussinesq systems for two-way propagations of water waves. (English) Zbl 0972.35130 Li, Ta-Tsien (ed.), Proceedings of the conference on nonlinear evolution equations and infinite-dimensional dynamical systems, Shanghai, China, June 12-16, 1995. Singapore: World Scientific. 5-12 (1997). MSC: 35Q53 35Q35 76B15 PDFBibTeX XMLCite \textit{M. Chen} and \textit{J. L. Bona}, in: Proceedings of the conference on nonlinear evolution equations and infinite-dimensional dynamical systems, Shanghai, China, June 12--16, 1995. Singapore: World Scientific. 5--12 (1997; Zbl 0972.35130)