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Archive for rational mechanics and analysis, ISSN 1432-0673, 2019, Volume 234, Issue 2, pp. 727 - 775
Journal Article
Multibody system dynamics, ISSN 1573-272X, 2018, Volume 45, Issue 1, pp. 87 - 103
It is well known that the projective Newton–Euler equation and the Lagrange equation of second kind lead to the same result when deriving the dynamical equations of motion for holonomic rigid multibody systems... 
Lagrangian dynamics | Engineering | Vibration, Dynamical Systems, Control | Spatial rigid multibody systems | Constrained motion | Automotive Engineering | Mechanical Engineering | Optimization | Electrical Engineering | Newton–Euler equations | Newton-Euler equations | MECHANICS
Journal Article
Nonlinear differential equations and applications, ISSN 1420-9004, 2018, Volume 25, Issue 5, pp. 1 - 15
...:475–485, 1985) developed for the Euler equations, we extend the formation of singularities of classical solution to the 3D Euler equations established in Makino et al. (Jpn J Appl Math 3:249–257, 1986) and Sideris (1985... 
Fast decay weight | 35L40 | Spherically symmetric solutions | Analysis | Averaged quantity | Mathematics | 35L45 | 58J45 | 58J47 | MATHEMATICS, APPLIED | Mathematics - Analysis of PDEs
Journal Article
International Journal of Modern Physics D, ISSN 0218-2718, 05/2017, Volume 26, Issue 6, p. 1750047
Mathisson–Papapetrou–Tulczyjew–Dixon (MPTD) equations in the Lagrangian formulation correspond to the minimal interaction of spin with gravity... 
Spinning particle | ultra-relativistic motion | gravimagnetic moment | FIELDS | GENERAL-RELATIVITY | SPIN | PARTICLES | FRENKEL ELECTRON | RADIATION | MOTION | ASTRONOMY & ASTROPHYSICS | BODIES | COMPACT BINARY-SYSTEMS
Journal Article
Nonlinear dynamics, ISSN 1573-269X, 2015, Volume 80, Issue 1-2, pp. 791 - 802
Journal Article
Archive for Rational Mechanics and Analysis, ISSN 0003-9527, 1/2017, Volume 223, Issue 1, pp. 301 - 417
Journal Article
2008, ISBN 9812832521, xii, 562
Book
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 03/2013, Volume 399, Issue 1, pp. 239 - 251
...–Lagrange equations of the type: (ELα)∂L∂x(u,D−αu,t)+D+α(∂L∂y(u,D−αu,t))=0, on a real interval [a,b] and where D−α and D+α... 
Fractional Euler–Lagrange equations | Fractional variational calculus | Existence | Fractional Euler-Lagrange equations | MATHEMATICS | MATHEMATICS, APPLIED | MECHANICS | CALCULUS | DIFFERENTIAL-EQUATIONS | FORMULATION | DERIVATIVES
Journal Article
Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences, ISSN 1471-2946, 2017, Volume 473, Issue 2200, p. 20170063
Starting from the Euler equation expressed in a rotating frame in spherical coordinates, coupled with the equation of mass conservation and the appropriate boundary conditions, a thin-layer (i.e. shallow water... 
Spherical coordinates | Euler equations | Gyres | gyres | spherical coordinates | MULTIDISCIPLINARY SCIENCES | 1008 | 119 | 140
Journal Article
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, ISSN 1364-503X, 04/2018, Volume 376, Issue 2118, p. 20170222
This paper addresses the main issue of Hilbert's sixth problem, namely the rigorous passage of solutions to the mesoscopic Boltzmann equation to macroscopic solutions of the Euler equations of compressible gas dynamics... 
Boltzmann equation | Kinetic equations | Capillarity | Korteweg equations | Navier-Stokes equations | MULTIDISCIPLINARY SCIENCES | HYDRODYNAMICS | RAREFIED-GAS | kinetic equations | NUMERICAL-ANALYSIS | capillarity | NONUNIFORM SYSTEM | THERMAL CREEP | FLOWS | FREE-ENERGY | EQUATION | VELOCITIES | Navier–Stokes equations | 1009
Journal Article
Computers & mathematics with applications (1987), ISSN 0898-1221, 2019, Volume 77, Issue 4, pp. 1216 - 1231
.... By realizing that the excessive numerical dissipations corresponding to the velocity-difference terms of the momentum equations make these schemes incapable of obtaining physical solutions at low... 
HLLEMS-AS | Shock anomaly | All speeds | Computational fluid dynamics | UPWIND SCHEMES | MATHEMATICS, APPLIED | ACCURATE | RIEMANN SOLVER | PRESSURE FLUX | BEHAVIOR | FORMULATION | GODUNOV-TYPE METHODS | IMPROVEMENT | FLOWS | EFFICIENT | Discontinuity | Sound waves | Turbulent flow | Robustness (mathematics) | Energy dissipation | Low speed | Inviscid flow | Aerodynamics | Euler-Lagrange equation | Cylinders
Journal Article
The Astrophysical journal, ISSN 1538-4357, 05/2019, Volume 877, Issue 2, p. 113
We investigate the vorticity-preserving properties of the compressible, second-order residual-based scheme, “RBV2.” The scheme has been extensively tested on... 
Turbulence | Turbulent flow | Accretion | Compressibility | Computer simulation | Computational fluid dynamics | Shear flow | Fluid flow | Exact solutions | Protoplanetary disk | Aerodynamics | Euler-Lagrange equation | Accretion disks | Vortexes | Finite element method | Algorithms | Wavelengths | Mathematical analysis | Energy dissipation | Vortices | Vorticity | Acceleration
Journal Article
AIAA Journal, ISSN 0001-1452, 11/2018, Volume 56, Issue 11, pp. 4437 - 4452
This study analyzes the behavior of solutions to the quasi-one-dimensional and two-dimensional adjoint Euler equations at singularities, including shocks, sonic points/lines, and sharp trailing edges... 
SHAPE OPTIMIZATION | MESHES | APPROXIMATIONS | UNSTRUCTURED GRIDS | ADAPTATION | SENSITIVITIES | CONVERGENCE | AERODYNAMIC DESIGN OPTIMIZATION | FLOWS | ENGINEERING, AEROSPACE | FORMULATION | Economic models | Numerical analysis | Singularities | Euler-Lagrange equation | Dimensional analysis
Journal Article
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, ISSN 0218-2025, 03/2019, Volume 29, Issue 3, pp. 531 - 579
...) proposed by Chandrasekhar [S. Chandrasekhar, The post-Newtonian equations of hydrodynamics in general relativity, Astrophys. J. 142 (1965) 1488-1512... 
SMOOTH SOLUTIONS | MATHEMATICS, APPLIED | physical vacuum | Relativistic Euler equations | STABILITY | POST-NEWTONIAN EQUATIONS | HYDRODYNAMICS | WELL-POSEDNESS | CONSERVATION-LAWS | non-relativistic limits | local smooth solution | GLOBAL ENTROPY SOLUTIONS
Journal Article