Gallay, Thierry; Šverák, Vladimír Arnold’s variational principle and its application to the stability of planar vortices. (English) Zbl 07818641 Anal. PDE 17, No. 2, 681-722 (2024). MSC: 35Q30 35Q31 76D05 76D17 76B03 76E30 49M41 35A15 35A01 35A02 PDFBibTeX XMLCite \textit{T. Gallay} and \textit{V. Šverák}, Anal. PDE 17, No. 2, 681--722 (2024; Zbl 07818641) Full Text: DOI arXiv
Takeguchi, Yoshiki; Yagasaki, Kazuyuki Optimal control of the SEIR epidemic model using a dynamical systems approach. (English) Zbl 07791031 Japan J. Ind. Appl. Math. 41, No. 1, 297-316 (2024). MSC: 92D30 49J15 PDFBibTeX XMLCite \textit{Y. Takeguchi} and \textit{K. Yagasaki}, Japan J. Ind. Appl. Math. 41, No. 1, 297--316 (2024; Zbl 07791031) Full Text: DOI
Zhou, Xin Mean curvature and variational theory. (English) Zbl 07822631 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 4. Sections 5–8. Berlin: European Mathematical Society (EMS). 2696-2717 (2023). MSC: 53C42 53A10 49Q05 49J35 58E12 58E20 PDFBibTeX XMLCite \textit{X. Zhou}, in: International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6--14, 2022. Volume 4. Sections 5--8. Berlin: European Mathematical Society (EMS). 2696--2717 (2023; Zbl 07822631) Full Text: DOI OA License
Boeva, Anna Vyacheslavovna; Mukhin, Ravil’ Rafkatovich Calculus of variations in the large: birth, formation, applications. (Russian. English summary) Zbl 07815812 Chebyshevskiĭ Sb. 24, No. 3(89), 263-288 (2023). MSC: 49-01 00-XX PDFBibTeX XMLCite \textit{A. V. Boeva} and \textit{R. R. Mukhin}, Chebyshevskiĭ Sb. 24, No. 3(89), 263--288 (2023; Zbl 07815812) Full Text: DOI MNR
Borza, Samuël; Klingenberg, Wilhelm Regularity and continuity properties of the sub-Riemannian exponential map. (English) Zbl 07785802 J. Dyn. Control Syst. 29, No. 4, 1385-1407 (2023). MSC: 53C17 53B15 49J15 PDFBibTeX XMLCite \textit{S. Borza} and \textit{W. Klingenberg}, J. Dyn. Control Syst. 29, No. 4, 1385--1407 (2023; Zbl 07785802) Full Text: DOI arXiv OA License
Bao, Sulifu; Hu, Zhi-Hua; Wang, Xiaohui An integrated optimization control model of combining epidemic and production-inventory models and its numerical simulations. (English) Zbl 07758931 Commun. Nonlinear Sci. Numer. Simul. 126, Article ID 107490, 17 p. (2023). MSC: 92D30 92C60 90B05 90B30 49N90 PDFBibTeX XMLCite \textit{S. Bao} et al., Commun. Nonlinear Sci. Numer. Simul. 126, Article ID 107490, 17 p. (2023; Zbl 07758931) Full Text: DOI
Khlopin, Dmitry; Gromov, Dmitry On the optimal harvesting strategy for a generalized population model. (English) Zbl 07754264 Optim. Control Appl. Methods 44, No. 4, 1917-1935 (2023). MSC: 91B76 92D25 49N90 PDFBibTeX XMLCite \textit{D. Khlopin} and \textit{D. Gromov}, Optim. Control Appl. Methods 44, No. 4, 1917--1935 (2023; Zbl 07754264) Full Text: DOI
Ketover, Daniel; Liokumovich, Yevgeny On the existence of closed \(C^{1, 1}\) curves of constant curvature. (English) Zbl 1527.53002 Calc. Var. Partial Differ. Equ. 62, No. 9, Paper No. 246, 13 p. (2023). Reviewer: Hsiao-Fan Liu (New Taipei) MSC: 53A04 49J35 53C42 PDFBibTeX XMLCite \textit{D. Ketover} and \textit{Y. Liokumovich}, Calc. Var. Partial Differ. Equ. 62, No. 9, Paper No. 246, 13 p. (2023; Zbl 1527.53002) Full Text: DOI arXiv
Bonnard, Bernard; Rouot, Jérémy; Wembe, Boris Accessibility properties of abnormal geodesics in optimal control illustrated by two case studies. (English) Zbl 1525.92084 Math. Control Relat. Fields 13, No. 4, 1618-1638 (2023). MSC: 92E20 58E10 49K15 PDFBibTeX XMLCite \textit{B. Bonnard} et al., Math. Control Relat. Fields 13, No. 4, 1618--1638 (2023; Zbl 1525.92084) Full Text: DOI arXiv
Mashtakov, Alexey P.; Sachkov, Yuri L. Extremal trajectories in a time-optimal problem on the group of motions of a plane with admissible control in a circular sector. (English. Russian original) Zbl 1527.49019 Proc. Steklov Inst. Math. 321, 200-207 (2023); translation from Tr. Mat. Inst. Steklova 321, 215-222 (2023). Reviewer: Liviu Goraş (Iaşi) MSC: 49K15 37N35 PDFBibTeX XMLCite \textit{A. P. Mashtakov} and \textit{Y. L. Sachkov}, Proc. Steklov Inst. Math. 321, 200--207 (2023; Zbl 1527.49019); translation from Tr. Mat. Inst. Steklova 321, 215--222 (2023) Full Text: DOI
Gangbo, Wilfrid; Jacobs, Matt; Kim, Inwon Well-posedness and regularity for a polyconvex energy. (English) Zbl 1522.49026 ESAIM, Control Optim. Calc. Var. 29, Paper No. 67, 40 p. (2023). Reviewer: Savin Treanţă (Bucureşti) MSC: 49K40 49N60 35Q30 49K35 49N15 76D05 PDFBibTeX XMLCite \textit{W. Gangbo} et al., ESAIM, Control Optim. Calc. Var. 29, Paper No. 67, 40 p. (2023; Zbl 1522.49026) Full Text: DOI arXiv
Bonnard, Bernard; Cots, Olivier; Wembe, Boris Zermelo navigation problems on surfaces of revolution and geometric optimal control. (English) Zbl 07734432 ESAIM, Control Optim. Calc. Var. 29, Paper No. 60, 34 p. (2023). MSC: 53A05 49K15 53C60 70H05 PDFBibTeX XMLCite \textit{B. Bonnard} et al., ESAIM, Control Optim. Calc. Var. 29, Paper No. 60, 34 p. (2023; Zbl 07734432) Full Text: DOI
Rahmoune, Abita; Benyattou, Benabderrahmane Asymptotic behavior for a viscoelastic problem with acoustic boundary conditions and variable-exponent nonlinearities. (English) Zbl 1521.35122 Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 30, No. 3, 149-202 (2023). MSC: 35L72 35L20 35B40 49Q15 35Q74 PDFBibTeX XMLCite \textit{A. Rahmoune} and \textit{B. Benyattou}, Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 30, No. 3, 149--202 (2023; Zbl 1521.35122) Full Text: Link Link
Huang, Qiao; Zambrini, Jean-Claude From second-order differential geometry to stochastic geometric mechanics. (English) Zbl 1519.70025 J. Nonlinear Sci. 33, No. 4, Paper No. 67, 127 p. (2023). MSC: 70L10 70G45 70H20 49L99 PDFBibTeX XMLCite \textit{Q. Huang} and \textit{J.-C. Zambrini}, J. Nonlinear Sci. 33, No. 4, Paper No. 67, 127 p. (2023; Zbl 1519.70025) Full Text: DOI arXiv
Jouan, Philippe; Serres, Ulysse Generalized solutions to degenerate dynamical systems. (English) Zbl 1516.34044 J. Math. Phys. 64, No. 6, Article ID 062703, 16 p. (2023). MSC: 34A60 49J21 PDFBibTeX XMLCite \textit{P. Jouan} and \textit{U. Serres}, J. Math. Phys. 64, No. 6, Article ID 062703, 16 p. (2023; Zbl 1516.34044) Full Text: DOI
Pass, Brendan; Vargas-Jiménez, Adolfo Monge solutions and uniqueness in multi-marginal optimal transport via graph theory. (English) Zbl 1517.49029 Adv. Math. 428, Article ID 109101, 43 p. (2023). MSC: 49Q22 49Q20 90C48 PDFBibTeX XMLCite \textit{B. Pass} and \textit{A. Vargas-Jiménez}, Adv. Math. 428, Article ID 109101, 43 p. (2023; Zbl 1517.49029) Full Text: DOI arXiv
Peng, Haijun; Shi, Boyang; Song, Jiurun; Wang, Xinwei A symplectic method for trajectory planning of general tractor-trailer systems. (English) Zbl 1510.70023 Appl. Math. Modelling 114, 205-229 (2023). MSC: 70E60 49K15 49M05 49M25 90C30 PDFBibTeX XMLCite \textit{H. Peng} et al., Appl. Math. Modelling 114, 205--229 (2023; Zbl 1510.70023) Full Text: DOI
Sachkov, Yu. L.; Sachkova, E. F. Sub-Lorentzian problem on the Heisenberg group. (English. Russian original) Zbl 1514.49015 Math. Notes 113, No. 1, 159-162 (2023); translation from Mat. Zametki 113, No. 1, 154-157 (2023). Reviewer: Giorgio Saracco (Trento) MSC: 49K27 PDFBibTeX XMLCite \textit{Yu. L. Sachkov} and \textit{E. F. Sachkova}, Math. Notes 113, No. 1, 159--162 (2023; Zbl 1514.49015); translation from Mat. Zametki 113, No. 1, 154--157 (2023) Full Text: DOI
Boscaggin, Alberto; Dambrosio, Walter; Muñoz-Hernández, Eduardo A Maupertuis-type principle in relativistic mechanics and applications. (English) Zbl 1514.37084 Calc. Var. Partial Differ. Equ. 62, No. 3, Paper No. 95, 29 p. (2023). Reviewer: Zdzisław Dzedzej (Gdańsk) MSC: 37J46 37N05 49S05 70H40 70G75 PDFBibTeX XMLCite \textit{A. Boscaggin} et al., Calc. Var. Partial Differ. Equ. 62, No. 3, Paper No. 95, 29 p. (2023; Zbl 1514.37084) Full Text: DOI arXiv
de León, Manuel; Lainz, Manuel; Muñoz-Lecanda, Miguel C. Optimal control, contact dynamics and Herglotz variational problem. (English) Zbl 1515.37108 J. Nonlinear Sci. 33, No. 1, Paper No. 9, 46 p. (2023). MSC: 37N35 37J55 49S05 70Q05 34H05 49K15 49K20 93C15 PDFBibTeX XMLCite \textit{M. de León} et al., J. Nonlinear Sci. 33, No. 1, Paper No. 9, 46 p. (2023; Zbl 1515.37108) Full Text: DOI arXiv
Golubev, Yu. F. Controlling the amplitude of oscillations of mechanical systems. (English. Russian original) Zbl 1519.49037 J. Comput. Syst. Sci. Int. 61, No. 4, 496-504 (2022); translation from Izv. Ross. Akad. Nauk, Teor. Sist. Upr. 2022, No. 4, 22-30 (2022). Reviewer: Jérôme Lohéac (Vandœuvre-lès-Nancy) MSC: 49S05 70Q05 49K15 PDFBibTeX XMLCite \textit{Yu. F. Golubev}, J. Comput. Syst. Sci. Int. 61, No. 4, 496--504 (2022; Zbl 1519.49037); translation from Izv. Ross. Akad. Nauk, Teor. Sist. Upr. 2022, No. 4, 22--30 (2022) Full Text: DOI
Lebedev, Pavel D.; Uspenskii, Alexander A. Combined algorithms for constructing a solution to the time-optimal problem in three-dimensional space based on the selection of extreme points of the scattering surface. (English) Zbl 1514.49012 Ural Math. J. 8, No. 2, 115-126 (2022). MSC: 49K10 PDFBibTeX XMLCite \textit{P. D. Lebedev} and \textit{A. A. Uspenskii}, Ural Math. J. 8, No. 2, 115--126 (2022; Zbl 1514.49012) Full Text: DOI MNR
Dolce, Michele; Drivas, Theodore D. On maximally mixed equilibria of two-dimensional perfect fluids. (English) Zbl 1523.35243 Arch. Ration. Mech. Anal. 246, No. 2-3, 735-770 (2022). MSC: 35Q31 76B03 35A01 35A02 35B65 49M41 PDFBibTeX XMLCite \textit{M. Dolce} and \textit{T. D. Drivas}, Arch. Ration. Mech. Anal. 246, No. 2--3, 735--770 (2022; Zbl 1523.35243) Full Text: DOI arXiv
Lebedev, Pavel D.; Uspenskii, Alexander A. Differential and algebraical relations in singular sets construction for a one class of time-optimal control problems. (English) Zbl 1504.49009 Smirnov, Nikolay (ed.) et al., Stability and control processes. Proceedings of the 4th international conference, SCP 2020, dedicated to the memory of Professor Vladimir Zubov, October 5–10, 2020. Cham: Springer. Lect. Notes Control Inf. Sci. – Proc., 427-435 (2022). MSC: 49J35 35F21 PDFBibTeX XMLCite \textit{P. D. Lebedev} and \textit{A. A. Uspenskii}, in: Stability and control processes. Proceedings of the 4th international conference, SCP 2020, dedicated to the memory of Professor Vladimir Zubov, October 5--10, 2020. Cham: Springer. 427--435 (2022; Zbl 1504.49009) Full Text: DOI
Vladimirov, Igor G.; Petersen, Ian R. Direct coupling coherent quantum observers with discounted mean square performance criteria and penalized back-action. (English) Zbl 1513.81076 Math. Control Signals Syst. 34, No. 3, 607-646 (2022). MSC: 81Q93 93E11 81P16 65K10 49J40 49M05 93B25 70G65 17B45 81P45 PDFBibTeX XMLCite \textit{I. G. Vladimirov} and \textit{I. R. Petersen}, Math. Control Signals Syst. 34, No. 3, 607--646 (2022; Zbl 1513.81076) Full Text: DOI arXiv
Mashtakov, Alexey P. Time minimization problem on the group of motions of a plane with admissible control in a half-disc. (English. Russian original) Zbl 1492.49028 Sb. Math. 213, No. 4, 534-555 (2022); translation from Mat. Sb. 213, No. 4, 100-122 (2022). MSC: 49K15 94A08 PDFBibTeX XMLCite \textit{A. P. Mashtakov}, Sb. Math. 213, No. 4, 534--555 (2022; Zbl 1492.49028); translation from Mat. Sb. 213, No. 4, 100--122 (2022) Full Text: DOI arXiv
Shi, Boyang; Peng, Haijun; Wang, Xinwei; Zhong, Wanxie A symplectic direct method for motion-driven optimal control of mechanical systems. (English) Zbl 1490.49035 Commun. Nonlinear Sci. Numer. Simul. 111, Article ID 106501, 25 p. (2022). MSC: 49S05 70G75 70G60 49J05 PDFBibTeX XMLCite \textit{B. Shi} et al., Commun. Nonlinear Sci. Numer. Simul. 111, Article ID 106501, 25 p. (2022; Zbl 1490.49035) Full Text: DOI
Yagasaki, Kazuyuki Optimal control of the SIR epidemic model based on dynamical systems theory. (English) Zbl 1486.92299 Discrete Contin. Dyn. Syst., Ser. B 27, No. 5, 2501-2513 (2022). MSC: 92D30 49L12 49J15 PDFBibTeX XMLCite \textit{K. Yagasaki}, Discrete Contin. Dyn. Syst., Ser. B 27, No. 5, 2501--2513 (2022; Zbl 1486.92299) Full Text: DOI
Albers, Peter; Tabachnikov, Serge Symplectically convex and symplectically star-shaped curves: a variational problem. (English) Zbl 1486.49068 J. Fixed Point Theory Appl. 24, No. 2, Paper No. 27, 24 p. (2022). MSC: 49Q99 53D99 53A15 52A30 52C25 53A04 52A40 PDFBibTeX XMLCite \textit{P. Albers} and \textit{S. Tabachnikov}, J. Fixed Point Theory Appl. 24, No. 2, Paper No. 27, 24 p. (2022; Zbl 1486.49068) Full Text: DOI arXiv
Bonnard, B.; Cots, O.; Gergaud, J.; Wembe, B. Abnormal geodesics in 2D-Zermelo navigation problems in the case of revolution and the Fan shape of the small time balls. (English) Zbl 1487.49052 Syst. Control Lett. 161, Article ID 105140, 8 p. (2022). MSC: 49Q15 49S05 PDFBibTeX XMLCite \textit{B. Bonnard} et al., Syst. Control Lett. 161, Article ID 105140, 8 p. (2022; Zbl 1487.49052) Full Text: DOI arXiv HAL
Nguyen, Du Curvatures of Stiefel manifolds with deformation metrics. (English) Zbl 1506.22014 J. Lie Theory 32, No. 2, 563-600 (2022). Reviewer: Gabriela Paola Ovando (Rosario) MSC: 22E70 53C30 17B81 49Q12 PDFBibTeX XMLCite \textit{D. Nguyen}, J. Lie Theory 32, No. 2, 563--600 (2022; Zbl 1506.22014) Full Text: arXiv Link
Vorotnikov, Dmitry Partial differential equations with quadratic nonlinearities viewed as matrix-valued optimal ballistic transport problems. (English) Zbl 1508.35051 Arch. Ration. Mech. Anal. 243, No. 3, 1653-1698 (2022). MSC: 35Q31 35Q53 76W05 76B03 76A10 35B65 35D30 35A15 49Q22 49Q20 58B20 PDFBibTeX XMLCite \textit{D. Vorotnikov}, Arch. Ration. Mech. Anal. 243, No. 3, 1653--1698 (2022; Zbl 1508.35051) Full Text: DOI arXiv
Wang, Kaizhi; Wang, Lin; Yan, Jun Aubry-Mather theory for contact Hamiltonian systems. II. (English) Zbl 1512.37077 Discrete Contin. Dyn. Syst. 42, No. 2, 555-595 (2022). MSC: 37J55 37J40 35F21 49L25 70H20 PDFBibTeX XMLCite \textit{K. Wang} et al., Discrete Contin. Dyn. Syst. 42, No. 2, 555--595 (2022; Zbl 1512.37077) Full Text: DOI arXiv
Agrachev, Andrei; Beschastnyi, Ivan Jacobi fields in optimal control: Morse and Maslov indices. (English) Zbl 1476.58011 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 214, Article ID 112608, 47 p. (2022). Reviewer: Dumitru Motreanu (Perpignan) MSC: 58E05 58J30 49K15 53D12 PDFBibTeX XMLCite \textit{A. Agrachev} and \textit{I. Beschastnyi}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 214, Article ID 112608, 47 p. (2022; Zbl 1476.58011) Full Text: DOI arXiv
Benamou, Jean-David Optimal transportation, modelling and numerical simulation. (English) Zbl 1519.65013 Acta Numerica 30, 249-325 (2021). MSC: 65K10 49Q22 65D18 PDFBibTeX XMLCite \textit{J.-D. Benamou}, Acta Numerica 30, 249--325 (2021; Zbl 1519.65013) Full Text: DOI
Evtushenko, Yuri; Malkova, Vlasta; Tret’yakov, Alexey Exit from singularity. New optimization methods and the \(p\)-regularity theory applications. (English) Zbl 1527.49014 Olenev, Nicholas N. (ed.) et al., Optimization and applications. 12th international conference, OPTIMA 2021, Petrovac, Montenegro, September 27 – October 1, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13078, 3-19 (2021). MSC: 49J53 47J07 49J27 49M15 PDFBibTeX XMLCite \textit{Y. Evtushenko} et al., Lect. Notes Comput. Sci. 13078, 3--19 (2021; Zbl 1527.49014) Full Text: DOI
Podobryaev, A. V. Construction of Maxwell points in left-invariant optimal control problems. (English. Russian original) Zbl 1481.49023 Proc. Steklov Inst. Math. 315, 190-197 (2021); translation from Tr. Mat. Inst. Steklova 315, 202-210 (2021). MSC: 49K15 53C17 PDFBibTeX XMLCite \textit{A. V. Podobryaev}, Proc. Steklov Inst. Math. 315, 190--197 (2021; Zbl 1481.49023); translation from Tr. Mat. Inst. Steklova 315, 202--210 (2021) Full Text: DOI
Yan, Shusen; Yu, Weilin Planar vortices in a bounded domain with a hole. (English) Zbl 1478.49004 Electron. Res. Arch. 29, No. 6, 4229-4241 (2021). MSC: 49J20 49S05 76B47 35J61 PDFBibTeX XMLCite \textit{S. Yan} and \textit{W. Yu}, Electron. Res. Arch. 29, No. 6, 4229--4241 (2021; Zbl 1478.49004) Full Text: DOI
Villanueva, Mario Eduardo; Jones, Colin N.; Houska, Boris Towards global optimal control via Koopman lifts. (English) Zbl 1478.49015 Automatica 132, Article ID 109610, 11 p. (2021). MSC: 49K15 49N35 93B52 93B28 53D05 PDFBibTeX XMLCite \textit{M. E. Villanueva} et al., Automatica 132, Article ID 109610, 11 p. (2021; Zbl 1478.49015) Full Text: DOI arXiv
Cui, Jianbo; Liu, Shu; Zhou, Haomin What is a stochastic Hamiltonian process on finite graph? An optimal transport answer. (English) Zbl 1477.35293 J. Differ. Equations 305, 428-457 (2021). MSC: 35R02 60J20 53C22 49Q22 PDFBibTeX XMLCite \textit{J. Cui} et al., J. Differ. Equations 305, 428--457 (2021; Zbl 1477.35293) Full Text: DOI arXiv
Bartkiewicz, Monika; Majewski, Marek A variational approach to the problem of continuous dependence of solutions to second order periodic system. (English) Zbl 1480.49003 Taiwanese J. Math. 25, No. 3, 627-646 (2021). Reviewer: Igor Bock (Bratislava) MSC: 49J15 49J53 PDFBibTeX XMLCite \textit{M. Bartkiewicz} and \textit{M. Majewski}, Taiwanese J. Math. 25, No. 3, 627--646 (2021; Zbl 1480.49003) Full Text: DOI
Pass, Brendan W.; Vargas-Jiménez, Adolfo Multi-marginal optimal transportation problem for cyclic costs. (English) Zbl 1470.49076 SIAM J. Math. Anal. 53, No. 4, 4386-4400 (2021). MSC: 49Q22 PDFBibTeX XMLCite \textit{B. W. Pass} and \textit{A. Vargas-Jiménez}, SIAM J. Math. Anal. 53, No. 4, 4386--4400 (2021; Zbl 1470.49076) Full Text: DOI arXiv
Cannarsa, Piermarco; Cheng, Wei Singularities of solutions of Hamilton-Jacobi equations. (English) Zbl 1470.35135 Milan J. Math. 89, No. 1, 187-215 (2021). MSC: 35F21 35A21 35D40 49L25 37J51 PDFBibTeX XMLCite \textit{P. Cannarsa} and \textit{W. Cheng}, Milan J. Math. 89, No. 1, 187--215 (2021; Zbl 1470.35135) Full Text: DOI arXiv
Calin, Ovidiu Optimal training for adversarial games. (English) Zbl 1473.35583 Ann. Math. Artif. Intell. 89, No. 5-6, 575-594 (2021). Reviewer: Solden Stoll (Seattle) MSC: 35Q91 91A05 91A26 35Q93 49J35 37N40 PDFBibTeX XMLCite \textit{O. Calin}, Ann. Math. Artif. Intell. 89, No. 5--6, 575--594 (2021; Zbl 1473.35583) Full Text: DOI
Kozhasov, Khazhgali On minimality of determinantal varieties. (English) Zbl 1467.14136 Linear Algebra Appl. 626, 56-78 (2021). MSC: 14P05 14M12 15A03 15A15 15A18 49Q05 53A10 PDFBibTeX XMLCite \textit{K. Kozhasov}, Linear Algebra Appl. 626, 56--78 (2021; Zbl 1467.14136) Full Text: DOI arXiv
Bonnard, Bernard; Cots, Olivier; Wembe, Boris A Zermelo navigation problem with a vortex singularity. (English) Zbl 1467.49013 ESAIM, Control Optim. Calc. Var. 27, Suppl., Paper No. S10, 37 p. (2021). MSC: 49K15 49S05 76M30 PDFBibTeX XMLCite \textit{B. Bonnard} et al., ESAIM, Control Optim. Calc. Var. 27, Paper No. S10, 37 p. (2021; Zbl 1467.49013) Full Text: DOI arXiv HAL
Effland, Alexander; Kobler, Erich; Pock, Thomas; Rajković, Marko; Rumpf, Martin Image morphing in deep feature spaces: theory and applications. (English) Zbl 1524.65095 J. Math. Imaging Vis. 63, No. 2, 309-327 (2021). MSC: 65D18 37L65 49M25 53C22 65L20 PDFBibTeX XMLCite \textit{A. Effland} et al., J. Math. Imaging Vis. 63, No. 2, 309--327 (2021; Zbl 1524.65095) Full Text: DOI arXiv
Zhang, Peng; Mang, Andreas; He, Jiwen; Azencott, Robert; El-Tallawi, K. Carlos; Zoghbi, William A. Diffeomorphic shape matching by operator splitting in 3D cardiology imaging. (English) Zbl 1471.65061 J. Optim. Theory Appl. 188, No. 1, 143-168 (2021). MSC: 65K10 65D18 49M29 34H05 92C55 PDFBibTeX XMLCite \textit{P. Zhang} et al., J. Optim. Theory Appl. 188, No. 1, 143--168 (2021; Zbl 1471.65061) Full Text: DOI arXiv
Jiménez, Fernando; Ober-Blöbaum, Sina Fractional damping through restricted calculus of variations. (English) Zbl 1477.70031 J. Nonlinear Sci. 31, No. 2, Paper No. 46, 43 p. (2021). MSC: 70H30 70H25 26A33 37J46 49K21 49S05 65P10 PDFBibTeX XMLCite \textit{F. Jiménez} and \textit{S. Ober-Blöbaum}, J. Nonlinear Sci. 31, No. 2, Paper No. 46, 43 p. (2021; Zbl 1477.70031) Full Text: DOI arXiv
Westernacher-Schneider, John Ryan; Markakis, Charalampos; Tsao, Bing Jyun Hamilton-Jacobi hydrodynamics of pulsating relativistic stars. (English) Zbl 1478.83045 Classical Quantum Gravity 37, No. 15, Article ID 155005, 23 p. (2020). MSC: 83C27 83C55 70H20 85A15 65F22 49S05 49J20 PDFBibTeX XMLCite \textit{J. R. Westernacher-Schneider} et al., Classical Quantum Gravity 37, No. 15, Article ID 155005, 23 p. (2020; Zbl 1478.83045) Full Text: DOI arXiv
Akulenko, L. D.; Sirotin, A. N. Particular extremals in the optimal control problems of the reorientation of an asymmetric rotating body. (English. Russian original) Zbl 1465.70075 Mech. Solids 55, No. 8, 1142-1156 (2020); translation from Prikl. Mat. Mekh. 84, No. 2, 158-174 (2020). MSC: 70Q05 49N90 PDFBibTeX XMLCite \textit{L. D. Akulenko} and \textit{A. N. Sirotin}, Mech. Solids 55, No. 8, 1142--1156 (2020; Zbl 1465.70075); translation from Prikl. Mat. Mekh. 84, No. 2, 158--174 (2020) Full Text: DOI
Zhang, Li; Balasuriya, Sanjeeva Controlling trajectories globally via spatiotemporal finite-time optimal control. (English) Zbl 1458.49003 SIAM J. Appl. Dyn. Syst. 19, No. 3, 1609-1632 (2020). MSC: 49J15 34H10 PDFBibTeX XMLCite \textit{L. Zhang} and \textit{S. Balasuriya}, SIAM J. Appl. Dyn. Syst. 19, No. 3, 1609--1632 (2020; Zbl 1458.49003) Full Text: DOI
Arnaudon, Marc; Cruzeiro, Ana Bela; Léonard, Christian; Zambrini, Jean-Claude An entropic interpolation problem for incompressible viscous fluids. (English. French summary) Zbl 1458.76024 Ann. Inst. Henri Poincaré, Probab. Stat. 56, No. 3, 2211-2235 (2020). MSC: 76D03 76M30 49Q20 49S05 35Q35 PDFBibTeX XMLCite \textit{M. Arnaudon} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 56, No. 3, 2211--2235 (2020; Zbl 1458.76024) Full Text: DOI arXiv Euclid
Anerot, Baptiste; Cresson, Jacky; Hariz Belgacem, Khaled; Pierret, Frederic Noether’s-type theorems on time scales. (English) Zbl 1466.49019 J. Math. Phys. 61, No. 11, 113502, 31 p. (2020). MSC: 49K05 26E70 34N05 70S10 PDFBibTeX XMLCite \textit{B. Anerot} et al., J. Math. Phys. 61, No. 11, 113502, 31 p. (2020; Zbl 1466.49019) Full Text: DOI HAL
Pavelka, Michal; Klika, Václav; Grmela, Miroslav Generalization of the dynamical lack-of-fit reduction from GENERIC to GENERIC. (English) Zbl 1453.82040 J. Stat. Phys. 181, No. 1, 19-52 (2020). MSC: 82C05 82C35 49L25 70H20 35F21 PDFBibTeX XMLCite \textit{M. Pavelka} et al., J. Stat. Phys. 181, No. 1, 19--52 (2020; Zbl 1453.82040) Full Text: DOI arXiv
Agrachev, Andrei; Beschastnyi, Ivan Jacobi fields in optimal control: one-dimensional variations. (English) Zbl 1451.49003 J. Dyn. Control Syst. 26, No. 4, 685-732 (2020). Reviewer: A. Omrane (Cayenne) MSC: 49J15 93C73 PDFBibTeX XMLCite \textit{A. Agrachev} and \textit{I. Beschastnyi}, J. Dyn. Control Syst. 26, No. 4, 685--732 (2020; Zbl 1451.49003) Full Text: DOI arXiv
Brenier, Yann; Vorotnikov, Dmitry On optimal transport of matrix-valued measures. (English) Zbl 1460.49036 SIAM J. Math. Anal. 52, No. 3, 2849-2873 (2020). Reviewer: Georgios Psaradakis (Mannheim) MSC: 49Q22 28A33 47A56 49Q20 51F99 58B20 PDFBibTeX XMLCite \textit{Y. Brenier} and \textit{D. Vorotnikov}, SIAM J. Math. Anal. 52, No. 3, 2849--2873 (2020; Zbl 1460.49036) Full Text: DOI arXiv
Veerman, J. J. P. Navigating around convex sets. (English) Zbl 1441.52003 Am. Math. Mon. 127, No. 6, 504-517 (2020). Reviewer: George Stoica (Saint John) MSC: 52A15 49J52 PDFBibTeX XMLCite \textit{J. J. P. Veerman}, Am. Math. Mon. 127, No. 6, 504--517 (2020; Zbl 1441.52003) Full Text: DOI arXiv
Gay-Balmaz, François; Holm, Darryl D. Predicting uncertainty in geometric fluid mechanics. (English) Zbl 1439.49083 Discrete Contin. Dyn. Syst., Ser. S 13, No. 4, 1229-1242 (2020). Reviewer: Alain Brillard (Riedisheim) MSC: 49S05 70H25 76M30 49J55 PDFBibTeX XMLCite \textit{F. Gay-Balmaz} and \textit{D. D. Holm}, Discrete Contin. Dyn. Syst., Ser. S 13, No. 4, 1229--1242 (2020; Zbl 1439.49083) Full Text: DOI arXiv
Effland, Alexander; Neumayer, Sebastian; Rumpf, Martin Convergence of the time discrete metamorphosis model on Hadamard manifolds. (English) Zbl 07196114 SIAM J. Imaging Sci. 13, No. 2, 557-588 (2020). MSC: 65D18 37L65 49M25 53C22 65L20 PDFBibTeX XMLCite \textit{A. Effland} et al., SIAM J. Imaging Sci. 13, No. 2, 557--588 (2020; Zbl 07196114) Full Text: DOI arXiv
Birtea, Petre; Caşu, Ioan; Comănescu, Dan Optimization on the real symplectic group. (English) Zbl 1434.49026 Monatsh. Math. 191, No. 3, 465-485 (2020). MSC: 49M15 15A99 53C30 PDFBibTeX XMLCite \textit{P. Birtea} et al., Monatsh. Math. 191, No. 3, 465--485 (2020; Zbl 1434.49026) Full Text: DOI arXiv
Baradat, Aymeric; Monsaingeon, Léonard Small noise limit and convexity for generalized incompressible flows, Schrödinger problems, and optimal transport. (English) Zbl 1451.35126 Arch. Ration. Mech. Anal. 235, No. 2, 1357-1403 (2020). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q35 49Q20 35Q55 49J45 76B99 76D99 60J65 PDFBibTeX XMLCite \textit{A. Baradat} and \textit{L. Monsaingeon}, Arch. Ration. Mech. Anal. 235, No. 2, 1357--1403 (2020; Zbl 1451.35126) Full Text: DOI arXiv
Steinerberger, Stefan A metric Sturm-Liouville theory in two dimensions. (English) Zbl 1431.28004 Calc. Var. Partial Differ. Equ. 59, No. 1, Paper No. 12, 14 p. (2020). Reviewer: Guy Katriel (Haifa) MSC: 28A75 34B24 35B05 35P20 49Q20 35J15 34C10 PDFBibTeX XMLCite \textit{S. Steinerberger}, Calc. Var. Partial Differ. Equ. 59, No. 1, Paper No. 12, 14 p. (2020; Zbl 1431.28004) Full Text: DOI arXiv
Lebedev, P. D.; Uspenskiĭ, A. A. Algorithms for solving the velocity problem with circular vectogram in inhomogeneous medium. (Russian. English summary) Zbl 1470.49046 Chelyabinskiĭ Fiz.-Mat. Zh. 4, No. 4, 387-397 (2019). MSC: 49K15 35F21 PDFBibTeX XMLCite \textit{P. D. Lebedev} and \textit{A. A. Uspenskiĭ}, Chelyabinskiĭ Fiz.-Mat. Zh. 4, No. 4, 387--397 (2019; Zbl 1470.49046) Full Text: DOI MNR
Lebedev, Pavel Dmitrievich; Uspenskiĭ, Aleksandr Aleksandrovich Construction of a solution to a velocity problem in the case of violation of the smoothness of the curvature of the target set boundary. (Russian. English summary) Zbl 1452.49009 Izv. Inst. Mat. Inform., Udmurt. Gos. Univ. 53, 98-114 (2019). MSC: 49J52 PDFBibTeX XMLCite \textit{P. D. Lebedev} and \textit{A. A. Uspenskiĭ}, Izv. Inst. Mat. Inform., Udmurt. Gos. Univ. 53, 98--114 (2019; Zbl 1452.49009) Full Text: DOI MNR
Ardentov, Andreĭ A. Hidden Maxwell stratum in Euler’s elastic problem. (English) Zbl 1447.93137 Russ. J. Nonlinear Dyn. 15, No. 4, 409-414 (2019). MSC: 93C15 49J15 PDFBibTeX XMLCite \textit{A. A. Ardentov}, Russ. J. Nonlinear Dyn. 15, No. 4, 409--414 (2019; Zbl 1447.93137) Full Text: DOI MNR
Tahraoui, Rabah; Vialard, François-Xavier Minimizing acceleration on the group of diffeomorphisms and its relaxation. (English) Zbl 1439.49024 ESAIM, Control Optim. Calc. Var. 25, Paper No. 70, 45 p. (2019). Reviewer: Stepan Agop Tersian (Rousse) MSC: 49J45 PDFBibTeX XMLCite \textit{R. Tahraoui} and \textit{F.-X. Vialard}, ESAIM, Control Optim. Calc. Var. 25, Paper No. 70, 45 p. (2019; Zbl 1439.49024) Full Text: DOI arXiv
Hou, Ting; Liu, Yueying; Deng, Feiqi Finite horizon \(H_2 / H_\infty\) control for SDEs with infinite Markovian jumps. (English) Zbl 1434.93017 Nonlinear Anal., Hybrid Syst. 34, 108-120 (2019). MSC: 93B36 93C15 93E03 49N10 60H10 PDFBibTeX XMLCite \textit{T. Hou} et al., Nonlinear Anal., Hybrid Syst. 34, 108--120 (2019; Zbl 1434.93017) Full Text: DOI
Bravetti, Alessandro; Padilla, Pablo Thermodynamics and evolutionary biology through optimal control. (English) Zbl 1430.49052 Automatica 106, 201-206 (2019). MSC: 49S05 49K15 80M30 92D15 PDFBibTeX XMLCite \textit{A. Bravetti} and \textit{P. Padilla}, Automatica 106, 201--206 (2019; Zbl 1430.49052) Full Text: DOI arXiv
Cheng, Chong-Qing; Xue, Jinxin Variational approach to Arnold diffusion. (English) Zbl 1427.37049 Sci. China, Math. 62, No. 11, 2103-2130 (2019). MSC: 37J40 37J51 49L25 PDFBibTeX XMLCite \textit{C.-Q. Cheng} and \textit{J. Xue}, Sci. China, Math. 62, No. 11, 2103--2130 (2019; Zbl 1427.37049) Full Text: DOI
Jóźwikowski, Michał; Respondek, Witold A comparison of vakonomic and nonholonomic dynamics with applications to non-invariant Chaplygin systems. (English) Zbl 1426.49050 J. Geom. Mech. 11, No. 1, 77-122 (2019). MSC: 49S05 70H45 70H30 70G45 PDFBibTeX XMLCite \textit{M. Jóźwikowski} and \textit{W. Respondek}, J. Geom. Mech. 11, No. 1, 77--122 (2019; Zbl 1426.49050) Full Text: DOI arXiv
El Asri, Brahim The value of a minimax problem involving impulse control. (English) Zbl 1428.49009 J. Dyn. Games 6, No. 1, 1-17 (2019). Reviewer: Hector Jasso (México D. F.) MSC: 49J35 49N25 91G80 49N70 35R45 49L25 PDFBibTeX XMLCite \textit{B. El Asri}, J. Dyn. Games 6, No. 1, 1--17 (2019; Zbl 1428.49009) Full Text: DOI
Machado, Luís; Abrunheiro, Lígia; Martins, Natália Variational and optimal control approaches for the second-order Herglotz problem on spheres. (English) Zbl 1423.49019 J. Optim. Theory Appl. 182, No. 3, 965-983 (2019). Reviewer: Hector O. Fattorini (Los Angeles) MSC: 49K15 53B21 34H05 PDFBibTeX XMLCite \textit{L. Machado} et al., J. Optim. Theory Appl. 182, No. 3, 965--983 (2019; Zbl 1423.49019) Full Text: DOI arXiv
Cao, Daomin; Wang, Guodong Steady vortex patches with opposite rotation directions in a planar ideal fluid. (English) Zbl 1450.76003 Calc. Var. Partial Differ. Equ. 58, No. 2, Paper No. 75, 17 p. (2019). Reviewer: Hakan Adıgüzel (Serdivan) MSC: 76B03 76B47 76M30 35Q31 49J40 PDFBibTeX XMLCite \textit{D. Cao} and \textit{G. Wang}, Calc. Var. Partial Differ. Equ. 58, No. 2, Paper No. 75, 17 p. (2019; Zbl 1450.76003) Full Text: DOI arXiv
Díaz, Viviana Alejandra; Martín de Diego, David Generalized variational calculus for continuous and discrete mechanical systems. (English) Zbl 1452.70012 J. Geom. Mech. 10, No. 4, 373-410 (2018). Reviewer: Mario Jorge Dias Carneiro (Belo Horizonte) MSC: 70G75 37J60 49N90 PDFBibTeX XMLCite \textit{V. A. Díaz} and \textit{D. Martín de Diego}, J. Geom. Mech. 10, No. 4, 373--410 (2018; Zbl 1452.70012) Full Text: DOI arXiv
Jing, Wenjia; Souganidis, Panagiotis E.; Tran, Hung V. Large time average of reachable sets and applications to homogenization of interfaces moving with oscillatory spatio-temporal velocity. (English) Zbl 1409.35025 Discrete Contin. Dyn. Syst., Ser. S 11, No. 5, 915-939 (2018). Reviewer: Adrian Muntean (Karlstad) MSC: 35B27 70H20 49L25 35F21 35D40 PDFBibTeX XMLCite \textit{W. Jing} et al., Discrete Contin. Dyn. Syst., Ser. S 11, No. 5, 915--939 (2018; Zbl 1409.35025) Full Text: DOI arXiv
Duncan, Tyrone E.; Pasik-Duncan, Bozenna Solvable stochastic differential games in rank one compact symmetric spaces. (English) Zbl 1404.91021 Int. J. Control 91, No. 11, 2445-2450 (2018). MSC: 91A15 91A23 91A70 53C35 49N70 PDFBibTeX XMLCite \textit{T. E. Duncan} and \textit{B. Pasik-Duncan}, Int. J. Control 91, No. 11, 2445--2450 (2018; Zbl 1404.91021) Full Text: DOI
Ruan, Ning; Gao, David Yang On modeling and complete solutions to general fixpoint problems in multi-scale systems with applications. (English) Zbl 1462.90099 Fixed Point Theory Appl. 2018, Paper No. 23, 19 p. (2018). MSC: 90C26 49N15 47H10 47H14 55M05 65K10 PDFBibTeX XMLCite \textit{N. Ruan} and \textit{D. Y. Gao}, Fixed Point Theory Appl. 2018, Paper No. 23, 19 p. (2018; Zbl 1462.90099) Full Text: DOI arXiv
de León, Manuel; Sardón, Cristina Geometry of the discrete Hamilton-Jacobi equation: applications in optimal control. (English) Zbl 1398.70040 Rep. Math. Phys. 81, No. 1, 39-63 (2018). MSC: 70H20 35F21 49L20 39A12 PDFBibTeX XMLCite \textit{M. de León} and \textit{C. Sardón}, Rep. Math. Phys. 81, No. 1, 39--63 (2018; Zbl 1398.70040) Full Text: DOI arXiv
Effland, Alexander; Rumpf, Martin; Schäfer, Florian Image extrapolation for the time discrete metamorphosis model: existence and applications. (English) Zbl 1397.65032 SIAM J. Imaging Sci. 11, No. 1, 834-862 (2018). MSC: 65D18 37L65 49M25 65L20 PDFBibTeX XMLCite \textit{A. Effland} et al., SIAM J. Imaging Sci. 11, No. 1, 834--862 (2018; Zbl 1397.65032) Full Text: DOI arXiv
Orieux, M.; Caillau, J.-B.; Combot, T.; Féjoz, J. Non-integrability of the minimum-time Kepler problem. (English) Zbl 1407.70025 J. Geom. Phys. 132, 452-459 (2018). MSC: 70H07 37J30 12H05 34M45 70F07 49K15 PDFBibTeX XMLCite \textit{M. Orieux} et al., J. Geom. Phys. 132, 452--459 (2018; Zbl 1407.70025) Full Text: DOI arXiv
Podobryaev, A. V.; Sachkov, Yu. L. Symmetric Riemannian problem on the group of proper isometries of hyperbolic plane. (English) Zbl 1395.53061 J. Dyn. Control Syst. 24, No. 3, 391-423 (2018). MSC: 53C30 53C20 53C17 53C22 49J15 PDFBibTeX XMLCite \textit{A. V. Podobryaev} and \textit{Yu. L. Sachkov}, J. Dyn. Control Syst. 24, No. 3, 391--423 (2018; Zbl 1395.53061) Full Text: DOI arXiv
Burke, James V.; Eaton, Julia Variational analysis of convexly generated spectral max functions. (English) Zbl 1386.15038 Math. Program. 168, No. 1-2 (B), 63-92 (2018). Reviewer: Tin Yau Tam (Auburn) MSC: 15A42 34D05 49J52 49K99 90C26 PDFBibTeX XMLCite \textit{J. V. Burke} and \textit{J. Eaton}, Math. Program. 168, No. 1--2 (B), 63--92 (2018; Zbl 1386.15038) Full Text: DOI arXiv
Esen, Oğul; de León, Manuel; Sardón, Cristina A Hamilton-Jacobi theory for implicit differential systems. (English) Zbl 1385.58006 J. Math. Phys. 59, No. 2, 022902, 26 p. (2018). MSC: 58E05 49L20 70H05 53D12 70H20 PDFBibTeX XMLCite \textit{O. Esen} et al., J. Math. Phys. 59, No. 2, 022902, 26 p. (2018; Zbl 1385.58006) Full Text: DOI arXiv
Putkaradze, Vakhtang; Rogers, Stuart Constraint control of nonholonomic mechanical systems. (English) Zbl 1387.70027 J. Nonlinear Sci. 28, No. 1, 193-234 (2018). MSC: 70Q05 70E17 70B10 65L10 65P99 65-04 49K15 37J60 70F25 93B05 93B40 93C10 93C15 PDFBibTeX XMLCite \textit{V. Putkaradze} and \textit{S. Rogers}, J. Nonlinear Sci. 28, No. 1, 193--234 (2018; Zbl 1387.70027) Full Text: DOI arXiv
Peng, Haijun; Wang, Xinwei; Li, Mingwu; Chen, Biaosong An \(hp\) symplectic pseudospectral method for nonlinear optimal control. (English) Zbl 1473.49036 Commun. Nonlinear Sci. Numer. Simul. 42, 623-644 (2017). MSC: 49M25 65P10 PDFBibTeX XMLCite \textit{H. Peng} et al., Commun. Nonlinear Sci. Numer. Simul. 42, 623--644 (2017; Zbl 1473.49036) Full Text: DOI
Ardentov, Andrei A.; Sachkov, Yuri L. Maxwell strata and cut locus in the sub-Riemannian problem on the Engel group. (English) Zbl 1401.76036 Regul. Chaotic Dyn. 22, No. 8, 909-936 (2017). MSC: 76B47 49K15 PDFBibTeX XMLCite \textit{A. A. Ardentov} and \textit{Y. L. Sachkov}, Regul. Chaotic Dyn. 22, No. 8, 909--936 (2017; Zbl 1401.76036) Full Text: DOI arXiv
Krasovskiĭ, Nikolaĭ Andrevich; Taras’ev, Aleksandr Mikhaĭlovich Asymptotic behavior of solutions in dynamical bimatrix games with discounted indices. (Russian. English summary) Zbl 1390.49048 Vestn. Udmurt. Univ., Mat. Mekh. Komp’yut. Nauki 27, No. 2, 193-209 (2017). MSC: 49N70 49J15 91A25 91G10 PDFBibTeX XMLCite \textit{N. A. Krasovskiĭ} and \textit{A. M. Taras'ev}, Vestn. Udmurt. Univ., Mat. Mekh. Komp'yut. Nauki 27, No. 2, 193--209 (2017; Zbl 1390.49048) Full Text: DOI
Rossi, Olga Lepage manifolds. (English) Zbl 1393.58004 Falcone, Giovanni (ed.), Lie groups, differential equations, and geometry. Advances and surveys. Cham: Springer; Palermo: Università degli Studi di Palermo (ISBN 978-3-319-62180-7/hbk; 978-3-319-62181-4/ebook). UNIPA Springer Series, 321-361 (2017). Reviewer: Neda Bokan (Beograd) MSC: 58A20 55R10 55N30 53C60 58E30 37J05 70S05 35R01 49Q99 PDFBibTeX XMLCite \textit{O. Rossi}, in: Lie groups, differential equations, and geometry. Advances and surveys. Cham: Springer; Palermo: Università degli Studi di Palermo. 321--361 (2017; Zbl 1393.58004) Full Text: DOI
El Farouq, Naïma Degenerate first-order quasi-variational inequalities: an approach to approximate the value function. (English) Zbl 1428.35638 SIAM J. Control Optim. 55, No. 4, 2714-2733 (2017). MSC: 35Q93 49L25 49M25 35D40 PDFBibTeX XMLCite \textit{N. El Farouq}, SIAM J. Control Optim. 55, No. 4, 2714--2733 (2017; Zbl 1428.35638) Full Text: DOI
Plakhov, Alexander; Tabachnikov, Serge; Treschev, Dmitry Billiard transformations of parallel flows: a periscope theorem. (English) Zbl 1373.49053 J. Geom. Phys. 115, 157-166 (2017). MSC: 49Q10 49K30 78A05 37N15 PDFBibTeX XMLCite \textit{A. Plakhov} et al., J. Geom. Phys. 115, 157--166 (2017; Zbl 1373.49053) Full Text: DOI arXiv
Wang, Zhuopu; Zhang, Jiazhong; Wang, Le; Liu, Yan Bifurcation analysis of the oblique shock wave in the supersonic flow over a wedge from a calculus of variation approach. (English) Zbl 1366.76045 Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 4, Article ID 1750048, 11 p. (2017). MSC: 76L05 76J20 76N10 35Q31 49-XX 76M60 35B35 35B32 PDFBibTeX XMLCite \textit{Z. Wang} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 4, Article ID 1750048, 11 p. (2017; Zbl 1366.76045) Full Text: DOI
Weber, Thomas A. Global optimization on an interval. (English) Zbl 1375.49027 J. Optim. Theory Appl. 172, No. 2, 684-705 (2017). Reviewer: Hector O. Fattorini (Los Angeles) MSC: 49K05 49K15 91B06 PDFBibTeX XMLCite \textit{T. A. Weber}, J. Optim. Theory Appl. 172, No. 2, 684--705 (2017; Zbl 1375.49027) Full Text: DOI
Duval, Guillaume; Maciejewski, Andrzej; Respondek, Witold Non-integrability of the optimal control problem for \(n\)-level quantum systems. (English) Zbl 1366.81189 J. Phys. A, Math. Theor. 50, No. 17, Article ID 175202, 27 p. (2017). MSC: 81Q93 49J15 22E70 81V80 81R12 34M50 PDFBibTeX XMLCite \textit{G. Duval} et al., J. Phys. A, Math. Theor. 50, No. 17, Article ID 175202, 27 p. (2017; Zbl 1366.81189) Full Text: DOI
Gaitsgory, Vladimir; Rossomakhine, Sergey On near optimal control of systems with slow observables. (English) Zbl 1367.49014 SIAM J. Control Optim. 55, No. 3, 1398-1428 (2017). MSC: 49K15 49M30 34E15 34C29 34A60 93C70 PDFBibTeX XMLCite \textit{V. Gaitsgory} and \textit{S. Rossomakhine}, SIAM J. Control Optim. 55, No. 3, 1398--1428 (2017; Zbl 1367.49014) Full Text: DOI arXiv
Charlier, B.; Charon, N.; Trouvé, A. The fshape framework for the variability analysis of functional shapes. (English) Zbl 1376.49054 Found. Comput. Math. 17, No. 2, 287-357 (2017). Reviewer: Martin Gugat (Erlangen) MSC: 49Q10 49M25 58B32 58E50 68U05 68U10 PDFBibTeX XMLCite \textit{B. Charlier} et al., Found. Comput. Math. 17, No. 2, 287--357 (2017; Zbl 1376.49054) Full Text: DOI arXiv
Koba, Hajime; Liu, Chun; Giga, Yoshikazu Energetic variational approaches for incompressible fluid systems on an evolving surface. (English) Zbl 1358.37081 Q. Appl. Math. 75, No. 2, 359-389 (2017); erratum ibid. 76, No. 1, 147-152 (2018). MSC: 37E35 97M50 49S05 49Q20 35A15 35Q35 37N10 76M30 PDFBibTeX XMLCite \textit{H. Koba} et al., Q. Appl. Math. 75, No. 2, 359--389 (2017; Zbl 1358.37081) Full Text: DOI
Bierkens, Joris; Chernyak, Vladimir Y.; Chertkov, Michael; Kappen, Hilbert J. Linear PDEs and eigenvalue problems corresponding to ergodic stochastic optimization problems on compact manifolds. (English) Zbl 1457.49020 J. Stat. Mech. Theory Exp. 2016, No. 1, Article ID 013206, 32 p. (2016). MSC: 49K45 49L20 60H30 93E20 PDFBibTeX XMLCite \textit{J. Bierkens} et al., J. Stat. Mech. Theory Exp. 2016, No. 1, Article ID 013206, 32 p. (2016; Zbl 1457.49020) Full Text: DOI arXiv
Gaset, Jordi; Prieto-Martínez, Pedro D.; Román-Roy, Narciso Variational principles and symmetries on fibered multisymplectic manifolds. (English) Zbl 1406.49054 Commun. Math. 24, No. 2, 137-152 (2016). MSC: 49S05 70S10 55R10 58E30 PDFBibTeX XMLCite \textit{J. Gaset} et al., Commun. Math. 24, No. 2, 137--152 (2016; Zbl 1406.49054) Full Text: DOI arXiv Link
Mérigot, Quentin; Mirebeau, Jean-Marie Minimal geodesics along volume-preserving maps, through semidiscrete optimal transport. (English) Zbl 1354.65136 SIAM J. Numer. Anal. 54, No. 6, 3465-3492 (2016). MSC: 65K10 49J20 49M25 PDFBibTeX XMLCite \textit{Q. Mérigot} and \textit{J.-M. Mirebeau}, SIAM J. Numer. Anal. 54, No. 6, 3465--3492 (2016; Zbl 1354.65136) Full Text: DOI arXiv