Mittal, A. K. A space-time pseudospectral method for solving multi-dimensional quasi-linear parabolic partial differential (Burgers’) equations. (English) Zbl 07763847 Appl. Numer. Math. 195, 39-53 (2024). MSC: 65Mxx 35Qxx 65Nxx PDFBibTeX XMLCite \textit{A. K. Mittal}, Appl. Numer. Math. 195, 39--53 (2024; Zbl 07763847) Full Text: DOI
Albritton, Dallas; De Nitti, Nicola Sharp bounds on enstrophy growth for viscous scalar conservation laws. (English) Zbl 07781021 Nonlinearity 36, No. 12, 7142-7148 (2023). Reviewer: Boubaker-Khaled Sadallah (Algier) MSC: 35K59 35K15 35L65 35B65 PDFBibTeX XMLCite \textit{D. Albritton} and \textit{N. De Nitti}, Nonlinearity 36, No. 12, 7142--7148 (2023; Zbl 07781021) Full Text: DOI arXiv OA License
Mittal, A. K.; Balyan, L. K.; Sharma, K. K. A spectrally accurate time-space pseudospectral method for viscous Burgers’ equation. (English) Zbl 07777358 Numer. Methods Partial Differ. Equations 39, No. 4, 3356-3374 (2023). MSC: 65M70 65N35 65M15 65H10 35K59 35Q53 PDFBibTeX XMLCite \textit{A. K. Mittal} et al., Numer. Methods Partial Differ. Equations 39, No. 4, 3356--3374 (2023; Zbl 07777358) Full Text: DOI
Liu, Yue; Zhao, Zhen; Zhang, Yanni; Pang, Jing Approximate solutions to fractional differential equations. (English) Zbl 1528.76027 AMM, Appl. Math. Mech., Engl. Ed. 44, No. 10, 1791-1802 (2023). MSC: 76D99 76M45 26A33 PDFBibTeX XMLCite \textit{Y. Liu} et al., AMM, Appl. Math. Mech., Engl. Ed. 44, No. 10, 1791--1802 (2023; Zbl 1528.76027) Full Text: DOI
Ye, Zhuan Global regularity of multi-dimensional Burgers equation with critical dissipation only in one direction. (English) Zbl 1526.35104 Dyn. Partial Differ. Equ. 20, No. 4, 367-378 (2023). MSC: 35B65 35Q35 35Q53 76D05 PDFBibTeX XMLCite \textit{Z. Ye}, Dyn. Partial Differ. Equ. 20, No. 4, 367--378 (2023; Zbl 1526.35104) Full Text: DOI
Zhukov, M. Yu.; Polyakova, N. M. Asymptotic models of flow in a pipe with compliant walls. (Russian. English summary) Zbl 07743973 Vladikavkaz. Mat. Zh. 25, No. 2, 89-102 (2023). MSC: 76D05 35B20 35C20 35L40 35C10 PDFBibTeX XMLCite \textit{M. Yu. Zhukov} and \textit{N. M. Polyakova}, Vladikavkaz. Mat. Zh. 25, No. 2, 89--102 (2023; Zbl 07743973) Full Text: DOI MNR
Shen, Weiyu; Yao, Jie; Hussain, Fazle; Yang, Yue Role of internal structures within a vortex in helicity dynamics. (English) Zbl 1528.76021 J. Fluid Mech. 970, Paper No. A26, 23 p. (2023). MSC: 76D17 76D05 76M22 76M20 PDFBibTeX XMLCite \textit{W. Shen} et al., J. Fluid Mech. 970, Paper No. A26, 23 p. (2023; Zbl 1528.76021) Full Text: DOI
Kaushik, Sonali; Kumar, Rajesh Optimized decomposition method for solving multi-dimensional Burgers’ equation. (English) Zbl 07703408 Math. Comput. Simul. 208, 326-350 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{S. Kaushik} and \textit{R. Kumar}, Math. Comput. Simul. 208, 326--350 (2023; Zbl 07703408) Full Text: DOI
Kerkhoff, Xenia; May, Sandra Commutative properties for conservative space-time DG discretizations of optimal control problems involving the viscous Burgers equation. (English) Zbl 1516.49030 Math. Control Relat. Fields 13, No. 1, 193-214 (2023). MSC: 49M41 65M60 PDFBibTeX XMLCite \textit{X. Kerkhoff} and \textit{S. May}, Math. Control Relat. Fields 13, No. 1, 193--214 (2023; Zbl 1516.49030) Full Text: DOI
Cengizci, Süleyman; Uğur, Ömür A stabilized FEM formulation with discontinuity-capturing for solving Burgers’-type equations at high Reynolds numbers. (English) Zbl 1511.76051 Appl. Math. Comput. 442, Article ID 127705, 16 p. (2023). MSC: 76M10 76D05 PDFBibTeX XMLCite \textit{S. Cengizci} and \textit{Ö. Uğur}, Appl. Math. Comput. 442, Article ID 127705, 16 p. (2023; Zbl 1511.76051) Full Text: DOI
Feng, Dongyan; Imin, Rahmatjan A kernel derivative free SPH method. (English) Zbl 1509.76065 Results Appl. Math. 17, Article ID 100355, 14 p. (2023). MSC: 76M28 76D99 PDFBibTeX XMLCite \textit{D. Feng} and \textit{R. Imin}, Results Appl. Math. 17, Article ID 100355, 14 p. (2023; Zbl 1509.76065) Full Text: DOI
Nasibov, Sh. M. On one interpolation inequality and its application to the Bürgers equation. (English. Russian original) Zbl 1519.35244 Theor. Math. Phys. 214, No. 2, 207-209 (2023); translation from Teor. Mat. Fiz. 214, No. 2, 239-242 (2023). MSC: 35Q35 76D05 PDFBibTeX XMLCite \textit{Sh. M. Nasibov}, Theor. Math. Phys. 214, No. 2, 207--209 (2023; Zbl 1519.35244); translation from Teor. Mat. Fiz. 214, No. 2, 239--242 (2023) Full Text: DOI
Nguyen, Hai V.; Bui-Thanh, Tan A model-constrained tangent slope learning approach for dynamical systems. (English) Zbl 1509.76069 Int. J. Comput. Fluid Dyn. 36, No. 7, 655-685 (2022). MSC: 76M99 76M20 76D05 76D99 68T05 PDFBibTeX XMLCite \textit{H. V. Nguyen} and \textit{T. Bui-Thanh}, Int. J. Comput. Fluid Dyn. 36, No. 7, 655--685 (2022; Zbl 1509.76069) Full Text: DOI arXiv
Canet, Léonie Functional renormalisation group for turbulence. (English) Zbl 1515.76072 J. Fluid Mech. 950, Paper No. P1, 75 p. (2022). MSC: 76F20 76F05 76D05 PDFBibTeX XMLCite \textit{L. Canet}, J. Fluid Mech. 950, Paper No. P1, 75 p. (2022; Zbl 1515.76072) Full Text: DOI arXiv
Kuksin, Sergei Kolmogorov’s theory of turbulence and its rigorous 1d model. (English. French summary) Zbl 1491.60103 Ann. Math. Qué. 46, No. 1, 181-193 (2022). Reviewer: Dejun Luo (Beijing) MSC: 60H15 76F02 35Q35 PDFBibTeX XMLCite \textit{S. Kuksin}, Ann. Math. Qué. 46, No. 1, 181--193 (2022; Zbl 1491.60103) Full Text: DOI arXiv
Dong, W. B.; Tang, H. S.; Liu, Y. J. Convergence analysis on computation of coupled advection-diffusion-reaction problems. (English) Zbl 1510.65235 Appl. Math. Comput. 420, Article ID 126876, 18 p. (2022). MSC: 65M55 35K57 65M15 PDFBibTeX XMLCite \textit{W. B. Dong} et al., Appl. Math. Comput. 420, Article ID 126876, 18 p. (2022; Zbl 1510.65235) Full Text: DOI arXiv
Setia, Nikita; Mohanty, R. K. A third-order finite difference method on a quasi-variable mesh for nonlinear two point boundary value problems with Robin boundary conditions. (English) Zbl 1498.65128 Soft Comput. 25, No. 20, 12775-12788 (2021). MSC: 65L12 65L10 65L11 PDFBibTeX XMLCite \textit{N. Setia} and \textit{R. K. Mohanty}, Soft Comput. 25, No. 20, 12775--12788 (2021; Zbl 1498.65128) Full Text: DOI
Dunlap, Alexander; Ryzhik, Lenya Viscous shock solutions to the stochastic Burgers equation. (English) Zbl 1481.35275 Arch. Ration. Mech. Anal. 242, No. 2, 937-971 (2021). Reviewer: Feng-Yu Wang (Swansea) MSC: 35L67 35K65 35R60 PDFBibTeX XMLCite \textit{A. Dunlap} and \textit{L. Ryzhik}, Arch. Ration. Mech. Anal. 242, No. 2, 937--971 (2021; Zbl 1481.35275) Full Text: DOI arXiv
Crowdy, Darren G. Exact solutions for the formation of stagnant caps of insoluble surfactant on a planar free surface. (English) Zbl 1480.76042 J. Eng. Math. 131, Paper No. 10, 19 p. (2021). MSC: 76D45 76V05 76D07 76M40 PDFBibTeX XMLCite \textit{D. G. Crowdy}, J. Eng. Math. 131, Paper No. 10, 19 p. (2021; Zbl 1480.76042) Full Text: DOI
Mohanty, R. K.; Li, Yuan; Sharma, Divya A new exponential compact scheme for the two-dimensional unsteady nonlinear Burgers’ and Navier-Stokes equations in polar cylindrical coordinates. (English) Zbl 1488.65269 Numer. Math., Theory Methods Appl. 14, No. 2, 488-507 (2021). MSC: 65M06 65M12 65N06 76D05 76G25 76Q05 76F65 76M20 35Q35 PDFBibTeX XMLCite \textit{R. K. Mohanty} et al., Numer. Math., Theory Methods Appl. 14, No. 2, 488--507 (2021; Zbl 1488.65269) Full Text: DOI
Li, Yunzhang; Shu, Chi-Wang; Tang, Shanjian A local discontinuous Galerkin method for nonlinear parabolic SPDEs. (English) Zbl 1480.65019 ESAIM, Math. Model. Numer. Anal. 55, Suppl., 187-223 (2021). MSC: 65C30 60H35 60H15 65M60 65M12 PDFBibTeX XMLCite \textit{Y. Li} et al., ESAIM, Math. Model. Numer. Anal. 55, 187--223 (2021; Zbl 1480.65019) Full Text: DOI
Le, Uyen; Pelinovsky, Dmitry E.; Poullet, Pascal Asymptotic stability of viscous shocks in the modular Burgers equation. (English) Zbl 1475.35052 Nonlinearity 34, No. 9, 5979-6016 (2021). Reviewer: Sergey G. Pyatkov (Khanty-Mansiysk) MSC: 35B40 35C07 35C15 35K55 35Q35 35L67 35B35 PDFBibTeX XMLCite \textit{U. Le} et al., Nonlinearity 34, No. 9, 5979--6016 (2021; Zbl 1475.35052) Full Text: DOI arXiv
Destuynder, Philippe; Liberge, Erwan A few remarks on penalty and penalty-duality methods in fluid-structure interactions. (English) Zbl 1466.76019 Appl. Numer. Math. 167, 1-30 (2021). MSC: 76D55 76M30 74F10 PDFBibTeX XMLCite \textit{P. Destuynder} and \textit{E. Liberge}, Appl. Numer. Math. 167, 1--30 (2021; Zbl 1466.76019) Full Text: DOI arXiv
Jornet, Marc Uncertainty quantification for the random viscous Burgers’ partial differential equation by using the differential transform method. (English) Zbl 1466.35378 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 209, Article ID 112340, 13 p. (2021). MSC: 35R60 35K15 35K58 60H35 65C30 PDFBibTeX XMLCite \textit{M. Jornet}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 209, Article ID 112340, 13 p. (2021; Zbl 1466.35378) Full Text: DOI
Geshkovski, Borjan; Zuazua, Enrique Controllability of one-dimensional viscous free boundary flows. (English) Zbl 1467.93034 SIAM J. Control Optim. 59, No. 3, 1830-1850 (2021). MSC: 93B05 93C20 35R35 35Q35 PDFBibTeX XMLCite \textit{B. Geshkovski} and \textit{E. Zuazua}, SIAM J. Control Optim. 59, No. 3, 1830--1850 (2021; Zbl 1467.93034) Full Text: DOI
Wang, Xuping; Zhang, Qifeng; Sun, Zhi-zhong The pointwise error estimates of two energy-preserving fourth-order compact schemes for viscous Burgers’ equation. (English) Zbl 1472.65103 Adv. Comput. Math. 47, No. 2, Paper No. 23, 42 p. (2021). MSC: 65M06 65M15 35Q53 PDFBibTeX XMLCite \textit{X. Wang} et al., Adv. Comput. Math. 47, No. 2, Paper No. 23, 42 p. (2021; Zbl 1472.65103) Full Text: DOI
Zhang, Qifeng; Qin, Yifan; Wang, Xuping; Sun, Zhi-zhong The study of exact and numerical solutions of the generalized viscous Burgers’ equation. (English) Zbl 1453.65240 Appl. Math. Lett. 112, Article ID 106719, 9 p. (2021). MSC: 65M06 65M12 65M15 65J08 35Q53 PDFBibTeX XMLCite \textit{Q. Zhang} et al., Appl. Math. Lett. 112, Article ID 106719, 9 p. (2021; Zbl 1453.65240) Full Text: DOI
Berselli, Luigi C.; Iliescu, Traian; Koc, Birgul; Lewandowski, Roger Long-time Reynolds averaging of reduced order models for fluid flows: Preliminary results. (English) Zbl 1511.76016 Math. Eng. (Springfield) 2, No. 1, 1-25 (2020). MSC: 76D05 35Q30 PDFBibTeX XMLCite \textit{L. C. Berselli} et al., Math. Eng. (Springfield) 2, No. 1, 1--25 (2020; Zbl 1511.76016) Full Text: DOI arXiv
Clemence-Mkhope, D. P.; Rabeeb Ali, V. P.; Awasthi, Ashish Non-standard finite difference based numerical method for viscous Burgers’ equation. (English) Zbl 1472.65098 Int. J. Appl. Comput. Math. 6, No. 6, Paper No. 154, 18 p. (2020). MSC: 65M06 35Q53 PDFBibTeX XMLCite \textit{D. P. Clemence-Mkhope} et al., Int. J. Appl. Comput. Math. 6, No. 6, Paper No. 154, 18 p. (2020; Zbl 1472.65098) Full Text: DOI
Mohanty, Ranjan Kumar; Yuan, Li; Sharma, Divya A new compact scheme in exponential form for two-dimensional time-dependent Burgers’ and Navier-Stokes equations. (English) Zbl 1468.65103 East Asian J. Appl. Math. 10, No. 3, 437-454 (2020). MSC: 65M06 65M15 76D05 35Q35 PDFBibTeX XMLCite \textit{R. K. Mohanty} et al., East Asian J. Appl. Math. 10, No. 3, 437--454 (2020; Zbl 1468.65103) Full Text: DOI
Strani, Marta The role of a regularization in hyperbolic instabilities. (English) Zbl 1459.35272 Bressan, Alberto (ed.) et al., Hyperbolic problems: theory, numerics, applications. Proceedings of the 17th international conference, HYP2018, Pennsylvania State University, University Park, PA, USA, June 25–29, 2018. Springfield, MO: American Institute of Mathematical Sciences (AIMS). AIMS Ser. Appl. Math. 10, 649-657 (2020). MSC: 35L45 35K58 35B35 35Q31 PDFBibTeX XMLCite \textit{M. Strani}, AIMS Ser. Appl. Math. 10, 649--657 (2020; Zbl 1459.35272)
Fu, Guosheng; Wang, Zhu POD-(H)DG method for incompressible flow simulations. (English) Zbl 1451.65188 J. Sci. Comput. 85, No. 2, Paper No. 24, 19 p. (2020). MSC: 65N30 65M06 65M99 65N12 76S05 76D05 PDFBibTeX XMLCite \textit{G. Fu} and \textit{Z. Wang}, J. Sci. Comput. 85, No. 2, Paper No. 24, 19 p. (2020; Zbl 1451.65188) Full Text: DOI arXiv
Ramaswamy, Mythily; Roy, Arnab; Takahashi, Takéo Remark on the global null controllability for a viscous Burgers-particle system with particle supported control. (English) Zbl 1441.35033 Appl. Math. Lett. 107, Article ID 106483, 6 p. (2020). MSC: 35B30 35K20 35Q35 93B05 PDFBibTeX XMLCite \textit{M. Ramaswamy} et al., Appl. Math. Lett. 107, Article ID 106483, 6 p. (2020; Zbl 1441.35033) Full Text: DOI arXiv
Sulaiman, Tukur Abdulkadir; Yavuz, Mehmet; Bulut, Hasan; Baskonus, Haci Mehmet Investigation of the fractional coupled viscous Burgers’ equation involving Mittag-Leffler kernel. (English) Zbl 07568257 Physica A 527, Article ID 121126, 20 p. (2019). MSC: 82-XX PDFBibTeX XMLCite \textit{T. A. Sulaiman} et al., Physica A 527, Article ID 121126, 20 p. (2019; Zbl 07568257) Full Text: DOI
Macías-Díaz, Jorge Eduardo; İnan, Bilge Numerical efficiency of some exponential methods for an advection-diffusion equation. (English) Zbl 1499.65413 Int. J. Comput. Math. 96, No. 5, 1005-1029 (2019). MSC: 65M06 65N06 65M12 35K20 41A21 PDFBibTeX XMLCite \textit{J. E. Macías-Díaz} and \textit{B. İnan}, Int. J. Comput. Math. 96, No. 5, 1005--1029 (2019; Zbl 1499.65413) Full Text: DOI
Carasso, Alfred S. Stable explicit stepwise marching scheme in ill-posed time-reversed 2D Burgers’ equation. (English) Zbl 1466.65101 Inverse Probl. Sci. Eng. 27, No. 12, 1672-1688 (2019). Reviewer: Carlos A. De Moura (Rio de Janeiro) MSC: 65M30 65M06 65M12 35R25 35K59 35Q53 PDFBibTeX XMLCite \textit{A. S. Carasso}, Inverse Probl. Sci. Eng. 27, No. 12, 1672--1688 (2019; Zbl 1466.65101) Full Text: DOI Link
San, Omer; Maulik, Romit; Ahmed, Mansoor An artificial neural network framework for reduced order modeling of transient flows. (English) Zbl 1479.76082 Commun. Nonlinear Sci. Numer. Simul. 77, 271-287 (2019). MSC: 76M99 76D33 68T05 92B20 PDFBibTeX XMLCite \textit{O. San} et al., Commun. Nonlinear Sci. Numer. Simul. 77, 271--287 (2019; Zbl 1479.76082) Full Text: DOI arXiv
Dascaliuc, Radu; Michalowski, Nicholas; Thomann, Enrique; Waymire, Edward C. Complex Burgers equation: a probabilistic perspective. (English) Zbl 1442.35373 Sidoravicius, Vladas (ed.), Sojourns in probability theory and statistical physics. I. Spin glasses and statistical mechanics, a festschrift for Charles M. Newman. Singapore: Springer; Shanghai: NYU Shanghai. Springer Proc. Math. Stat. 298, 138-170 (2019). MSC: 35Q53 35Q30 76D03 76D05 35B65 35C06 82C41 35R60 PDFBibTeX XMLCite \textit{R. Dascaliuc} et al., Springer Proc. Math. Stat. 298, 138--170 (2019; Zbl 1442.35373) Full Text: DOI
Liu, Feifei; Wang, Yulan; Li, Shuguang Barycentric interpolation collocation method for solving the coupled viscous Burgers’ equations. (English) Zbl 1499.35191 Int. J. Comput. Math. 95, No. 11, 2162-2173 (2018). MSC: 35G61 35Q35 65M70 PDFBibTeX XMLCite \textit{F. Liu} et al., Int. J. Comput. Math. 95, No. 11, 2162--2173 (2018; Zbl 1499.35191) Full Text: DOI
Nosratipour, Hadi; Fard, Omid Solaymani; Borzabadi, Akbar Hashemi Optimal control of viscous Burgers equation via an adaptive nonmonotone Barzilai-Borwein gradient method. (English) Zbl 1499.65244 Int. J. Comput. Math. 95, No. 9, 1858-1873 (2018). MSC: 65K10 90C30 PDFBibTeX XMLCite \textit{H. Nosratipour} et al., Int. J. Comput. Math. 95, No. 9, 1858--1873 (2018; Zbl 1499.65244) Full Text: DOI
Dumont, Serge; Manoubi, Imen Numerical solutions to a BBM-Burgers model with a nonlocal viscous term. (English) Zbl 1407.76094 Numer. Methods Partial Differ. Equations 34, No. 6, 2279-2300 (2018). MSC: 76M20 65M06 65L06 65D32 35R11 35Q35 76B15 PDFBibTeX XMLCite \textit{S. Dumont} and \textit{I. Manoubi}, Numer. Methods Partial Differ. Equations 34, No. 6, 2279--2300 (2018; Zbl 1407.76094) Full Text: DOI
Singh, Brajesh Kumar; Kumar, Pramod; Kumar, Vineet Homotopy perturbation method for solving time fractional coupled viscous Burgers’ equation in \((2+1)\) and \((3+1)\) dimensions. (English) Zbl 1382.65288 Int. J. Appl. Comput. Math. 4, No. 1, Paper No. 38, 25 p. (2018). MSC: 65M22 35Q53 35R11 35C10 65M12 PDFBibTeX XMLCite \textit{B. K. Singh} et al., Int. J. Appl. Comput. Math. 4, No. 1, Paper No. 38, 25 p. (2018; Zbl 1382.65288) Full Text: DOI
Micu, Sorin; Takahashi, Takéo Local controllability to stationary trajectories of a Burgers equation with nonlocal viscosity. (English) Zbl 1377.93047 J. Differ. Equations 264, No. 5, 3664-3703 (2018). MSC: 93B05 93B07 93C20 35Q53 35P20 93B18 PDFBibTeX XMLCite \textit{S. Micu} and \textit{T. Takahashi}, J. Differ. Equations 264, No. 5, 3664--3703 (2018; Zbl 1377.93047) Full Text: DOI
Nojavan, Hananeh; Abbasbandy, Saeid; Allahviranloo, Tofigh Variable shape parameter strategy in local radial basis functions collocation method for solving the 2D nonlinear coupled Burgers’ equations. (English) Zbl 1408.65075 Mathematics 5, No. 3, Paper No. 38, 21 p. (2017). Reviewer: Weizhong Dai (Ruston) MSC: 65M70 65L05 35Q53 76D33 35Q35 PDFBibTeX XMLCite \textit{H. Nojavan} et al., Mathematics 5, No. 3, Paper No. 38, 21 p. (2017; Zbl 1408.65075) Full Text: DOI
Unterberger, Jérémie Global existence for strong solutions of viscous Burgers equation. (The bounded case). (English) Zbl 1388.35167 Control Cybern. 46, No. 2, 109-136 (2017). MSC: 35Q35 35B50 35A09 76D05 35R60 35B45 PDFBibTeX XMLCite \textit{J. Unterberger}, Control Cybern. 46, No. 2, 109--136 (2017; Zbl 1388.35167) Full Text: arXiv
Kooij, G. L.; Botchev, M. A.; Geurts, B. J. A block Krylov subspace implementation of the time-parallel Paraexp method and its extension for nonlinear partial differential equations. (English) Zbl 1375.65130 J. Comput. Appl. Math. 316, 229-246 (2017). MSC: 65M55 35K55 35Q53 65Y05 PDFBibTeX XMLCite \textit{G. L. Kooij} et al., J. Comput. Appl. Math. 316, 229--246 (2017; Zbl 1375.65130) Full Text: DOI arXiv
Ignat, Liviu I.; Ignat, Tatiana I. Long-time behavior for a nonlocal convection diffusion equation. (English) Zbl 1370.35055 J. Math. Anal. Appl. 455, No. 1, 816-831 (2017). MSC: 35B40 35C06 35C20 45G10 PDFBibTeX XMLCite \textit{L. I. Ignat} and \textit{T. I. Ignat}, J. Math. Anal. Appl. 455, No. 1, 816--831 (2017; Zbl 1370.35055) Full Text: DOI arXiv
Shirikyan, Armen Global exponential stabilisation for the Burgers equation with localised control. (English. French summary) Zbl 1370.35058 J. Éc. Polytech., Math. 4, 613-632 (2017). MSC: 35B40 35L65 35Q93 93C20 PDFBibTeX XMLCite \textit{A. Shirikyan}, J. Éc. Polytech., Math. 4, 613--632 (2017; Zbl 1370.35058) Full Text: DOI arXiv
Kumar, N.; ten Thije Boonkkamp, J. H. M.; Koren, B.; Linke, A. A nonlinear flux approximation scheme for the viscous Burgers equation. (English) Zbl 1365.76161 Cancès, Clément (ed.) et al., Finite volumes for complex applications VIII – hyperbolic, elliptic and parabolic problems. FVCA 8, Lille, France, June 12–16, 2017. Cham: Springer (ISBN 978-3-319-57393-9/hbk; 978-3-319-57394-6/ebook; 978-3-319-58818-6/set). Springer Proceedings in Mathematics & Statistics 200, 457-465 (2017). MSC: 76M12 65M08 35Q53 PDFBibTeX XMLCite \textit{N. Kumar} et al., Springer Proc. Math. Stat. 200, 457--465 (2017; Zbl 1365.76161) Full Text: DOI Link
Tsai, Chih-Ching; Shih, Yin-Tzer; Lin, Yu-Tuan; Wang, Hui-Ching Tailored finite point method for solving one-dimensional Burgers’ equation. (English) Zbl 1364.65219 Int. J. Comput. Math. 94, No. 4, 800-812 (2017). MSC: 65M99 35Q35 35K55 PDFBibTeX XMLCite \textit{C.-C. Tsai} et al., Int. J. Comput. Math. 94, No. 4, 800--812 (2017; Zbl 1364.65219) Full Text: DOI
Enomoto, Shota Large time behavior of solutions to the compressible Navier-Stokes equations around periodic steady states. (English) Zbl 1381.35118 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 152, 61-87 (2017). MSC: 35Q30 35Q35 35B40 PDFBibTeX XMLCite \textit{S. Enomoto}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 152, 61--87 (2017; Zbl 1381.35118) Full Text: DOI
Belal, Mohammad; Hasan, Nadeem Solution of viscous Burgers equation using a new flux based scheme. (English) Zbl 1366.76069 Cushing, Jim M. (ed.) et al., Applied analysis in biological and physical sciences. ICMBAA, Aligarh, India, June 4–6, 2015. New Delhi: Springer (ISBN 978-81-322-3638-2/hbk; 978-81-322-3640-5/ebook). Springer Proceedings in Mathematics & Statistics 186, 227-241 (2016). MSC: 76M25 35Q35 PDFBibTeX XMLCite \textit{M. Belal} and \textit{N. Hasan}, Springer Proc. Math. Stat. 186, 227--241 (2016; Zbl 1366.76069) Full Text: DOI
May, Sandra Spacetime discontinuous Galerkin methods for convection-diffusion equations. (English) Zbl 1360.65238 Bull. Braz. Math. Soc. (N.S.) 47, No. 2, 561-573 (2016). Reviewer: Dana Černá (Liberec) MSC: 65M60 65M12 35L65 35K55 35Q53 35L20 PDFBibTeX XMLCite \textit{S. May}, Bull. Braz. Math. Soc. (N.S.) 47, No. 2, 561--573 (2016; Zbl 1360.65238) Full Text: DOI
Bhatt, H. P.; Khaliq, A. Q. M. Fourth-order compact schemes for the numerical simulation of coupled Burgers’ equation. (English) Zbl 1351.35167 Comput. Phys. Commun. 200, 117-138 (2016). MSC: 35Q53 65M06 PDFBibTeX XMLCite \textit{H. P. Bhatt} and \textit{A. Q. M. Khaliq}, Comput. Phys. Commun. 200, 117--138 (2016; Zbl 1351.35167) Full Text: DOI
Cyranka, Jacek; Zgliczyński, Piotr Stabilizing effect of large average initial velocity in forced dissipative PDEs invariant with respect to Galilean transformations. (English) Zbl 1347.35041 J. Differ. Equations 261, No. 8, 4648-4708 (2016). MSC: 35B40 35Q30 35B41 35B27 PDFBibTeX XMLCite \textit{J. Cyranka} and \textit{P. Zgliczyński}, J. Differ. Equations 261, No. 8, 4648--4708 (2016; Zbl 1347.35041) Full Text: DOI arXiv
Sabeh, Z.; Shamsi, M.; Dehghan, Mehdi Distributed optimal control of the viscous Burgers equation via a Legendre pseudo-spectral approach. (English) Zbl 1344.49053 Math. Methods Appl. Sci. 39, No. 12, 3350-3360 (2016). MSC: 49M30 49M37 49M05 49J20 49K15 65K10 65M70 35Q53 PDFBibTeX XMLCite \textit{Z. Sabeh} et al., Math. Methods Appl. Sci. 39, No. 12, 3350--3360 (2016; Zbl 1344.49053) Full Text: DOI
Allahverdi, Navid; Pozo, Alejandro; Zuazua, Enrique Numerical aspects of sonic-boom minimization. (English) Zbl 1345.49039 da Fonseca, Carlos M. et al., A panorama of mathematics: pure and applied. Conference mathematics and its applications, Kuwait University, Safat, Kuwait, November 14–17, 2014. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1668-3/pbk; 978-1-4704-2902-7/ebook). Contemporary Mathematics 658, 267-279 (2016). MSC: 49M25 35Q35 35B40 PDFBibTeX XMLCite \textit{N. Allahverdi} et al., Contemp. Math. 658, 267--279 (2016; Zbl 1345.49039) Full Text: DOI Link
Behzad, Fariduddin; Helenbrook, Brian T.; Ahmadi, Goodarz On the sensitivity and accuracy of proper-orthogonal-decomposition-based reduced order models for Burgers equation. (English) Zbl 1390.76291 Comput. Fluids 106, 19-32 (2015). MSC: 76M10 76M20 65M60 65M70 76D05 PDFBibTeX XMLCite \textit{F. Behzad} et al., Comput. Fluids 106, 19--32 (2015; Zbl 1390.76291) Full Text: DOI
Cyranka, Jacek Existence of globally attracting fixed points of viscous Burgers equation with constant forcing. A computer assisted proof. (English) Zbl 1365.65220 Topol. Methods Nonlinear Anal. 45, No. 2, 655-697 (2015). MSC: 65M60 35Q53 PDFBibTeX XMLCite \textit{J. Cyranka}, Topol. Methods Nonlinear Anal. 45, No. 2, 655--697 (2015; Zbl 1365.65220) Full Text: DOI arXiv
Ren, Jinlian; Jiang, Tao; Zhu, Ying A corrected finite pointset method for solving the nonlinear dynamics problems. (Chinese. English summary) Zbl 1349.65478 J. Yangzhou Univ., Nat. Sci. Ed. 18, No. 3, 20-23, 36 (2015). MSC: 65M60 35Q53 PDFBibTeX XMLCite \textit{J. Ren} et al., J. Yangzhou Univ., Nat. Sci. Ed. 18, No. 3, 20--23, 36 (2015; Zbl 1349.65478)
Mohanty, R. K.; Talwar, J. A new compact alternating group explicit iteration method for the solution of nonlinear time-dependent viscous Burgers’ equation. (Russian, English) Zbl 1363.76054 Sib. Zh. Vychisl. Mat. 18, No. 4, 389-405 (2015); translation in Numer. Analysis Appl. 8, No. 4, 314-328 (2015). MSC: 76M25 65N12 35Q53 PDFBibTeX XMLCite \textit{R. K. Mohanty} and \textit{J. Talwar}, Sib. Zh. Vychisl. Mat. 18, No. 4, 389--405 (2015; Zbl 1363.76054); translation in Numer. Analysis Appl. 8, No. 4, 314--328 (2015) Full Text: DOI
Mohanty, R. K.; Dai, Weizhong; Han, Fei Compact operator method of accuracy two in time and four in space for the numerical solution of coupled viscous Burgers’ equations. (English) Zbl 1339.65133 Appl. Math. Comput. 256, 381-393 (2015). MSC: 65M06 35Q53 PDFBibTeX XMLCite \textit{R. K. Mohanty} et al., Appl. Math. Comput. 256, 381--393 (2015; Zbl 1339.65133) Full Text: DOI
Caflisch, Russel E.; Gargano, Francesco; Sammartino, Marco; Sciacca, Vincenzo Complex singularities and PDEs. (English) Zbl 1342.65193 Riv. Mat. Univ. Parma (N.S.) 6, No. 1, 69-133 (2015). MSC: 65M60 35Q35 76D05 76D10 35Q53 35A20 35Q30 PDFBibTeX XMLCite \textit{R. E. Caflisch} et al., Riv. Mat. Univ. Parma (N.S.) 6, No. 1, 69--133 (2015; Zbl 1342.65193) Full Text: arXiv
Bréhier, Charles-Edouard; Faou, Erwan Analysis of the Monte-Carlo error in a hybrid semi-Lagrangian scheme. (English) Zbl 1339.65007 AMRX, Appl. Math. Res. Express 2015, No. 2, 167-203 (2015). Reviewer: Vassil Grozdanov (Blagoevgrad) MSC: 65C05 65C30 65C35 65C40 65M70 65M75 35L03 35Q53 35K05 65M15 PDFBibTeX XMLCite \textit{C.-E. Bréhier} and \textit{E. Faou}, AMRX, Appl. Math. Res. Express 2015, No. 2, 167--203 (2015; Zbl 1339.65007) Full Text: DOI arXiv
Aoyama, Reika; Kagei, Yoshiyuki Large time behavior of solutions to the compressible Navier-Stokes equations around a parallel flow in a cylindrical domain. (English) Zbl 1326.35231 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 127, 362-396 (2015). MSC: 35Q30 35Q53 35B40 76N10 76E05 PDFBibTeX XMLCite \textit{R. Aoyama} and \textit{Y. Kagei}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 127, 362--396 (2015; Zbl 1326.35231) Full Text: DOI
Mittal, R. C.; Kaur, Harpreet; Mishra, Vinod Haar wavelet-based numerical investigation of coupled viscous Burgers’ equation. (English) Zbl 1320.65147 Int. J. Comput. Math. 92, No. 8, 1643-1659 (2015). MSC: 65M70 65T60 65M12 35Q53 PDFBibTeX XMLCite \textit{R. C. Mittal} et al., Int. J. Comput. Math. 92, No. 8, 1643--1659 (2015; Zbl 1320.65147) Full Text: DOI
Cyranka, Jacek; Zgliczyński, Piotr Existence of globally attracting solutions for one-dimensional viscous Burgers equation with nonautonomous forcing – a computer assisted proof. (English) Zbl 1312.65170 SIAM J. Appl. Dyn. Syst. 14, No. 2, 787-821 (2015). MSC: 65M99 35B40 35Q53 37B55 65G40 PDFBibTeX XMLCite \textit{J. Cyranka} and \textit{P. Zgliczyński}, SIAM J. Appl. Dyn. Syst. 14, No. 2, 787--821 (2015; Zbl 1312.65170) Full Text: DOI arXiv
Dai, Chao-Qing; Yu, Fang-Bo Special solitonic localized structures for the \((3 + 1)\)-dimensional Burgers equation in water waves. (English) Zbl 1524.35522 Wave Motion 51, No. 1, 52-59 (2014). MSC: 35Q53 35C08 76D33 PDFBibTeX XMLCite \textit{C.-Q. Dai} and \textit{F.-B. Yu}, Wave Motion 51, No. 1, 52--59 (2014; Zbl 1524.35522) Full Text: DOI
Sidnyaev, N. I.; Gordeeva, N. M. On the accuracy of difference scheme for Navier-Stokes equations. (Russian. English summary) Zbl 1413.65331 Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 2014, No. 1(34), 156-167 (2014). MSC: 65M06 76D05 65M12 65Z05 35Q30 35Q31 35Q35 PDFBibTeX XMLCite \textit{N. I. Sidnyaev} and \textit{N. M. Gordeeva}, Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 2014, No. 1(34), 156--167 (2014; Zbl 1413.65331) Full Text: DOI MNR
Kumar, Manoj; Pandit, Sapna A composite numerical scheme for the numerical simulation of coupled Burgers’ equation. (English) Zbl 1360.35117 Comput. Phys. Commun. 185, No. 3, 809-817 (2014). MSC: 35L60 65M06 65M12 65M15 PDFBibTeX XMLCite \textit{M. Kumar} and \textit{S. Pandit}, Comput. Phys. Commun. 185, No. 3, 809--817 (2014; Zbl 1360.35117) Full Text: DOI
Cuesta, Carlota M. A non-local KdV-Burgers equation: numerical study of travelling waves. (English) Zbl 1329.76100 Commun. Appl. Ind. Math. 6, No. 2, Article ID 533, 21 p. (2014). MSC: 76D33 26A33 35Q53 35C07 65L06 PDFBibTeX XMLCite \textit{C. M. Cuesta}, Commun. Appl. Ind. Math. 6, No. 2, Article ID 533, 21 p. (2014; Zbl 1329.76100)
Akkari, N.; Hamdouni, A.; Jazar, M. Mathematical and numerical results on the parametric sensitivity of a ROM-POD of the Burgers equation. (English) Zbl 1309.76119 Eur. J. Comput. Mech. 23, No. 1-2, 78-95 (2014). MSC: 76M10 76D55 76D05 76M30 35Q53 PDFBibTeX XMLCite \textit{N. Akkari} et al., Eur. J. Comput. Mech. 23, No. 1--2, 78--95 (2014; Zbl 1309.76119) Full Text: DOI
Carvajal, Xavier; Panthee, Mahendra On the well-posedness of higher order viscous Burgers’ equations. (English) Zbl 1333.35231 J. Math. Anal. Appl. 417, No. 1, 1-22 (2014). MSC: 35Q53 35B30 35K30 35B65 35B45 PDFBibTeX XMLCite \textit{X. Carvajal} and \textit{M. Panthee}, J. Math. Anal. Appl. 417, No. 1, 1--22 (2014; Zbl 1333.35231) Full Text: DOI arXiv
Badra, Mehdi; Takahashi, Takéo Feedback stabilization of a simplified 1d fluid-particle system. (English) Zbl 1302.74057 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 31, No. 2, 369-389 (2014). MSC: 74F10 35Q35 76D55 93C20 93D15 PDFBibTeX XMLCite \textit{M. Badra} and \textit{T. Takahashi}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 31, No. 2, 369--389 (2014; Zbl 1302.74057) Full Text: DOI
Wirtz, D.; Sorensen, D. C.; Haasdonk, B. A posteriori error estimation for DEIM reduced nonlinear dynamical systems. (English) Zbl 1312.65127 SIAM J. Sci. Comput. 36, No. 2, 311-338 (2014). Reviewer: Qasem Al-Mdallal (Al-Ain) MSC: 65L70 65L05 34A34 65M15 35K57 PDFBibTeX XMLCite \textit{D. Wirtz} et al., SIAM J. Sci. Comput. 36, No. 2, 311--338 (2014; Zbl 1312.65127) Full Text: DOI Link
Shirikyan, Armen Approximate controllability of the viscous Burgers equation on the real line. (English) Zbl 1291.93046 Stefani, Gianna (ed.) et al., Geometric control theory and sub-Riemannian geometry. Proceedings of the meeting on geometric control theory and sub-Riemannian geometry, dedicated to Andrei A. Agrachev on the occasion of his 60th birthday, Cortona, Italy, May 21–25, 2012. Cham: Springer (ISBN 978-3-319-02131-7/hbk; 978-3-319-02132-4/ebook). Springer INdAM Series 5, 351-370 (2014). MSC: 93B05 35Q53 93B27 PDFBibTeX XMLCite \textit{A. Shirikyan}, Springer INdAM Ser. 5, 351--370 (2014; Zbl 1291.93046) Full Text: DOI arXiv
Bonito, Andrea; Guermond, Jean-Luc; Popov, Bojan Stability analysis of explicit entropy viscosity methods for non-linear scalar conservation equations. (English) Zbl 1291.65277 Math. Comput. 83, No. 287, 1039-1062 (2014). Reviewer: Ivan Secrieru (Chişinău) MSC: 65M12 65M60 65M20 35L65 35Q53 35L02 PDFBibTeX XMLCite \textit{A. Bonito} et al., Math. Comput. 83, No. 287, 1039--1062 (2014; Zbl 1291.65277) Full Text: DOI
Bouhamidi, A.; Hached, M.; Jbilou, K. A meshless method for the numerical computation of the solution of steady Burgers-type equations. (English) Zbl 1302.65259 Appl. Numer. Math. 74, 95-110 (2013). MSC: 65N35 65N22 65F10 PDFBibTeX XMLCite \textit{A. Bouhamidi} et al., Appl. Numer. Math. 74, 95--110 (2013; Zbl 1302.65259) Full Text: DOI
Boritchev, Alexandre Sharp estimates for turbulence in white-forced generalised Burgers equation. (English) Zbl 1283.35074 Geom. Funct. Anal. 23, No. 6, 1730-1771 (2013). MSC: 35Q35 76D05 76F02 PDFBibTeX XMLCite \textit{A. Boritchev}, Geom. Funct. Anal. 23, No. 6, 1730--1771 (2013; Zbl 1283.35074) Full Text: DOI arXiv Link
Srivastava, Vineet K.; Awasthi, Mukesh K.; Tamsir, Mohammad; Singh, Sarita An implicit finite-difference solution to one-dimensional coupled Burgers’ equations. (English) Zbl 1362.65088 Asian-Eur. J. Math. 6, No. 4, Article ID 1350058, 15 p. (2013). MSC: 65M06 65M12 76D05 76M20 PDFBibTeX XMLCite \textit{V. K. Srivastava} et al., Asian-Eur. J. Math. 6, No. 4, Article ID 1350058, 15 p. (2013; Zbl 1362.65088) Full Text: DOI
Albeverio, Sergio; Korshunova, Anastasia; Rozanova, Olga A probabilistic model associated with the pressureless gas dynamics. (English) Zbl 1286.35154 Bull. Sci. Math. 137, No. 7, 902-922 (2013). Reviewer: Alain Brillard (Riedisheim) MSC: 35L45 35Q84 35L65 35L67 35R60 60H10 60H30 76N15 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Bull. Sci. Math. 137, No. 7, 902--922 (2013; Zbl 1286.35154) Full Text: DOI arXiv
Han, Houde; Wu, Xiaonan Artificial boundary method. (English) Zbl 1277.65105 Berlin: Springer; Beijing: Tsinghua University Press (ISBN 978-3-642-35463-2/hbk; 978-7-302-30390-9/hbk; 978-3-642-35464-9/ebook). viii, 423 p. (2013). Reviewer: Andreas Kleefeld (Cottbus) MSC: 65N38 76M15 65-02 65N30 35J05 35J25 76D05 65M38 35K05 35Q41 65N15 65M15 35L05 35Q40 35Q53 65N12 65M12 65M06 PDFBibTeX XMLCite \textit{H. Han} and \textit{X. Wu}, Artificial boundary method. Berlin: Springer; Beijing: Tsinghua University Press (2013; Zbl 1277.65105) Full Text: DOI
Wacher, Abigail A comparison of the string gradient weighted moving finite element method and a parabolic moving mesh partial differential equation method for solutions of partial differential equations. (English) Zbl 1263.65097 Cent. Eur. J. Math. 11, No. 4, 642-663 (2013). MSC: 65M60 35Q53 65M15 76S05 76M10 35R37 PDFBibTeX XMLCite \textit{A. Wacher}, Cent. Eur. J. Math. 11, No. 4, 642--663 (2013; Zbl 1263.65097) Full Text: DOI Link
Liu, Yuning; Takahashi, Takéo; Tucsnak, Marius Single input controllability of a simplified fluid-structure interaction model. (English) Zbl 1270.35259 ESAIM, Control Optim. Calc. Var. 19, No. 1, 20-42 (2013). Reviewer: A. Omrane (Cayenne) MSC: 35K55 93B05 65M60 93B40 93D15 PDFBibTeX XMLCite \textit{Y. Liu} et al., ESAIM, Control Optim. Calc. Var. 19, No. 1, 20--42 (2013; Zbl 1270.35259) Full Text: DOI
Ngo-Cong, D.; Mai-Duy, N.; Karunasena, W.; Tran-Cong, T. Local moving least square – one-dimensional IRBFN technique. II: Unsteady incompressible viscous flows. (English) Zbl 1356.76064 CMES, Comput. Model. Eng. Sci. 83, No. 3, 311-352 (2012). MSC: 76D05 76M10 PDFBibTeX XMLCite \textit{D. Ngo-Cong} et al., CMES, Comput. Model. Eng. Sci. 83, No. 3, 311--352 (2012; Zbl 1356.76064) Full Text: DOI
Cruz, Miriane M.; Donisete de Campos, Marco; Romão, Estaner Claro Two linearization techniques for numerical solution of one-dimensional nonlinear convection-diffusion equation. (English) Zbl 1276.65049 Int. J. Appl. Math. 25, No. 5, 653-661 (2012). MSC: 65M06 35Q53 35Q30 76D05 76M20 PDFBibTeX XMLCite \textit{M. M. Cruz} et al., Int. J. Appl. Math. 25, No. 5, 653--661 (2012; Zbl 1276.65049)
Kagei, Yoshiyuki Asymptotic behavior of solutions to the compressible Navier-Stokes equation around a parallel flow. (English) Zbl 1282.76159 Arch. Ration. Mech. Anal. 205, No. 2, 585-650 (2012). MSC: 76N10 35Q30 PDFBibTeX XMLCite \textit{Y. Kagei}, Arch. Ration. Mech. Anal. 205, No. 2, 585--650 (2012; Zbl 1282.76159) Full Text: DOI
Li, Shishun; Huang, Zhengda Two-grid algorithms for linear and nonlinear elliptic problems based on HSS iteration method. (English) Zbl 1262.65174 J. Comput. Anal. Appl. 14, No. 5, 880-889 (2012). Reviewer: Petr Sváček (Praha) MSC: 65N30 65N55 35J60 35Q53 65N12 PDFBibTeX XMLCite \textit{S. Li} and \textit{Z. Huang}, J. Comput. Anal. Appl. 14, No. 5, 880--889 (2012; Zbl 1262.65174)
Bertini, Lorenzo; Ponsiglione, Marcello A variational approach to the stationary solutions of the Burgers equation. (English) Zbl 1257.35004 SIAM J. Math. Anal. 44, No. 2, 682-698 (2012). Reviewer: Aleksander Pankov (Baltimore) MSC: 35A15 34B40 82B24 PDFBibTeX XMLCite \textit{L. Bertini} and \textit{M. Ponsiglione}, SIAM J. Math. Anal. 44, No. 2, 682--698 (2012; Zbl 1257.35004) Full Text: DOI arXiv
Du, Qiang; Kamm, James R.; Lehoucq, R. B.; Parks, Michael L. A new approach for a nonlocal, nonlinear conservation law. (English) Zbl 1248.35121 SIAM J. Appl. Math. 72, No. 1, 464-487 (2012). Reviewer: Evgeniy Panov (Novgorod) MSC: 35L65 65M06 65M08 65M12 35R09 PDFBibTeX XMLCite \textit{Q. Du} et al., SIAM J. Appl. Math. 72, No. 1, 464--487 (2012; Zbl 1248.35121) Full Text: DOI Link
Gao, Wei; Li, Hong; Liu, Yang; Jian, Yong-Jun An oscillation-free high order TVD/CBC-based upwind scheme for convection discretization. (English) Zbl 1269.65082 Numer. Algorithms 59, No. 1, 29-50 (2012). MSC: 65M08 35L45 35Q53 PDFBibTeX XMLCite \textit{W. Gao} et al., Numer. Algorithms 59, No. 1, 29--50 (2012; Zbl 1269.65082) Full Text: DOI
Trias, F. X.; Verstappen, R. W. C. P. On the construction of discrete filters for symmetry-preserving regularization models. (English) Zbl 1245.76129 Comput. Fluids 40, No. 1, 139-148 (2011). MSC: 76M99 76D99 PDFBibTeX XMLCite \textit{F. X. Trias} and \textit{R. W. C. P. Verstappen}, Comput. Fluids 40, No. 1, 139--148 (2011; Zbl 1245.76129) Full Text: DOI Link
Zumbrun, Kevin Stability and dynamics of viscous shock waves. (English) Zbl 1258.35028 Bressan, Alberto (ed.) et al., Nonlinear conservation laws and applications. Proceedings of the summer program, IMA, Minneapolis, MN, USA, July 13–31, 2009. New York, NY: Springer (ISBN 978-1-4419-9553-7; 978-1-4419-9554-4/ebook). The IMA Volumes in Mathematics and its Applications 153, 123-167 (2011). Reviewer: Dimitar A. Kolev (Sofia) MSC: 35B35 35L67 76W05 35C07 PDFBibTeX XMLCite \textit{K. Zumbrun}, IMA Vol. Math. Appl. 153, 123--167 (2011; Zbl 1258.35028) Full Text: DOI
Ayala, Diego; Protas, Bartosz On maximum enstrophy growth in a hydrodynamic system. (English) Zbl 1469.76043 Physica D 240, No. 19, 1553-1563 (2011). MSC: 76D99 80A17 PDFBibTeX XMLCite \textit{D. Ayala} and \textit{B. Protas}, Physica D 240, No. 19, 1553--1563 (2011; Zbl 1469.76043) Full Text: DOI
Gurbatov, S. N.; Rudenko, O. V.; Saichev, A. I. Waves and structures in nonlinear nondispersive media. General theory and applications to nonlinear acoustics. (English) Zbl 1246.76001 Nonlinear Physical Science. Berlin: Springer; Beijing: Higher Education Press (ISBN 978-3-642-23616-7; 978-7-04-031695-7/hbk). xiv, 472 p. (2011). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 76-02 76Q05 76L05 76D33 00A79 PDFBibTeX XMLCite \textit{S. N. Gurbatov} et al., Waves and structures in nonlinear nondispersive media. General theory and applications to nonlinear acoustics. Berlin: Springer; Beijing: Higher Education Press (2011; Zbl 1246.76001)
Mittal, R. C.; Arora, Geeta Numerical solution of the coupled viscous Burgers equation. (English) Zbl 1221.65264 Commun. Nonlinear Sci. Numer. Simul. 16, No. 3, 1304-1313 (2011). MSC: 65M70 PDFBibTeX XMLCite \textit{R. C. Mittal} and \textit{G. Arora}, Commun. Nonlinear Sci. Numer. Simul. 16, No. 3, 1304--1313 (2011; Zbl 1221.65264) Full Text: DOI
Fogelklou, Oswald; Tucker, Warwick; Kreiss, Gunilla; Siklosi, Malin A computer-assisted proof of the existence of solutions to a boundary value problem with an integral boundary condition. (English) Zbl 1221.35233 Commun. Nonlinear Sci. Numer. Simul. 16, No. 3, 1227-1243 (2011). MSC: 35L65 35-04 35Q53 35A01 35A02 PDFBibTeX XMLCite \textit{O. Fogelklou} et al., Commun. Nonlinear Sci. Numer. Simul. 16, No. 3, 1227--1243 (2011; Zbl 1221.35233) Full Text: DOI
Fowler, Andrew Mathematical geoscience. (English) Zbl 1219.86001 Interdisciplinary Applied Mathematics 36. Berlin: Springer (ISBN 978-0-85729-699-3/hbk; 978-0-85729-721-1/ebook). xix, 883 p. (2011). Reviewer: Claudia-Veronika Meister (Darmstadt) MSC: 86-01 86A04 PDFBibTeX XMLCite \textit{A. Fowler}, Mathematical geoscience. Berlin: Springer (2011; Zbl 1219.86001) Full Text: DOI
Vukadinovic, Jesenko Global dissipativity and inertial manifolds for diffusive Burgers equations with low-wavenumber instability. (English) Zbl 1213.35253 Discrete Contin. Dyn. Syst. 29, No. 1, 327-341 (2011). MSC: 35K55 35B41 35B42 37L25 PDFBibTeX XMLCite \textit{J. Vukadinovic}, Discrete Contin. Dyn. Syst. 29, No. 1, 327--341 (2011; Zbl 1213.35253) Full Text: DOI arXiv
Jordan, Stephen A. Optimization, resolution and application of composite compact finite difference templates. (English) Zbl 1204.65104 Appl. Numer. Math. 61, No. 1, 108-130 (2011). MSC: 65M06 65M12 65M15 35L45 35Q53 PDFBibTeX XMLCite \textit{S. A. Jordan}, Appl. Numer. Math. 61, No. 1, 108--130 (2011; Zbl 1204.65104) Full Text: DOI