Abali, Bilen Emek Energy based methods applied in mechanics by using the extended Noether’s formalism. (English) Zbl 07801495 ZAMM, Z. Angew. Math. Mech. 103, No. 12, Article ID e202300020, 23 p. (2023). MSC: 74A45 74B99 70S10 70H33 PDFBibTeX XMLCite \textit{B. E. Abali}, ZAMM, Z. Angew. Math. Mech. 103, No. 12, Article ID e202300020, 23 p. (2023; Zbl 07801495) Full Text: DOI arXiv OA License
Minguzzi, E. Inclusion of a perfect fluid term into the Einstein-Hilbert action. (English) Zbl 07787136 Int. J. Geom. Methods Mod. Phys. 20, No. 4, Article ID 2350063, 8 p. (2023). MSC: 83C99 80A10 PDFBibTeX XMLCite \textit{E. Minguzzi}, Int. J. Geom. Methods Mod. Phys. 20, No. 4, Article ID 2350063, 8 p. (2023; Zbl 07787136) Full Text: DOI arXiv
Delacroix, Bastien; Bouyges, Maxime; Blanchard, Ghislain; Laurent, Claire; Villedieu, Philippe Derivation via Hamilton’s principle of a new shallow-water model using a color function for the macroscopic description of partial wetting phenomena. (English) Zbl 07773883 ESAIM, Proc. Surv. 72, 64-92 (2023). MSC: 76-XX 82-XX PDFBibTeX XMLCite \textit{B. Delacroix} et al., ESAIM, Proc. Surv. 72, 64--92 (2023; Zbl 07773883) Full Text: DOI
Bengtsson, Ingemar; Eklund, Tobias Energy in Newtonian gravity. (English) Zbl 1516.83058 Found. Phys. 53, No. 1, Paper No. 15, 14 p. (2023). MSC: 83F05 83C55 16P50 00A79 83-03 PDFBibTeX XMLCite \textit{I. Bengtsson} and \textit{T. Eklund}, Found. Phys. 53, No. 1, Paper No. 15, 14 p. (2023; Zbl 1516.83058) Full Text: DOI arXiv
Acharya, Amit Variational principles for nonlinear PDE systems via duality. (English) Zbl 1503.49003 Q. Appl. Math. 81, No. 1, 127-140 (2023). MSC: 49J20 76D05 49N15 35Q30 35F21 PDFBibTeX XMLCite \textit{A. Acharya}, Q. Appl. Math. 81, No. 1, 127--140 (2023; Zbl 1503.49003) Full Text: DOI arXiv
Abanov, A. G.; Wiegmann, P. B. Anomalies in fluid dynamics: flows in a chiral background via variational principle. (English) Zbl 1520.76066 J. Phys. A, Math. Theor. 55, No. 41, Article ID 414001, 12 p. (2022). MSC: 76M30 35Q31 PDFBibTeX XMLCite \textit{A. G. Abanov} and \textit{P. B. Wiegmann}, J. Phys. A, Math. Theor. 55, No. 41, Article ID 414001, 12 p. (2022; Zbl 1520.76066) Full Text: DOI arXiv
Gonzalez, Cody; Taha, Haithem E. A variational theory of lift. (English) Zbl 1502.76010 J. Fluid Mech. 941, Paper No. A58, 21 p. (2022). MSC: 76B10 76M30 PDFBibTeX XMLCite \textit{C. Gonzalez} and \textit{H. E. Taha}, J. Fluid Mech. 941, Paper No. A58, 21 p. (2022; Zbl 1502.76010) Full Text: DOI arXiv
Scholle, M. A weakly nonlinear wave equation for damped acoustic waves with thermodynamic non-equilibrium effects. (English) Zbl 1524.76413 Wave Motion 109, Article ID 102876, 10 p. (2022). MSC: 76Q05 76D17 PDFBibTeX XMLCite \textit{M. Scholle}, Wave Motion 109, Article ID 102876, 10 p. (2022; Zbl 1524.76413) Full Text: DOI arXiv
Hiley, Basil J.; Dennis, Glen; de Gosson, Maurice A. The role of geometric and dynamical phases in the Dirac-Bohm picture. (English) Zbl 1487.81109 Ann. Phys. 438, Article ID 168759, 31 p. (2022). MSC: 81R30 15A66 70S15 81Q65 53Z05 PDFBibTeX XMLCite \textit{B. J. Hiley} et al., Ann. Phys. 438, Article ID 168759, 31 p. (2022; Zbl 1487.81109) Full Text: DOI
Israwi, Samer; Kalisch, Henrik; Katsaounis, Theodoros; Mitsotakis, Dimitrios A regularized shallow-water waves system with slip-wall boundary conditions in a basin: theory and numerical analysis. (English) Zbl 1481.35331 Nonlinearity 35, No. 1, 750-786 (2022). MSC: 35Q35 76B15 35C08 35B65 35B45 35B40 65M60 65L06 65N30 65M12 65M15 PDFBibTeX XMLCite \textit{S. Israwi} et al., Nonlinearity 35, No. 1, 750--786 (2022; Zbl 1481.35331) Full Text: DOI arXiv
Abali, Bilen Emek; Klunker, Andre; Barchiesi, Emilio; Placidi, Luca A novel phase-field approach to brittle damage mechanics of gradient metamaterials combining action formalism and history variable. (English) Zbl 07813150 ZAMM, Z. Angew. Math. Mech. 101, No. 9, Article ID e202000289, 21 p. (2021). MSC: 74Rxx 74Axx 74Sxx PDFBibTeX XMLCite \textit{B. E. Abali} et al., ZAMM, Z. Angew. Math. Mech. 101, No. 9, Article ID e202000289, 21 p. (2021; Zbl 07813150) Full Text: DOI OA License
Dorodnitsyn, V. A.; Kozlov, R.; Meleshko, S. V. One-dimensional flows of a polytropic gas: Lie group classification, conservation laws, invariant and conservative difference schemes. (English) Zbl 1504.35024 Luo, Albert C. J. (ed.) et al., Symmetries and applications of differential equations. In memory of Nail H. Ibragimov (1939–2018). Beijing: Higher Education Press; Singapore: Springer. Nonlinear Phys. Sci., 61-98 (2021). MSC: 35B06 35B07 35Q35 PDFBibTeX XMLCite \textit{V. A. Dorodnitsyn} et al., in: Symmetries and applications of differential equations. In memory of Nail H. Ibragimov (1939--2018). Beijing: Higher Education Press; Singapore: Springer. 61--98 (2021; Zbl 1504.35024) Full Text: DOI arXiv
Mottola, Emil; Sadofyev, Andrey V. Chiral waves on the Fermi-Dirac sea: quantum superfluidity and the axial anomaly. (English) Zbl 1509.81639 Nucl. Phys., B 966, Article ID 115385, 42 p. (2021). MSC: 81V74 76A25 83A05 11B05 76Q05 81V25 82B30 81R40 81S05 81V10 78A40 PDFBibTeX XMLCite \textit{E. Mottola} and \textit{A. V. Sadofyev}, Nucl. Phys., B 966, Article ID 115385, 42 p. (2021; Zbl 1509.81639) Full Text: DOI arXiv
Gouin, Henri Rankine-Hugoniot conditions obtained by using the space-time Hamilton action. (English) Zbl 1477.70030 Ric. Mat. 70, No. 1, 115-129 (2021). MSC: 70H25 76L05 76M30 PDFBibTeX XMLCite \textit{H. Gouin}, Ric. Mat. 70, No. 1, 115--129 (2021; Zbl 1477.70030) Full Text: DOI arXiv
Singh, H.; Hanna, J. A. Pseudomomentum: origins and consequences. (English) Zbl 1465.74018 Z. Angew. Math. Phys. 72, No. 3, Paper No. 122, 25 p. (2021); correction ibid. 73, No. 5, Paper No. 189, 1 p. (2022). MSC: 74A99 76A99 PDFBibTeX XMLCite \textit{H. Singh} and \textit{J. A. Hanna}, Z. Angew. Math. Phys. 72, No. 3, Paper No. 122, 25 p. (2021; Zbl 1465.74018) Full Text: DOI arXiv
Kloosterziel, R. C.; Maas, L. R. M. Rossby wave energy: a local Eulerian isotropic invariant. (English) Zbl 1461.76534 J. Fluid Mech. 913, Paper No. A46, 16 p. (2021). MSC: 76U60 86A05 PDFBibTeX XMLCite \textit{R. C. Kloosterziel} and \textit{L. R. M. Maas}, J. Fluid Mech. 913, Paper No. A46, 16 p. (2021; Zbl 1461.76534) Full Text: DOI
Hara, Kensuke; Watanabe, Masahiro Application of the DAE approach to the nonlinear sloshing problem. (English) Zbl 1516.76012 Nonlinear Dyn. 99, No. 3, 2065-2081 (2020). MSC: 76B10 PDFBibTeX XMLCite \textit{K. Hara} and \textit{M. Watanabe}, Nonlinear Dyn. 99, No. 3, 2065--2081 (2020; Zbl 1516.76012) Full Text: DOI
Eldred, Christopher; Gay-Balmaz, François Single and double generator bracket formulations of multicomponent fluids with irreversible processes. (English) Zbl 1519.76344 J. Phys. A, Math. Theor. 53, No. 39, Article ID 395701, 36 p. (2020). MSC: 76T30 76F20 76F02 PDFBibTeX XMLCite \textit{C. Eldred} and \textit{F. Gay-Balmaz}, J. Phys. A, Math. Theor. 53, No. 39, Article ID 395701, 36 p. (2020; Zbl 1519.76344) Full Text: DOI
Pavelka, Michal; Peshkov, Ilya; Klika, Václav On Hamiltonian continuum mechanics. (English) Zbl 1493.74009 Physica D 408, Article ID 132510, 19 p. (2020). MSC: 74A99 70H05 70H30 70G65 PDFBibTeX XMLCite \textit{M. Pavelka} et al., Physica D 408, Article ID 132510, 19 p. (2020; Zbl 1493.74009) Full Text: DOI arXiv
Scholle, M.; Marner, F.; Gaskell, P. H. A first integral form of the energy-momentum equations for viscous flow, with comparisons drawn to classical fluid flow theory. (English) Zbl 1477.76034 Eur. J. Mech., B, Fluids 84, 262-271 (2020). MSC: 76D99 76N06 76A02 76Q05 PDFBibTeX XMLCite \textit{M. Scholle} et al., Eur. J. Mech., B, Fluids 84, 262--271 (2020; Zbl 1477.76034) Full Text: DOI
Scholle, M. A discontinuous variational principle implying a non-equilibrium dispersion relation for damped acoustic waves. (English) Zbl 1462.76165 Wave Motion 98, Article ID 102636, 11 p. (2020). MSC: 76Q05 76M30 80A19 PDFBibTeX XMLCite \textit{M. Scholle}, Wave Motion 98, Article ID 102636, 11 p. (2020; Zbl 1462.76165) Full Text: DOI
Bobylev, Alexander V.; Meleshko, Sergey V. Group analysis of the generalized Burnett equations. (English) Zbl 1436.35019 J. Nonlinear Math. Phys. 27, No. 3, 494-508 (2020). MSC: 35B06 PDFBibTeX XMLCite \textit{A. V. Bobylev} and \textit{S. V. Meleshko}, J. Nonlinear Math. Phys. 27, No. 3, 494--508 (2020; Zbl 1436.35019) Full Text: DOI
Rogers, Colin Reciprocal gausson phenomena in a Korteweg capillarity system. (English) Zbl 07785901 Meccanica 54, No. 10, 1515-1523 (2019). MSC: 35Q35 35Q53 35Q55 76B45 76D45 PDFBibTeX XMLCite \textit{C. Rogers}, Meccanica 54, No. 10, 1515--1523 (2019; Zbl 07785901) Full Text: DOI
Gay-Balmaz, François A variational derivation of the thermodynamics of a moist atmosphere with rain process and its pseudoincompressible approximation. (English) Zbl 1521.86022 Geophys. Astrophys. Fluid Dyn. 113, No. 5-6, 428-465 (2019). MSC: 86A10 PDFBibTeX XMLCite \textit{F. Gay-Balmaz}, Geophys. Astrophys. Fluid Dyn. 113, No. 5--6, 428--465 (2019; Zbl 1521.86022) Full Text: DOI arXiv
Tucker, R. W.; Walton, T. J.; Arrayás, M.; Trueba, J. L. A new paradigm for the dynamics of the early universe. (English) Zbl 1478.83274 Classical Quantum Gravity 36, No. 24, Article ID 245016, 33 p. (2019). MSC: 83F05 83C05 85A25 83C55 53C21 83C75 83E05 83C56 PDFBibTeX XMLCite \textit{R. W. Tucker} et al., Classical Quantum Gravity 36, No. 24, Article ID 245016, 33 p. (2019; Zbl 1478.83274) Full Text: DOI arXiv
Bridges, Thomas J. The pressure boundary condition and the pressure as Lagrangian for water waves. (English) Zbl 1458.76012 Water Waves 1, No. 1, 131-143 (2019). MSC: 76B15 76M30 76B47 86A05 PDFBibTeX XMLCite \textit{T. J. Bridges}, Water Waves 1, No. 1, 131--143 (2019; Zbl 1458.76012) Full Text: DOI
Dorodnitsyn, V. A.; Kozlov, Roman; Meleshko, Sergey V. One-dimensional gas dynamics equations of a polytropic gas in Lagrangian coordinates: symmetry classification, conservation laws, difference schemes. (English) Zbl 1464.82019 Commun. Nonlinear Sci. Numer. Simul. 74, 201-218 (2019). MSC: 82D05 PDFBibTeX XMLCite \textit{V. A. Dorodnitsyn} et al., Commun. Nonlinear Sci. Numer. Simul. 74, 201--218 (2019; Zbl 1464.82019) Full Text: DOI arXiv
Blower, Gordon; Brett, Caroline; Doust, Ian Statistical mechanics of the periodic Benjamin-Ono equation. (English) Zbl 1428.82025 J. Math. Phys. 60, No. 9, 093302, 25 p. (2019). MSC: 82B30 37K10 35Q53 35C08 46E35 82D05 76N15 35R06 35Q31 35R09 70H20 PDFBibTeX XMLCite \textit{G. Blower} et al., J. Math. Phys. 60, No. 9, 093302, 25 p. (2019; Zbl 1428.82025) Full Text: DOI arXiv
Evers, Joep H. M.; Zisis, Iason A.; van der Linden, Bas J.; Manh Hong Duong From continuum mechanics to SPH particle systems and back: systematic derivation and convergence. (English) Zbl 07776749 ZAMM, Z. Angew. Math. Mech. 98, No. 1, 106-133 (2018). MSC: 70H25 28A33 35Q70 46E27 65M75 76M28 PDFBibTeX XMLCite \textit{J. H. M. Evers} et al., ZAMM, Z. Angew. Math. Mech. 98, No. 1, 106--133 (2018; Zbl 07776749) Full Text: DOI arXiv
Eugster, Simon R.; dell’Isola, Francesco Exegesis of sect. II and III.A from “Fundamentals of the mechanics of continua” by E. Hellinger. (English) Zbl 07776747 ZAMM, Z. Angew. Math. Mech. 98, No. 1, 31-68 (2018). MSC: 74Axx 01Axx 74Bxx PDFBibTeX XMLCite \textit{S. R. Eugster} and \textit{F. dell'Isola}, ZAMM, Z. Angew. Math. Mech. 98, No. 1, 31--68 (2018; Zbl 07776747) Full Text: DOI
Koba, Hajime; Sato, Kazuki Energetic variational approaches for non-Newtonian fluid systems. (English) Zbl 1402.49044 Z. Angew. Math. Phys. 69, No. 6, Paper No. 143, 28 p. (2018). MSC: 49S05 49Q20 76A05 PDFBibTeX XMLCite \textit{H. Koba} and \textit{K. Sato}, Z. Angew. Math. Phys. 69, No. 6, Paper No. 143, 28 p. (2018; Zbl 1402.49044) Full Text: DOI arXiv
Lebon, F.; Rizzoni, Raffaella Higher order interfacial effects for elastic waves in one dimensional phononic crystals via the Lagrange-Hamilton’s principle. (English) Zbl 1406.74349 Eur. J. Mech., A, Solids 67, 58-70 (2018). MSC: 74J05 74E30 74A50 PDFBibTeX XMLCite \textit{F. Lebon} and \textit{R. Rizzoni}, Eur. J. Mech., A, Solids 67, 58--70 (2018; Zbl 1406.74349) Full Text: DOI HAL
Fimin, Nikolaĭ Nikolaevich; Chechetkin, Valeriĭ Mikhaĭlovich Application of the hydrodynamic substitution for systems of equations with the same principal part. (Russian. English summary) Zbl 1394.35337 Nelineĭn. Din. 14, No. 1, 53-62 (2018). MSC: 35Q31 35Q83 35F21 PDFBibTeX XMLCite \textit{N. N. Fimin} and \textit{V. M. Chechetkin}, Nelineĭn. Din. 14, No. 1, 53--62 (2018; Zbl 1394.35337) Full Text: DOI MNR
Scholle, M.; Gaskell, P. H.; Marner, F. Exact integration of the unsteady incompressible Navier-Stokes equations, gauge criteria, and applications. (English) Zbl 1391.76094 J. Math. Phys. 59, No. 4, 043101, 26 p. (2018). MSC: 76D03 76D05 35Q30 70S15 37K10 PDFBibTeX XMLCite \textit{M. Scholle} et al., J. Math. Phys. 59, No. 4, 043101, 26 p. (2018; Zbl 1391.76094) Full Text: DOI Link
Ohkitani, Koji Study of the 3D Euler equations using Clebsch potentials: dual mechanisms for geometric depletion. (English) Zbl 1391.76058 Nonlinearity 31, No. 2, R25-R51 (2018); addendum ibid. 31, No. 8, 3973 (2018). MSC: 76B03 76B47 35Q35 PDFBibTeX XMLCite \textit{K. Ohkitani}, Nonlinearity 31, No. 2, R25--R51 (2018; Zbl 1391.76058) Full Text: DOI Link
Mitra, Arpan Krishna; Banerjee, Rabin; Ghosh, Subir On the equivalence among stress tensors in a gauge-fluid system. (English) Zbl 1470.83032 Int. J. Mod. Phys. A 32, No. 36, Article ID 1750210, 19 p. (2017). MSC: 83C55 35Q31 PDFBibTeX XMLCite \textit{A. K. Mitra} et al., Int. J. Mod. Phys. A 32, No. 36, Article ID 1750210, 19 p. (2017; Zbl 1470.83032) Full Text: DOI arXiv
Gouin, Henri; Ruggeri, Tommaso Symmetric form for the hyperbolic-parabolic system of fourth-gradient fluid model. (English) Zbl 1375.76012 Ric. Mat. 66, No. 2, 491-508 (2017). MSC: 76A02 76E30 76M30 35Q35 PDFBibTeX XMLCite \textit{H. Gouin} and \textit{T. Ruggeri}, Ric. Mat. 66, No. 2, 491--508 (2017; Zbl 1375.76012) Full Text: DOI arXiv
Shababi, Homa; Pedram, Pouria Hořava-Lifshitz quantum cosmology in the presence of Chaplygin gas: exact solutions and the late-time acceleration. (English) Zbl 1371.83076 Int. J. Mod. Phys. D 26, No. 8, Article ID 1750081, 19 p. (2017). MSC: 83C45 83F05 83B05 83C15 PDFBibTeX XMLCite \textit{H. Shababi} and \textit{P. Pedram}, Int. J. Mod. Phys. D 26, No. 8, Article ID 1750081, 19 p. (2017; Zbl 1371.83076) Full Text: DOI
Roberts, Mark D. The Clebsch potential approach to fluid Lagrangians. (English) Zbl 1470.76016 J. Geom. Phys. 117, 60-67 (2017). MSC: 76A02 PDFBibTeX XMLCite \textit{M. D. Roberts}, J. Geom. Phys. 117, 60--67 (2017; Zbl 1470.76016) Full Text: DOI arXiv
Camassa, R.; Falqui, G.; Ortenzi, G. Two-layer interfacial flows beyond the Boussinesq approximation: a Hamiltonian approach. (English) Zbl 1364.37140 Nonlinearity 30, No. 2, 466-491 (2017). Reviewer: Vladislav Nikolaevich Dumachev (Voronezh) MSC: 37K05 76B70 35M30 37K10 PDFBibTeX XMLCite \textit{R. Camassa} et al., Nonlinearity 30, No. 2, 466--491 (2017; Zbl 1364.37140) Full Text: DOI arXiv
Gay-Balmaz, François; Yoshimura, Hiroaki A Lagrangian variational formulation for nonequilibrium thermodynamics. II: Continuum systems. (English) Zbl 1357.37051 J. Geom. Phys. 111, 194-212 (2017). Reviewer: Elvira Mascolo (Firenze) MSC: 37D35 37J60 49S05 70F25 PDFBibTeX XMLCite \textit{F. Gay-Balmaz} and \textit{H. Yoshimura}, J. Geom. Phys. 111, 194--212 (2017; Zbl 1357.37051) Full Text: DOI
Rogers, Colin The Korteweg capillarity system. Integrable reduction via gauge and reciprocal links. (English) Zbl 07775069 ZAMM, Z. Angew. Math. Mech. 96, No. 7, 813-823 (2016). MSC: 35Qxx 37Kxx 58Jxx PDFBibTeX XMLCite \textit{C. Rogers}, ZAMM, Z. Angew. Math. Mech. 96, No. 7, 813--823 (2016; Zbl 07775069) Full Text: DOI
Scholle, M.; Marner, F. A generalized Clebsch transformation leading to a first integral of Navier-Stokes equations. (English) Zbl 1366.35118 Phys. Lett., A 380, No. 40, 3258-3261 (2016). MSC: 35Q30 35A25 35A30 76D05 PDFBibTeX XMLCite \textit{M. Scholle} and \textit{F. Marner}, Phys. Lett., A 380, No. 40, 3258--3261 (2016; Zbl 1366.35118) Full Text: DOI
Davey, K.; Darvizeh, R. Neglected transport equations: extended Rankine-Hugoniot conditions and \(J\)-integrals for fracture. (English) Zbl 1355.74011 Contin. Mech. Thermodyn. 28, No. 5, 1525-1552 (2016). MSC: 74A45 74R99 35Q74 PDFBibTeX XMLCite \textit{K. Davey} and \textit{R. Darvizeh}, Contin. Mech. Thermodyn. 28, No. 5, 1525--1552 (2016; Zbl 1355.74011) Full Text: DOI
Gouin, Henri; Saccomandi, Giuseppe Travelling waves of density for a fourth-gradient model of fluids. (English) Zbl 1355.76005 Contin. Mech. Thermodyn. 28, No. 5, 1511-1523 (2016). MSC: 76A02 76D33 74F10 PDFBibTeX XMLCite \textit{H. Gouin} and \textit{G. Saccomandi}, Contin. Mech. Thermodyn. 28, No. 5, 1511--1523 (2016; Zbl 1355.76005) Full Text: DOI arXiv
Christov, Ivan C. Nonlinear acoustics and shock formation in lossless barotropic Green-Naghdi fluids. (English) Zbl 1351.35129 Evol. Equ. Control Theory 5, No. 3, 349-365 (2016). MSC: 35Q35 76N15 76L05 35L67 35B44 76Q05 76M12 65M08 PDFBibTeX XMLCite \textit{I. C. Christov}, Evol. Equ. Control Theory 5, No. 3, 349--365 (2016; Zbl 1351.35129) Full Text: DOI arXiv
Kholodenko, Arkady L. Optical knots and contact geometry. I: From Arnol’d inequality to Ranada’s dyons. (English) Zbl 1342.35365 Anal. Math. Phys. 6, No. 2, 163-198 (2016). MSC: 35Q60 35Q35 53B50 53D10 53D40 76A02 78A02 81T13 PDFBibTeX XMLCite \textit{A. L. Kholodenko}, Anal. Math. Phys. 6, No. 2, 163--198 (2016; Zbl 1342.35365) Full Text: DOI arXiv
Calogeracos, Alex Longitudinal oscillations in a non-uniform spatially dispersive plasma. (English) Zbl 1377.76029 Ann. Phys. 354, 31-71 (2015). MSC: 76N15 82D35 76M30 PDFBibTeX XMLCite \textit{A. Calogeracos}, Ann. Phys. 354, 31--71 (2015; Zbl 1377.76029) Full Text: DOI
Kraus, Michael; Maj, Omar Variational integrators for nonvariational partial differential equations. (English) Zbl 1364.35017 Physica D 310, 37-71 (2015). MSC: 35A35 37J05 37J15 PDFBibTeX XMLCite \textit{M. Kraus} and \textit{O. Maj}, Physica D 310, 37--71 (2015; Zbl 1364.35017) Full Text: DOI arXiv
Ruiz, D. E.; Dodin, I. Y. On the correspondence between quantum and classical variational principles. (English) Zbl 1361.70021 Phys. Lett., A 379, No. 40-41, 2623-2630 (2015). MSC: 70H30 49S05 PDFBibTeX XMLCite \textit{D. E. Ruiz} and \textit{I. Y. Dodin}, Phys. Lett., A 379, No. 40--41, 2623--2630 (2015; Zbl 1361.70021) Full Text: DOI arXiv
Romeo, Maurizio A variational formulation for electroelasticity of microcontinua. (English) Zbl 1338.74043 Math. Mech. Solids 20, No. 10, 1234-1250 (2015). MSC: 74F15 74M25 74G75 PDFBibTeX XMLCite \textit{M. Romeo}, Math. Mech. Solids 20, No. 10, 1234--1250 (2015; Zbl 1338.74043) Full Text: DOI
Bertolami, Orfeu; Páramos, Jorge Homogeneous spherically symmetric bodies with a non-minimal coupling between curvature and matter: the choice of the Lagrangian density for matter. (English) Zbl 1329.83148 Gen. Relativ. Gravitation 47, No. 1, Article ID 1835, 17 p. (2015). MSC: 83D05 85A15 83C15 83C55 PDFBibTeX XMLCite \textit{O. Bertolami} and \textit{J. Páramos}, Gen. Relativ. Gravitation 47, No. 1, Article ID 1835, 17 p. (2015; Zbl 1329.83148) Full Text: DOI arXiv
Tanehashi, K.; Yoshida, Z. Gauge symmetries and Noether charges in Clebsch-parameterized magnetohydrodynamics. (English) Zbl 1329.76400 J. Phys. A, Math. Theor. 48, No. 49, Article ID 495501, 20 p. (2015). MSC: 76W05 PDFBibTeX XMLCite \textit{K. Tanehashi} and \textit{Z. Yoshida}, J. Phys. A, Math. Theor. 48, No. 49, Article ID 495501, 20 p. (2015; Zbl 1329.76400) Full Text: DOI arXiv
Yahalom, Asher; Lynden-Bell, Donald Variational principles for topological barotropic fluid dynamics. (English) Zbl 07657792 Geophys. Astrophys. Fluid Dyn. 108, No. 6, 667-685 (2014). MSC: 00-XX PDFBibTeX XMLCite \textit{A. Yahalom} and \textit{D. Lynden-Bell}, Geophys. Astrophys. Fluid Dyn. 108, No. 6, 667--685 (2014; Zbl 07657792) Full Text: DOI
Zhou, Chunyan; Wang, Dajun Nonlinear low frequency water waves in a cylindrical shell subjected to high frequency excitations. II: Theoretical analysis. (English) Zbl 1457.76047 Commun. Nonlinear Sci. Numer. Simul. 19, No. 4, 1128-1141 (2014). MSC: 76B15 PDFBibTeX XMLCite \textit{C. Zhou} and \textit{D. Wang}, Commun. Nonlinear Sci. Numer. Simul. 19, No. 4, 1128--1141 (2014; Zbl 1457.76047) Full Text: DOI
Bertolami, Orfeu; Páramos, Jorge Minimal extension of general relativity: alternative gravity model with non-minimal coupling between matter and curvature. (English) Zbl 1291.83179 Int. J. Geom. Methods Mod. Phys. 11, No. 2, Article ID 1460003, 23 p. (2014). MSC: 83D05 83F05 83C15 PDFBibTeX XMLCite \textit{O. Bertolami} and \textit{J. Páramos}, Int. J. Geom. Methods Mod. Phys. 11, No. 2, Article ID 1460003, 23 p. (2014; Zbl 1291.83179) Full Text: DOI arXiv
Diez-Tejedor, Alberto Note on scalars, perfect fluids, constrained field theories, and all that. (English) Zbl 1331.70075 Phys. Lett., B 727, No. 1-3, 27-30 (2013). MSC: 70S15 81T30 PDFBibTeX XMLCite \textit{A. Diez-Tejedor}, Phys. Lett., B 727, No. 1--3, 27--30 (2013; Zbl 1331.70075) Full Text: DOI arXiv
Warneford, Emma S.; Dellar, Paul J. The quasi-geostrophic theory of the thermal shallow water equations. (English) Zbl 1287.76070 J. Fluid Mech. 723, 374-403 (2013). MSC: 76B15 86A05 80A20 PDFBibTeX XMLCite \textit{E. S. Warneford} and \textit{P. J. Dellar}, J. Fluid Mech. 723, 374--403 (2013; Zbl 1287.76070) Full Text: DOI
Ostoja-Starzewski, Martin Electromagnetism on anisotropic fractal media. (English) Zbl 1276.78002 Z. Angew. Math. Phys. 64, No. 2, 381-390 (2013). Reviewer: Guanggan Chen (Chengdu) MSC: 78A25 28A80 35Q61 35Q60 PDFBibTeX XMLCite \textit{M. Ostoja-Starzewski}, Z. Angew. Math. Phys. 64, No. 2, 381--390 (2013; Zbl 1276.78002) Full Text: DOI arXiv
Fedele, Francesco; Dutykh, Denys Special solutions to a compact equation for deep-water gravity waves. (English) Zbl 1275.76049 J. Fluid Mech. 712, 646-660 (2012). MSC: 76B15 PDFBibTeX XMLCite \textit{F. Fedele} and \textit{D. Dutykh}, J. Fluid Mech. 712, 646--660 (2012; Zbl 1275.76049) Full Text: DOI arXiv
He, Ji-Huan Asymptotic methods for solitary solutions and compactons. (English) Zbl 1257.35158 Abstr. Appl. Anal. 2012, Article ID 916793, 130 p. (2012). MSC: 35Q51 35C08 35R11 35-01 PDFBibTeX XMLCite \textit{J.-H. He}, Abstr. Appl. Anal. 2012, Article ID 916793, 130 p. (2012; Zbl 1257.35158) Full Text: DOI
Buffoni, B. Generalized flows satisfying spatial boundary conditions. (English) Zbl 1255.35180 J. Math. Fluid Mech. 14, No. 3, 501-528 (2012). MSC: 35Q31 35A15 76D07 PDFBibTeX XMLCite \textit{B. Buffoni}, J. Math. Fluid Mech. 14, No. 3, 501--528 (2012; Zbl 1255.35180) Full Text: DOI Link
Gay-Balmaz, François; Marsden, Jerrold E.; Ratiu, Tudor S. Reduced variational formulations in free boundary continuum mechanics. (English) Zbl 1260.37031 J. Nonlinear Sci. 22, No. 4, 463-497 (2012). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 37K05 37K65 35R35 37N15 74B20 37N10 74F10 76N99 PDFBibTeX XMLCite \textit{F. Gay-Balmaz} et al., J. Nonlinear Sci. 22, No. 4, 463--497 (2012; Zbl 1260.37031) Full Text: DOI Link
Scholle, Markus; Haas, André; Gaskell, Philip H. A first integral of Navier-Stokes equations and its applications. (English) Zbl 1219.76012 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 467, No. 2125, 127-143 (2011). MSC: 76D05 76D08 PDFBibTeX XMLCite \textit{M. Scholle} et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 467, No. 2125, 127--143 (2011; Zbl 1219.76012) Full Text: DOI
Sisterna, Pablo D. Variable speed of light theories: a thermodynamic analysis of planetary and white dwarf phenomena. (English) Zbl 1219.85006 Int. J. Mod. Phys. D 20, No. 5, 805-820 (2011). MSC: 85A15 83D05 83C10 80A10 83C55 PDFBibTeX XMLCite \textit{P. D. Sisterna}, Int. J. Mod. Phys. D 20, No. 5, 805--820 (2011; Zbl 1219.85006) Full Text: DOI
Barbarosie, Cristian Representation of divergence-free vector fields. (English) Zbl 1220.26008 Q. Appl. Math. 69, No. 2, 309-316 (2011). MSC: 26B12 53A45 53C65 58A10 58A25 PDFBibTeX XMLCite \textit{C. Barbarosie}, Q. Appl. Math. 69, No. 2, 309--316 (2011; Zbl 1220.26008) Full Text: DOI Link
Casetta, Leonardo; Pesce, Celso P. On Seliger and Whitham’s variational principle for hydrodynamic systems from the point of view of ‘fictitious particles’. (English) Zbl 1381.37102 Acta Mech. 219, No. 1-2, 181-184 (2011). MSC: 37N10 PDFBibTeX XMLCite \textit{L. Casetta} and \textit{C. P. Pesce}, Acta Mech. 219, No. 1--2, 181--184 (2011; Zbl 1381.37102) Full Text: DOI
dell’Isola, Francesco; Madeo, Angela; Seppecher, Pierre Boundary conditions at fluid-permeable interfaces in porous media: a variational approach. (English) Zbl 1167.74393 Int. J. Solids Struct. 46, No. 17, 3150-3164 (2009). MSC: 74F10 74G65 76S05 PDFBibTeX XMLCite \textit{F. dell'Isola} et al., Int. J. Solids Struct. 46, No. 17, 3150--3164 (2009; Zbl 1167.74393) Full Text: DOI HAL
Cotter, C. J.; Holm, D. D. Continuous and discrete Clebsch variational principles. (English) Zbl 1171.37026 Found. Comput. Math. 9, No. 2, 221-242 (2009). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37J15 65P10 70H45 PDFBibTeX XMLCite \textit{C. J. Cotter} and \textit{D. D. Holm}, Found. Comput. Math. 9, No. 2, 221--242 (2009; Zbl 1171.37026) Full Text: DOI arXiv Link
Sieniutycz, Stanislaw Variational setting for reversible and irreversible fluids with heat flow. (English) Zbl 1143.80008 Int. J. Heat Mass Transfer 51, No. 11-12, 2665-2675 (2008). MSC: 80A20 76A02 PDFBibTeX XMLCite \textit{S. Sieniutycz}, Int. J. Heat Mass Transfer 51, No. 11--12, 2665--2675 (2008; Zbl 1143.80008) Full Text: DOI
Cotter, C. J.; Holm, D. D.; Hydon, P. E. Multisymplectic formulation of fluid dynamics using the inverse map. (English) Zbl 1129.37036 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 463, No. 2086, 2671-2687 (2007). MSC: 37K05 37N10 76B99 PDFBibTeX XMLCite \textit{C. J. Cotter} et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 463, No. 2086, 2671--2687 (2007; Zbl 1129.37036) Full Text: DOI arXiv Link
Soloviev, Vladimir O. Boundary values as Hamiltonian variables. III. Ideal fluid with a free surface. (English) Zbl 1060.37052 J. Math. Phys. 43, No. 7, 3655-3675 (2002). MSC: 37K05 35F20 35Q35 37N10 70S05 76B99 PDFBibTeX XMLCite \textit{V. O. Soloviev}, J. Math. Phys. 43, No. 7, 3655--3675 (2002; Zbl 1060.37052) Full Text: DOI Link
Gavrilyuk, Sergey; Saurel, Richard Mathematical and numerical modeling of two-phase compressible flows with micro-inertia. (English) Zbl 1039.76067 J. Comput. Phys. 175, No. 1, 326-360 (2002). MSC: 76T10 76M12 76L05 PDFBibTeX XMLCite \textit{S. Gavrilyuk} and \textit{R. Saurel}, J. Comput. Phys. 175, No. 1, 326--360 (2002; Zbl 1039.76067) Full Text: DOI
Marsden, Jerrold E.; Ratiu, Tudor S.; Scheurle, Jürgen Reduction theory and the Lagrange-Routh equations. (English) Zbl 1044.37043 J. Math. Phys. 41, No. 6, 3379-3429 (2000). MSC: 37J15 53D20 70E15 70E17 70H30 70H33 PDFBibTeX XMLCite \textit{J. E. Marsden} et al., J. Math. Phys. 41, No. 6, 3379--3429 (2000; Zbl 1044.37043) Full Text: DOI
Gümral, Hasan Helicity invariants in 3D: Kinematical aspects. (English) Zbl 0970.76077 Physica D 139, No. 3-4, 335-359 (2000). MSC: 76M60 76B99 76W05 37N10 53Z05 PDFBibTeX XMLCite \textit{H. Gümral}, Physica D 139, No. 3--4, 335--359 (2000; Zbl 0970.76077) Full Text: DOI arXiv
Lisin, V. B.; Potapov, A. I. A variational method of deriving the equations of the nonlinear mechanics of liquid crystals. (English. Russian original) Zbl 0953.76004 J. Appl. Math. Mech. 63, No. 2, 327-332 (1999); translation from Prikl. Mat. Mekh. 63, No. 2, 340-346 (1999). Reviewer: G. A. Bugaenko (Cherkassy) MSC: 76A15 82D30 70H25 PDFBibTeX XMLCite \textit{V. B. Lisin} and \textit{A. I. Potapov}, Prikl. Mat. Mekh. 63, No. 2, 340--346 (1999; Zbl 0953.76004); translation from Prikl. Mat. Mekh. 63, No. 2, 340--346 (1999)
Rylov, Yuri A. Spin and wave function as attributes of ideal fluid. (English) Zbl 0946.76104 J. Math. Phys. 40, No. 1, 256-278 (1999). MSC: 76Y05 76A99 82D15 PDFBibTeX XMLCite \textit{Y. A. Rylov}, J. Math. Phys. 40, No. 1, 256--278 (1999; Zbl 0946.76104) Full Text: DOI
Holm, Darryl D.; Zeitlin, Vladimir Hamilton’s principle for quasigeostrophic motion. (English) Zbl 1185.76848 Phys. Fluids 10, No. 4, 800-806 (1998). MSC: 76M30 76U05 76V05 86A05 86A10 PDFBibTeX XMLCite \textit{D. D. Holm} and \textit{V. Zeitlin}, Phys. Fluids 10, No. 4, 800--806 (1998; Zbl 1185.76848) Full Text: DOI arXiv
Yokota, Jeffrey W. Potential/complex-lamellar descriptions of incompressible viscous flow. (English) Zbl 1185.76572 Phys. Fluids 9, No. 8, 2264-2272 (1997). MSC: 76D99 PDFBibTeX XMLCite \textit{J. W. Yokota}, Phys. Fluids 9, No. 8, 2264--2272 (1997; Zbl 1185.76572) Full Text: DOI
Chu, S. S.; Lee, K. D. Euler transonic solutions over finite wings using the Clebsch decomposition method. (English) Zbl 0905.76056 Int. J. Comput. Fluid Dyn. 8, No. 4, 299-309 (1997). MSC: 76M25 76H05 PDFBibTeX XMLCite \textit{S. S. Chu} and \textit{K. D. Lee}, Int. J. Comput. Fluid Dyn. 8, No. 4, 299--309 (1997; Zbl 0905.76056) Full Text: DOI
Loffredo, Maria I.; Ugolini, Stefania Eulerian versus Lagrangian variational principles in stochastic mechanics. (English) Zbl 0864.70009 Meccanica 31, No. 2, 195-206 (1996). MSC: 70H30 74A99 76A02 49S05 PDFBibTeX XMLCite \textit{M. I. Loffredo} and \textit{S. Ugolini}, Meccanica 31, No. 2, 195--206 (1996; Zbl 0864.70009) Full Text: DOI
Bloch, Anthony; Krishnaprasad, P. S.; Marsden, Jerrold E.; Ratiu, Tudor S. The Euler-Poincaré equations and double bracket dissipation. (English) Zbl 0846.58048 Commun. Math. Phys. 175, No. 1, 1-42 (1996). MSC: 37J40 37N99 37J99 PDFBibTeX XMLCite \textit{A. Bloch} et al., Commun. Math. Phys. 175, No. 1, 1--42 (1996; Zbl 0846.58048) Full Text: DOI
Tran-Cong, Ton A variational principle for fluid mechanics. (English) Zbl 0886.76082 Arch. Appl. Mech. 67, No. 1-2, 96-104 (1996). MSC: 76M30 49S05 80A20 PDFBibTeX XMLCite \textit{T. Tran-Cong}, Arch. Appl. Mech. 67, No. 1--2, 96--104 (1996; Zbl 0886.76082) Full Text: DOI
Smalley, Larry L.; Krisch, Jean P. Fluids with spin and twist. (English) Zbl 0826.76015 J. Math. Phys. 36, No. 2, 778-795 (1995). MSC: 76B99 58D30 86A10 85A30 PDFBibTeX XMLCite \textit{L. L. Smalley} and \textit{J. P. Krisch}, J. Math. Phys. 36, No. 2, 778--795 (1995; Zbl 0826.76015) Full Text: DOI Link
Debbasch, Fabrice Global potentials for general relativistic flows of ideal charged fluids. (English) Zbl 0817.76104 J. Math. Phys. 35, No. 11, 5718-5725 (1994). MSC: 76Y05 76W05 PDFBibTeX XMLCite \textit{F. Debbasch}, J. Math. Phys. 35, No. 11, 5718--5725 (1994; Zbl 0817.76104) Full Text: DOI
Liu, G.-L. A variable-domain variational theory using Clebsch variables for hybrid problems of 2-D transonic rotational flow. (English) Zbl 0778.76049 Acta Mech. 99, No. 1-4, 219-223 (1993). MSC: 76H05 76M30 PDFBibTeX XMLCite \textit{G. L. Liu}, Acta Mech. 99, No. 1--4, 219--223 (1993; Zbl 0778.76049) Full Text: DOI
Sieniutycz, S.; Shiner, J. S. Variational and extremum properties of homogeneous chemical kinetics. I: Lagrangian- and Hamiltonian-like formulations. (English) Zbl 0895.92038 Open Syst. Inf. Dyn. 1, No. 2, 149-182 (1992); errata ibid. 1, No. 3, 459 (1992). MSC: 92E20 49S05 82C35 80A30 PDFBibTeX XMLCite \textit{S. Sieniutycz} and \textit{J. S. Shiner}, Open Syst. Inf. Dyn. 1, No. 2, 149--182, Errata 1, No. 3, 459 (1992) (1992; Zbl 0895.92038) Full Text: DOI
Rodríguez-Núñez, José Jesus; Tello-Llanos, Ricardo Singular mechanics and Landau two-fluid model of superfluidity. (English) Zbl 0728.76126 Int. J. Theor. Phys. 30, No. 6, 857-863 (1991). MSC: 76Y05 82D50 PDFBibTeX XMLCite \textit{J. J. Rodríguez-Núñez} and \textit{R. Tello-Llanos}, Int. J. Theor. Phys. 30, No. 6, 857--863 (1991; Zbl 0728.76126) Full Text: DOI
Mathew, George; Vedan, M. J. Variational principle and conservation laws for nonbarotropic flows. (English) Zbl 0676.76005 J. Math. Phys. 30, No. 4, 949-952 (1989). MSC: 76A02 49S05 PDFBibTeX XMLCite \textit{G. Mathew} and \textit{M. J. Vedan}, J. Math. Phys. 30, No. 4, 949--952 (1989; Zbl 0676.76005) Full Text: DOI
Auchmuty, Giles Variational principles for operator equations and initial value problems. (English) Zbl 0658.47016 Nonlinear Anal., Theory Methods Appl. 12, No. 5, 531-564 (1988). Reviewer: V.A.Zagrebnov MSC: 47A50 46G05 49J52 PDFBibTeX XMLCite \textit{G. Auchmuty}, Nonlinear Anal., Theory Methods Appl. 12, No. 5, 531--564 (1988; Zbl 0658.47016) Full Text: DOI
Batra, Gautam On Hamilton’s principle for thermo-elastic fluids and solids, and internal constraints in thermo-elasticity. (English) Zbl 0634.76002 Arch. Ration. Mech. Anal. 99, 37-59 (1987). MSC: 76A05 74F05 49S05 76A02 PDFBibTeX XMLCite \textit{G. Batra}, Arch. Ration. Mech. Anal. 99, 37--59 (1987; Zbl 0634.76002) Full Text: DOI
Cendra, Hernan; Marsden, Jerrold E. Lin constraints, Clebsch potentials and variational principles. (English) Zbl 0625.58037 Physica D 27, 63-89 (1987). MSC: 58Z05 58E30 PDFBibTeX XMLCite \textit{H. Cendra} and \textit{J. E. Marsden}, Physica D 27, 63--89 (1987; Zbl 0625.58037) Full Text: DOI
Tarapov, I. E. A variational principle in the hydromechanics of an isotropically magnetizable medium. (English. Russian original) Zbl 0575.76116 J. Appl. Math. Mech. 48(1985), 275-279 (1984); translation from Prikl. Mat. Mekh. 48, 383-387 (1984). MSC: 76W05 49S05 PDFBibTeX XMLCite \textit{I. E. Tarapov}, J. Appl. Math. Mech. 48, 275--279 (1985; Zbl 0575.76116); translation from Prikl. Mat. Mekh. 48, 383--387 (1984) Full Text: DOI
Katz, J.; Lynden-Bell, D. The dynamics of isocirculational flows. (English) Zbl 0568.76104 Geophys. Astrophys. Fluid Dyn. 33, 1-33 (1985). MSC: 76U05 76B47 85A05 PDFBibTeX XMLCite \textit{J. Katz} and \textit{D. Lynden-Bell}, Geophys. Astrophys. Fluid Dyn. 33, 1--33 (1985; Zbl 0568.76104) Full Text: DOI
Künzle, H. P.; Nester, J. M. Hamiltonian formulation of gravitating perfect fluids and the Newtonian limit. (English) Zbl 0554.76099 J. Math. Phys. 25, 1009-1018 (1984). Reviewer: G.A.Maugin MSC: 76Y05 83C25 83C55 PDFBibTeX XMLCite \textit{H. P. Künzle} and \textit{J. M. Nester}, J. Math. Phys. 25, 1009--1018 (1984; Zbl 0554.76099) Full Text: DOI
Tarapov, I. E. Integrals of the equations of motion of a magnetizable ideal medium. (English. Russian original) Zbl 0549.76073 Fluid Dyn. 19, 314-318 (1984); translation from Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza 1984, No. 2, 165-169 (1984). MSC: 76W05 76E25 PDFBibTeX XMLCite \textit{I. E. Tarapov}, Fluid Dyn. 19, 314--318 (1984; Zbl 0549.76073); translation from Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza 1984, No. 2, 165--169 (1984) Full Text: DOI
Marsden, Jerrold E.; Ratiu, Tudor; Weinstein, Alan Semidirect products and reduction in mechanics. (English) Zbl 0529.58011 Trans. Am. Math. Soc. 281, 147-177 (1984). MSC: 37J99 22E70 70H05 PDFBibTeX XMLCite \textit{J. E. Marsden} et al., Trans. Am. Math. Soc. 281, 147--177 (1984; Zbl 0529.58011) Full Text: DOI
Marsden, Jerrold; Weinstein, Alan Coadjoint orbits, vortices, and Clebsch variables for incompressible fluids. (English) Zbl 0576.58008 Order in chaos, Proc. int. Conf., Los Alamos/N.M. 1982, Physica D 7, 305-323 (1983). Reviewer: Volker Perlick MSC: 37J35 76B47 22E65 58B25 22E70 PDFBibTeX XML
Salmon, Rick Practical use of Hamilton’s principle. (English) Zbl 0523.76088 J. Fluid Mech. 132, 431-444 (1983). MSC: 76U05 70H05 76M99 PDFBibTeX XMLCite \textit{R. Salmon}, J. Fluid Mech. 132, 431--444 (1983; Zbl 0523.76088) Full Text: DOI
Bampi, F.; Morro, A. The inverse problem of the calculus of variations applied to continuum physics. (English) Zbl 0502.73019 J. Math. Phys. 23, 2312-2321 (1982). MSC: 74S30 35R30 49S05 49J20 74A99 PDFBibTeX XMLCite \textit{F. Bampi} and \textit{A. Morro}, J. Math. Phys. 23, 2312--2321 (1982; Zbl 0502.73019) Full Text: DOI