Xu, Jin; Wang, Nan; Chen, Min; Zhou, Zongyan; Wang, Pengfei Evaluation of reduction behavior of blast furnace dust particles during in-flight process with experiment aided mathematical modeling. (English) Zbl 07187244 Appl. Math. Modelling 75, 535-552 (2019). MSC: 82 76 PDF BibTeX XML Cite \textit{J. Xu} et al., Appl. Math. Modelling 75, 535--552 (2019; Zbl 07187244) Full Text: DOI
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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{S. Li} et al., J. Math. Fluid Mech. 21, No. 2, Paper No. 28, 21 p. (2019; Zbl 1411.76013) Full Text: DOI
Xiao, D.; Yang, P.; Fang, F.; Xiang, J.; Pain, C. C.; Navon, I. M.; Chen, M. A non-intrusive reduced-order model for compressible fluid and fractured solid coupling and its application to blasting. (English) Zbl 1378.74067 J. Comput. Phys. 330, 221-244 (2017). MSC: 74S05 76M10 74R99 PDF BibTeX XML Cite \textit{D. Xiao} et al., J. Comput. Phys. 330, 221--244 (2017; Zbl 1378.74067) Full Text: DOI
Chen, M.; Goubet, O.; Mammeri, Y. Generalized regularized long wave equation with white noise dispersion. (English) Zbl 06820059 Stoch. Partial Differ. Equ., Anal. Comput. 5, No. 3, 319-342 (2017). MSC: 35 76 65 PDF BibTeX XML Cite \textit{M. Chen} et al., Stoch. Partial Differ. Equ., Anal. Comput. 5, No. 3, 319--342 (2017; Zbl 06820059) Full Text: DOI
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 PDF BibTeX XML Cite \textit{J. L. Bona} and \textit{M. Chen}, J. Math. Study 49, No. 3, 205--220 (2016; Zbl 1374.35339) Full Text: DOI
Wang, Bo; Chen, Min An improved pressure regularity criterion of magnetohydrodynamic equations in critical Besov spaces. (English) Zbl 1314.35110 Bound. Value Probl. 2015, Paper No. 66, 10 p. (2015). MSC: 35Q35 76D05 76W05 35B65 35D30 42B25 PDF BibTeX XML Cite \textit{B. Wang} and \textit{M. Chen}, Bound. Value Probl. 2015, Paper No. 66, 10 p. (2015; Zbl 1314.35110) 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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{M. Chen} and \textit{G. Iooss}, Physica D 237, No. 10--12, 1539--1552 (2008; Zbl 1143.76396) Full Text: DOI
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 PDF BibTeX XML Cite \textit{M. Chen} and \textit{O. Goubet}, Discrete Contin. Dyn. Syst. 17, No. 3, 509--528 (2007; Zbl 1136.35072) Full Text: DOI
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 PDF BibTeX XML Cite \textit{H. Chen} et al., Nonlinearity 20, No. 6, 1443--1461 (2007; Zbl 1122.35106) Full Text: DOI
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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{J. L. Bona} et al., Nonlinearity 17, No. 3, 925--952 (2004; Zbl 1059.35103) Full Text: DOI
Chen, M. On the generalized problem of the Boltzmann equation and the moment method in kinetic theory of gases. (English) Zbl 1063.82031 J. Math. Phys. 44, No. 11, 5204-5211 (2003). MSC: 82C40 76P05 PDF BibTeX XML Cite \textit{M. Chen}, J. Math. Phys. 44, No. 11, 5204--5211 (2003; Zbl 1063.82031) Full Text: DOI
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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{J. L. Bona} et al., J. Nonlinear Sci. 12, No. 4, 283--318 (2002; Zbl 1022.35044) Full Text: DOI
Herrmann, M.; Chen, M.; Binninger, B.; Peters, N.; Favier, V.; Réveillon, J.; Vervisch, L. Modeling partially premixed turbulent combustion. (English) Zbl 1026.76540 Hirschel, Ernst Heinrich (ed.), Numerical flow simulation II. CNRS-DFG collaborative research programme. Results 1998-2000. Berlin: Springer. Notes Numer. Fluid Mech. 75, 161-180 (2001). MSC: 76F65 76V05 76F25 80A25 PDF BibTeX XML Cite \textit{M. Herrmann} et al., in: Numerical flow simulation II. CNRS-DFG collaborative research programme. Results 1998-2000. Berlin: Springer. 161--180 (2001; Zbl 1026.76540)
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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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)
Chen, Min The velicity formulation of the Euler equation and the symplectic integration. (Chinese. English summary) Zbl 1073.76610 Math. Numer. Sin. 21, No. 2, 171-180 (1999). MSC: 76M23 76B99 65P10 PDF BibTeX XML Cite \textit{M. Chen}, Math. Numer. Sin. 21, No. 2, 171--180 (1999; Zbl 1073.76610)
Chen, M.; Kontomaris, K.; Mclaughlin, J. B. Direct numerical simulation of droplet collisions in a turbulent channel flow. II: Collision rates. (English) Zbl 1121.76435 Int. J. Multiphase Flow 24, No. 7, 1105-1138 (1998). MSC: 76Txx PDF BibTeX XML Cite \textit{M. Chen} et al., Int. J. Multiphase Flow 24, No. 7, 1105--1138 (1998; Zbl 1121.76435) Full Text: DOI
Chen, M.; Kontomaris, K.; Mclaughlin, J. B. Direct numerical simulation of droplet collisions in a turbulent channel flow. I: Collision algorithm. (English) Zbl 1121.76434 Int. J. Multiphase Flow 24, No. 7, 1079-1103 (1998). MSC: 76Txx PDF BibTeX XML Cite \textit{M. Chen} et al., Int. J. Multiphase Flow 24, No. 7, 1079--1103 (1998; Zbl 1121.76434) Full Text: DOI
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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{M. Chen}, in: 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. 209--213 (1998; Zbl 0958.76057)
Thakurta, D. G.; Chen, M.; McLaughlin, J. B.; Kontomaris, K. Thermophoretic deposition of small particles in a direct numerical simulation of turbulent channel flow. (English) Zbl 0918.76088 Int. J. Heat Mass Transfer 41, No. 24, 4167-4182 (1998). MSC: 76T99 76F10 80A20 PDF BibTeX XML Cite \textit{D. G. Thakurta} et al., Int. J. Heat Mass Transfer 41, No. 24, 4167--4182 (1998; Zbl 0918.76088) Full Text: DOI
Wang, Q.; Squires, K. D.; Chen, M.; McLaughlin, J. B. On the role of the lift force in turbulence simulations of particle deposition. (English) Zbl 1135.76578 Int. J. Multiphase Flow 23, No. 4, 749-763 (1997). MSC: 76Txx PDF BibTeX XML Cite \textit{Q. Wang} et al., Int. J. Multiphase Flow 23, No. 4, 749--763 (1997; Zbl 1135.76578) Full Text: DOI
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 PDF BibTeX XML Cite \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)
Chen, M. On the moment methods and irreversible thermodynamics. (English) Zbl 0901.76071 J. Math. Phys. 38, No. 7, 3589-3602 (1997). Reviewer: Vinicio C.Boffi (Roma) MSC: 76P05 82C35 PDF BibTeX XML Cite \textit{M. Chen}, J. Math. Phys. 38, No. 7, 3589--3602 (1997; Zbl 0901.76071) Full Text: DOI
Chen, M.; Rahman, M. Water wave diffraction analysis by boundary elements. (English) Zbl 0798.76045 Appl. Math. Modelling 18, No. 3, 114-123 (1994). MSC: 76M15 76B15 PDF BibTeX XML Cite \textit{M. Chen} and \textit{M. Rahman}, Appl. Math. Modelling 18, No. 3, 114--123 (1994; Zbl 0798.76045) Full Text: DOI
Chen, M. Dynamical stability and thermodynamic stability in irreversible thermodynamics. (English) Zbl 0850.76235 J. Math. Phys. 32, No. 3, 744-748 (1991). MSC: 76E99 82B35 PDF BibTeX XML Cite \textit{M. Chen}, J. Math. Phys. 32, No. 3, 744--748 (1991; Zbl 0850.76235) Full Text: DOI
Chen, M. On the thermodynamic solution of the Boltzmann equation and nonlinear irreversible thermodynamics. (English) Zbl 0676.76068 J. Math. Phys. 30, No. 6, 1329-1337 (1989). MSC: 76P05 82B40 PDF BibTeX XML Cite \textit{M. Chen}, J. Math. Phys. 30, No. 6, 1329--1337 (1989; Zbl 0676.76068) Full Text: DOI
Chen, M. On the equivalence of the Ornstein-Zernike relation and Baxter’s relations for a one-dimensional simple fluid. (English) Zbl 0308.76005 J. Math. Phys. 16, 1150-1151 (1975). MSC: 76A99 PDF BibTeX XML Cite \textit{M. Chen}, J. Math. Phys. 16, 1150--1151 (1975; Zbl 0308.76005) Full Text: DOI
Chen, M.; Madan, V. On duct flow of a linear viscoelastic fluid. (English) Zbl 0256.76001 Mathematika, Lond. 19, 180-182 (1972). MSC: 76A10 PDF BibTeX XML Cite \textit{M. Chen} and \textit{V. Madan}, Mathematika 19, 180--182 (1972; Zbl 0256.76001) Full Text: DOI