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Complex Fluid Models of Mixed Quantum–Classical Dynamics.
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- Journal of Nonlinear Science, 2024, v. 34, n. 5, p. 1, doi. 10.1007/s00332-024-10044-4
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General Relativistic Lagrangian Continuum Theories Part I: Reduced Variational Principles and Junction Conditions for Hydrodynamics and Elasticity.
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- Journal of Nonlinear Science, 2024, v. 34, n. 3, p. 1, doi. 10.1007/s00332-024-10019-5
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Variational and thermodynamically consistent finite element discretization for heat conducting viscous fluids.
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- Mathematical Models & Methods in Applied Sciences, 2024, v. 34, n. 2, p. 243, doi. 10.1142/S0218202524500027
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Thermodynamically consistent variational theory of porous media with a breaking component.
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- Continuum Mechanics & Thermodynamics, 2024, v. 36, n. 1, p. 75, doi. 10.1007/s00161-023-01262-4
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KOOPMAN WAVEFUNCTIONS AND CLASSICAL STATES IN HYBRID QUANTUM-CLASSICAL DYNAMICS.
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- Journal of Geometric Mechanics, 2022, v. 14, n. 4, p. 559, doi. 10.3934/jgm.2022019
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Unified Discrete Multisymplectic Lagrangian Formulation for Hyperelastic Solids and Barotropic Fluids.
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- Journal of Nonlinear Science, 2022, v. 32, n. 6, p. 1, doi. 10.1007/s00332-022-09849-y
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A structure-preserving finite element method for compressible ideal and resistive magnetohydrodynamics.
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- Journal of Plasma Physics, 2021, v. 87, n. 5, p. 1, doi. 10.1017/S0022377821000842
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A Variational Finite Element Discretization of Compressible Flow.
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- Foundations of Computational Mathematics, 2021, v. 21, n. 4, p. 961, doi. 10.1007/s10208-020-09473-w
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Connecting mem-models with classical theories.
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- Nonlinear Dynamics, 2021, v. 103, n. 2, p. 1321, doi. 10.1007/s11071-020-06084-6
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Geometric variational approach to the dynamics of porous medium, filled with incompressible fluid.
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- Acta Mechanica, 2020, v. 231, n. 9, p. 3897, doi. 10.1007/s00707-020-02726-3
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Lie Group Cohomology and (Multi)Symplectic Integrators: New Geometric Tools for Lie Group Machine Learning Based on Souriau Geometric Statistical Mechanics.
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- Entropy, 2020, v. 22, n. 5, p. 498, doi. 10.3390/e22050498
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Variational integrators for anelastic and pseudo-incompressible flows.
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- Journal of Geometric Mechanics, 2019, v. 11, n. 4, p. 511, doi. 10.3934/jgm.2019025
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Geometric Theory of Flexible and Expandable Tubes Conveying Fluid: Equations, Solutions and Shock Waves.
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- Journal of Nonlinear Science, 2019, v. 29, n. 2, p. 377, doi. 10.1007/s00332-018-9491-9
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Variational integrator for the rotating shallow‐water equations on the sphere.
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- Quarterly Journal of the Royal Meteorological Society, 2019, v. 145, n. 720, p. 1070, doi. 10.1002/qj.3477
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On choosing state variables for piecewise-smooth dynamical system simulations.
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- Nonlinear Dynamics, 2019, v. 95, n. 2, p. 1165, doi. 10.1007/s11071-018-4622-2
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A free energy Lagrangian variational formulation of the Navier–Stokes–Fourier system.
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- International Journal of Geometric Methods in Modern Physics, 2019, v. 16, p. N.PAG, doi. 10.1142/S0219887819400061
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From Lagrangian Mechanics to Nonequilibrium Thermodynamics: A Variational Perspective.
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- Entropy, 2019, v. 21, n. 1, p. 8, doi. 10.3390/e21010008
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Stochastic Geometric Models with Non-stationary Spatial Correlations in Lagrangian Fluid Flows.
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- Journal of Nonlinear Science, 2018, v. 28, n. 3, p. 873, doi. 10.1007/s00332-017-9431-0
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A Variational Formulation of Nonequilibrium Thermodynamics for Discrete Open Systems with Mass and Heat Transfer.
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- Entropy, 2018, v. 20, n. 3, p. 163, doi. 10.3390/e20030163
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The Geometric Nature of the Flaschka Transformation.
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- Communications in Mathematical Physics, 2017, v. 352, n. 2, p. 457, doi. 10.1007/s00220-017-2854-5
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Dual input-output pairs for modeling hysteresis inspired by mem-models.
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- Nonlinear Dynamics, 2017, v. 88, n. 4, p. 2435, doi. 10.1007/s11071-017-3388-2
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On Noisy Extensions of Nonholonomic Constraints.
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- Journal of Nonlinear Science, 2016, v. 26, n. 6, p. 1571, doi. 10.1007/s00332-016-9313-x
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Multisymplectic variational integrators and space/time symplecticity.
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- Analysis & Applications, 2016, v. 14, n. 3, p. 341, doi. 10.1142/S0219530515500025
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A dual pair for free boundary fluids.
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- International Journal of Geometric Methods in Modern Physics, 2015, v. 12, n. 7, p. -1, doi. 10.1142/S0219887815500681
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On Flexible Tubes Conveying Fluid: Geometric Nonlinear Theory, Stability and Dynamics.
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- Journal of Nonlinear Science, 2015, v. 25, n. 4, p. 889, doi. 10.1007/s00332-015-9246-9
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Lagrangian Reductions and Integrable Systems in Condensed Matter.
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- Communications in Mathematical Physics, 2015, v. 335, n. 2, p. 609, doi. 10.1007/s00220-015-2317-9
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Understanding memristors and memcapacitors in engineering mechanics applications.
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- Nonlinear Dynamics, 2015, v. 80, n. 1/2, p. 457, doi. 10.1007/s11071-014-1882-3
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Equivalent Theories of Liquid Crystal Dynamics.
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- Archive for Rational Mechanics & Analysis, 2013, v. 210, n. 3, p. 773, doi. 10.1007/s00205-013-0673-1
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GEOMETRIC DYNAMICS ON THE AUTOMORPHISM GROUP OF PRINCIPAL BUNDLES: GEODESIC FLOWS, DUAL PAIRS AND CHROMOMORPHISM GROUPS.
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- Journal of Geometric Mechanics, 2013, v. 5, n. 1, p. 39, doi. 10.3934/jgm.2013.5.39
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Euler-Poincaré Approaches to Nematodynamics.
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- Acta Applicandae Mathematicae, 2012, v. 120, n. 1, p. 127, doi. 10.1007/s10440-012-9719-x
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Reduced Variational Formulations in Free Boundary Continuum Mechanics.
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- Journal of Nonlinear Science, 2012, v. 22, n. 4, p. 463, doi. 10.1007/s00332-012-9143-4
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Invariant Higher-Order Variational Problems II.
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- Journal of Nonlinear Science, 2012, v. 22, n. 4, p. 553, doi. 10.1007/s00332-012-9137-2
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Higher order Lagrange-Poincaré and Hamilton-Poincaré reductions.
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- Bulletin of the Brazilian Mathematical Society, 2011, v. 42, n. 4, p. 579, doi. 10.1007/s00574-011-0030-7
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Symmetry Reduced Dynamics of Charged Molecular Strands.
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- Archive for Rational Mechanics & Analysis, 2010, v. 197, n. 3, p. 811, doi. 10.1007/s00205-010-0305-y
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WELL-POSEDNESS OF HIGHER DIMENSIONAL CAMASSA-HOLM EQUATIONS.
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- Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics, 2009, v. 2, n. 51, p. 55
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Group actions on chains of Banach manifolds and applications to fluid dynamics.
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- Annals of Global Analysis & Geometry, 2007, v. 31, n. 3, p. 287, doi. 10.1007/s10455-007-9061-0
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