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2018, First edition., ISBN 0198794924, 162 pages
Book
2017, First edition., ISBN 9780465093779, viii, 221 pages
"Bertrand Russell wrote that mathematics can exalt "as surely as poetry." This is especially true of one equation: ei(pi) + 1... 
Mathematics | Euler's numbers | Euler, Leonhard, 1707-1783 | History | Numbers, Complex
Book
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
Journal of computational and applied mathematics, ISSN 0377-0427, 2015, Volume 290, pp. 370 - 384
Influenced by Higham et al. (2003), several numerical methods have been developed to study the strong convergence of the numerical solutions to stochastic differential equations (SDEs... 
Local Lipschitz condition | Strong convergence | Khasminskii-type condition | Truncated Euler–Maruyama method | Stochastic differential equation | Truncated Euler-Maruyama method | MATHEMATICS, APPLIED | NUMERICAL-INTEGRATION | SDES | STRONG-CONVERGENCE | Analysis | Methods | Differential equations | Lipschitz condition | Numerical analysis | Computation | Nonlinearity | Mathematical models | Stochasticity | Convergence
Journal Article
Computers & fluids, ISSN 0045-7930, 10/2018, Volume 175, pp. 91 - 110
We present a numerical scheme for the solution of Euler equations based on staggered discretizations and working either on structured meshes or on general simplicial or tetrahedral/hexahedral meshes... 
Finite elements | Finite volumes | Staggered discretizations | Euler equations | Compressible flows | Analysis | DISCONTINUOUS GALERKIN METHOD | VISCOSITY | 2-DIMENSIONAL RIEMANN PROBLEMS | FLOW | GAS-DYNAMICS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MECHANICS | FLUID | CELL | Algorithms | Numerical Analysis | Mathematics
Journal Article
Constructive Approximation, ISSN 0176-4276, 2/2014, Volume 39, Issue 1, pp. 75 - 83
Journal Article
Mathematische Zeitschrift, ISSN 0025-5874, 12/2011, Volume 269, Issue 3, pp. 1137 - 1153
In this paper we present a geometric interpretation of the Degasperis–Procesi (DP) equation as the geodesic flow of a right-invariant symmetric linear connection on the diffeomorphism group of the circle... 
Euler equation | 58D05 | Mathematics, general | Diffeomorphisms group of the circle | Mathematics | Degasperis–Procesi equation | 35Q53 | Degasperis-Procesi equation | MATHEMATICS | WATER-WAVES | CAMASSA-HOLM | MOTION | GEODESIC-FLOW | BLOW-UP PHENOMENA | WELL-POSEDNESS | WAVE BREAKING | SHOCK-WAVES | Mathematical Physics | Physics
Journal Article
Physica. D, ISSN 0167-2789, 2009, Volume 238, Issue 19, pp. 1975 - 1991
We consider Prandtl’s equations for an impulsively started disk and follow the process of the formation of the singularity in the complex plane using the singularity tracking method... 
Blow–up time | Separation | Complex singularities | Prandtl’s equations | Spectral methods | Regularizing viscosity | Blow-up time | Prandtl's equations | EXISTENCE | MATHEMATICS, APPLIED | INCOMPRESSIBLE EULER EQUATIONS | PHYSICS, MULTIDISCIPLINARY | ZERO VISCOSITY LIMIT | PHYSICS, MATHEMATICAL | FLOW | BOUNDARY-LAYER EQUATIONS | ANALYTIC SOLUTIONS | UNSTEADY SEPARATION | HALF-SPACE | NAVIER-STOKES SOLUTIONS
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
Journal of Differential Equations, ISSN 0022-0396, 2019, Volume 266, Issue 7, pp. 3942 - 3972
We consider stationary axisymmetric solutions of the Euler–Poisson equations, which govern the internal structure of barotropic gaseous stars... 
Nonlinear integral equation | Euler–Poisson equations | Axisymmetric solutions | Free boundary | Stellar rotation | EXISTENCE | MATHEMATICS | Euler-Poisson equations | STARS | Mathematics - Analysis of PDEs
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
International journal of non-linear mechanics, ISSN 0020-7462, 11/2016, Volume 86, pp. 185 - 195
The observation that the hyperbolic shallow water equations and the Green–Naghdi equations in Lagrangian coordinates have the form of an Euler... 
Green–Naghdi model | Lie group | Noether's theorem | Hyperbolic shallow water equations | Invariant solution | MECHANICS | Green-Naghdi model | Environmental law | Analysis
Journal Article