Gumus, Serap; Kalantarov, Varga Finite-parameter feedback stabilization of original Burgers’ equations and Burgers’ equation with nonlocal nonlinearities. (English) Zbl 1527.35068 Math. Methods Appl. Sci. 45, No. 1, 532-545 (2022). MSC: 35B40 35K20 35K58 93D15 PDFBibTeX XMLCite \textit{S. Gumus} and \textit{V. Kalantarov}, Math. Methods Appl. Sci. 45, No. 1, 532--545 (2022; Zbl 1527.35068) Full Text: DOI arXiv
Kalita, Piotr; Zgliczyński, Piotr Rigorous FEM for one-dimensional Burgers equation. (English) Zbl 1528.65072 SIAM J. Appl. Dyn. Syst. 20, No. 2, 853-907 (2021). MSC: 65M60 35B10 37L05 37M15 35Q53 68V15 PDFBibTeX XMLCite \textit{P. Kalita} and \textit{P. Zgliczyński}, SIAM J. Appl. Dyn. Syst. 20, No. 2, 853--907 (2021; Zbl 1528.65072) Full Text: DOI arXiv
Kundu, Sudeep; Pani, Amiya Kumar Global stabilization of two dimensional viscous Burgers’ equation by nonlinear Neumann boundary feedback control and its finite element analysis. (English) Zbl 1447.35195 J. Sci. Comput. 84, No. 3, Paper No. 45, 29 p. (2020). MSC: 35K58 35K20 65M60 65M15 93B52 93D15 PDFBibTeX XMLCite \textit{S. Kundu} and \textit{A. K. Pani}, J. Sci. Comput. 84, No. 3, Paper No. 45, 29 p. (2020; Zbl 1447.35195) Full Text: DOI arXiv
Kalita, Piotr; Zgliczyński, Piotr On non-autonomously forced Burgers equation with periodic and Dirichlet boundary conditions. (English) Zbl 1454.37074 Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 4, 2025-2054 (2020). Reviewer: Jörg Härterich (Bochum) MSC: 37L30 37L05 37L15 35B35 35B40 35K55 35B41 PDFBibTeX XMLCite \textit{P. Kalita} and \textit{P. Zgliczyński}, Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 4, 2025--2054 (2020; Zbl 1454.37074) Full Text: DOI arXiv
Kundu, Sudeep; Pani, Amiya Kumar Global stabilization of BBM-Burgers’ type equations by nonlinear boundary feedback control laws: theory and finite element error analysis. (English) Zbl 1428.35103 J. Sci. Comput. 81, No. 2, 845-880 (2019). MSC: 35G31 65M60 65M15 93D15 93D20 35Q53 35B35 35Q93 PDFBibTeX XMLCite \textit{S. Kundu} and \textit{A. K. Pani}, J. Sci. Comput. 81, No. 2, 845--880 (2019; Zbl 1428.35103) Full Text: DOI arXiv
Kundu, Sudeep; Pani, Amiya Kumar Finite element approximation to global stabilization of the Burgers’ equation by Neumann boundary feedback control law. (English) Zbl 1448.65165 Adv. Comput. Math. 44, No. 2, 541-570 (2018). MSC: 65M60 65M06 65M15 65M12 35Q93 35Q53 93D15 PDFBibTeX XMLCite \textit{S. Kundu} and \textit{A. K. Pani}, Adv. Comput. Math. 44, No. 2, 541--570 (2018; Zbl 1448.65165) Full Text: DOI
Azmi, Behzad; Kunisch, Karl On the stabilizability of the Burgers equation by receding horizon control. (English) Zbl 1352.49003 SIAM J. Control Optim. 54, No. 3, 1378-1405 (2016). MSC: 49J20 49N35 93C20 93D20 35Q53 PDFBibTeX XMLCite \textit{B. Azmi} and \textit{K. Kunisch}, SIAM J. Control Optim. 54, No. 3, 1378--1405 (2016; Zbl 1352.49003) Full Text: DOI
Costanza, Vicente; Rivadeneira, Pablo S. Minimal-power control of hydrogen evolution reactions. (English) Zbl 1204.49046 Optim. Control Appl. Methods 31, No. 2, 105-115 (2010). MSC: 49N90 93C20 92E20 35Q93 93C10 PDFBibTeX XMLCite \textit{V. Costanza} and \textit{P. S. Rivadeneira}, Optim. Control Appl. Methods 31, No. 2, 105--115 (2010; Zbl 1204.49046) Full Text: DOI
Meng, Yiping; Tian, Lixin Boundary control on the viscous Fornberg-Whitham equation. (English) Zbl 1180.35357 Nonlinear Anal., Real World Appl. 11, No. 2, 827-837 (2010). MSC: 35L67 35Q93 PDFBibTeX XMLCite \textit{Y. Meng} and \textit{L. Tian}, Nonlinear Anal., Real World Appl. 11, No. 2, 827--837 (2010; Zbl 1180.35357) Full Text: DOI
Griewank, A.; El-Danaf, Talaat S. Efficient accurate numerical treatment of the modified Burgers’ equation. (English) Zbl 1167.35470 Appl. Anal. 88, No. 1, 75-87 (2009). MSC: 35Q53 41A15 65M12 PDFBibTeX XMLCite \textit{A. Griewank} and \textit{T. S. El-Danaf}, Appl. Anal. 88, No. 1, 75--87 (2009; Zbl 1167.35470) Full Text: DOI
Singler, John R. Transition to turbulence, small disturbances, and sensitivity analysis. I: A motivating problem. (English) Zbl 1130.35354 J. Math. Anal. Appl. 337, No. 2, 1425-1441 (2008). MSC: 35Q30 76D05 PDFBibTeX XMLCite \textit{J. R. Singler}, J. Math. Anal. Appl. 337, No. 2, 1425--1441 (2008; Zbl 1130.35354) Full Text: DOI
Ramadan, Mohamed A.; El-Danaf, Talaat S. Numerical treatment for the modified Burgers equation. (English) Zbl 1205.65277 Math. Comput. Simul. 70, No. 2, 90-98 (2005). MSC: 65M70 35Q53 PDFBibTeX XMLCite \textit{M. A. Ramadan} and \textit{T. S. El-Danaf}, Math. Comput. Simul. 70, No. 2, 90--98 (2005; Zbl 1205.65277) Full Text: DOI
Ramadan, Mohamed A.; El-Danaf, Talaat S.; Abd Alaal, Faisal E. I. A numerical solution of the Burgers’ equation using septic B-splines. (English) Zbl 1075.65127 Chaos Solitons Fractals 26, No. 3, 795-804 (2005). MSC: 65M70 65M60 35K60 PDFBibTeX XMLCite \textit{M. A. Ramadan} et al., Chaos Solitons Fractals 26, No. 3, 795--804 (2005; Zbl 1075.65127) Full Text: DOI
Ramadan, Mohamed A.; El-Danaf, Talaat S.; Abd Alaal, Faisal E. I. A numerical solution of the Burgers’ equation using septic \(B\)-splines. (English) Zbl 1073.65103 Chaos Solitons Fractals 26, No. 4, 1249-1258 (2005). MSC: 65M70 65M12 35Q53 PDFBibTeX XMLCite \textit{M. A. Ramadan} et al., Chaos Solitons Fractals 26, No. 4, 1249--1258 (2005; Zbl 1073.65103) Full Text: DOI
Smaoui, Nejib Boundary and distributed control of the viscous Burgers equation. (English) Zbl 1074.93023 J. Comput. Appl. Math. 182, No. 1, 91-104 (2005). Reviewer: Vadim Komkov (Florida) MSC: 93C20 93C40 93D15 35Q53 76D55 PDFBibTeX XMLCite \textit{N. Smaoui}, J. Comput. Appl. Math. 182, No. 1, 91--104 (2005; Zbl 1074.93023) Full Text: DOI
Tröltzsch, Fredi; Volkwein, Stefan The SQP method for control constrained optimal control of the Burgers equation. (English) Zbl 1001.49035 ESAIM, Control Optim. Calc. Var. 6, 649-674 (2001). MSC: 49M30 49J20 49K20 35Q53 76N25 65K05 PDFBibTeX XMLCite \textit{F. Tröltzsch} and \textit{S. Volkwein}, ESAIM, Control Optim. Calc. Var. 6, 649--674 (2001; Zbl 1001.49035) Full Text: DOI Numdam EuDML
Liu, Wei-Jiu; Krstić, Miroslav Adaptive control of Burgers’ equation with unknown viscosity. (English) Zbl 0995.93039 Int. J. Adapt. Control Signal Process. 15, No. 7, 745-766 (2001). Reviewer: Toshihiri Kobayashi (Tobata) MSC: 93C20 93C40 35Q53 PDFBibTeX XMLCite \textit{W.-J. Liu} and \textit{M. Krstić}, Int. J. Adapt. Control Signal Process. 15, No. 7, 745--766 (2001; Zbl 0995.93039) Full Text: DOI
Balogh, A.; Gilliam, D. S.; Shubov, V. I. Stationary solutions for a boundary controlled Burgers’ equation. (English) Zbl 0967.93051 Math. Comput. Modelling 33, No. 1-3, 21-37 (2001). Reviewer: Vadim Komkov (Florida) MSC: 93C20 93D15 35B37 35Q53 35B32 PDFBibTeX XMLCite \textit{A. Balogh} et al., Math. Comput. Modelling 33, No. 1--3, 21--37 (2001; Zbl 0967.93051) Full Text: DOI
Liu, W.-J.; Krstić, M. Backstepping boundary control of Burgers’ equation with actuator dynamics. (English) Zbl 0980.93032 Syst. Control Lett. 41, No. 4, 291-303 (2000). MSC: 93C20 93D15 76D55 35Q53 PDFBibTeX XMLCite \textit{W. J. Liu} and \textit{M. Krstić}, Syst. Control Lett. 41, No. 4, 291--303 (2000; Zbl 0980.93032) Full Text: DOI
Byrnes, Christopher I.; Gilliam, David S.; Shubov, Victor I. Boundary control, stabilization and zero-pole dynamics for a nonlinear distributed parameter system. (English) Zbl 0949.93038 Int. J. Robust Nonlinear Control 9, No. 11, 737-768 (1999). MSC: 93C20 93D15 93C10 93B55 35Q53 PDFBibTeX XMLCite \textit{C. I. Byrnes} et al., Int. J. Robust Nonlinear Control 9, No. 11, 737--768 (1999; Zbl 0949.93038) Full Text: DOI
Nee, Janpou; Duan, J. Limit set of trajectories of the coupled viscous Burgers’ equations. (English) Zbl 1076.35537 Appl. Math. Lett. 11, No. 1, 57-61 (1998). MSC: 35Q53 37L30 PDFBibTeX XMLCite \textit{J. Nee} and \textit{J. Duan}, Appl. Math. Lett. 11, No. 1, 57--61 (1998; Zbl 1076.35537) Full Text: DOI arXiv