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1. Shock formation in small-data solutions to 3D quasilinear wave equations
by Speck, Jared, 1980
2016, Mathematical surveys and monographs, ISBN 1470428571, Volume 214, xxiii, 515 pages
Wave equation | Shock waves | Mathematics | Differential equations, Nonlinear | Quasilinearization | Numerical solutions
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2. Hyperbolic partial differential equations and geometric optics
by Rauch, Jeffrey
2012, Graduate studies in mathematics, ISBN 0821872915, Volume 133, xix, 363
Geometrical optics | Differential equations, Hyperbolic | Mathematics | Singularities (Mathematics) | Microlocal analysis
Book
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3. Euler's pioneering equation
: the most beautiful theorem in mathematics
by Wilson, Robin J., author
2018, First edition., ISBN 0198794924, 162 pages
Euler's numbers
Book
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4. A most elegant equation
: Euler's formula and the beauty of mathematics
by Stipp, David, author
2017, First edition., ISBN 9780465093779, viii, 221 pages
Mathematics | Euler's numbers | Euler, Leonhard, 1707-1783 | History | Numbers, Complex
Book
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5. Full Text Fractional-order Euler–Lagrange equations and formulation of Hamiltonian equations
by Herzallah, Mohamed A. E and Baleanu, Dumitru
Nonlinear dynamics, ISSN 0924-090X, 10/2009, Volume 58, Issue 1, pp. 385 - 391
Fractional Hamiltonian equations | Engineering | Vibration, Dynamical Systems, Control | Fractional integral | Mechanics | Automotive Engineering | Mechanical Engineering | Fractional derivative | Fractional calculus of variations | Technology | Engineering, Mechanical | Science & Technology | Emergency medical services | Universities and colleges | Euler-Lagrange equation | Mathematical analysis
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6. Full Text Vanishing Viscosity Limit of the Navier–Stokes Equations to the Euler Equations for Compressible Fluid Flow with Vacuum
by Geng, Yongcai and Li, Yachun and Zhu, Shengguo
Archive for rational mechanics and analysis, ISSN 0003-9527, 11/2019, Volume 234, Issue 2, pp. 727 - 775
Physics, general | Fluid- and Aerodynamics | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | Classical Mechanics | Mechanics | Physical Sciences | Mathematics | Mathematics, Applied | Technology | Science & Technology | Viscosity | Three dimensional flow | Fluid dynamics | Mathematical analysis | Fluid flow | Inviscid flow | Euler-Lagrange equation | Navier-Stokes equations | Compressible fluids | Viscous flow
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7. Full Text Error transport equation boundary conditions for the Euler and Navier–Stokes equations
by Phillips, Tyrone S and Derlaga, Joseph M and Roy, Christopher J and Borggaard, Jeff
Journal of computational physics, ISSN 0021-9991, 02/2017, Volume 330, pp. 46 - 64
Error transport equations | Truncation error estimation | Discretization error estimation | Physical Sciences | Computer Science, Interdisciplinary Applications | Technology | Physics, Mathematical | Computer Science | Physics | Science & Technology | Fluid dynamics | Error analysis | Transport equations | Computational fluid dynamics | Fluid flow | Boundary conditions | Eulers equations | Navier Stokes equations | Euler-Lagrange equation | Burgers equation | Estimates | Discretization | Mathematical analysis | Outflow | Dirichlet problem | Inflow | Navier-Stokes equations
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8. Full Text A conservative, weakly nonlinear semi-implicit finite volume scheme for the compressible Navier−Stokes equations with general equation of state
by Dumbser, Michael and Casulli, Vincenzo
Applied mathematics and computation, ISSN 0096-3003, 01/2016, Volume 272, pp. 479 - 497
Staggered semi-implicit finite volume method | Large time steps | General equation of state (EOS) | Compressible Euler and Navier[formula omitted]Stokes equations | All Mach number flow solver | Mildly nonlinear system | Compressible Euler and Navier-Stokes equations | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Fluid dynamics | Algorithms | Mechanical engineering
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9. Full Text Exact solutions to Euler equation and Navier–Stokes equation
by Liu, Mingshuo and Li, Xinyue and Zhao, Qiulan
Zeitschrift für angewandte Mathematik und Physik, ISSN 0044-2275, 4/2019, Volume 70, Issue 2, pp. 1 - 13
Engineering | Euler equation | Lie symmetry analysis method | Mathematical Methods in Physics | Navier–Stokes equation | Bäcklund transformation | 76M60 | 35Q31 | 35Q30 | Theoretical and Applied Mechanics | 35Q51 | 35C08 | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Differential equations | Economic models | Partial differential equations | Fluid dynamics | Nonlinear differential equations | Fluid flow | Exact solutions | Euler-Lagrange equation | Generalized method of moments | Reduction | Mathematical analysis | Transformations | Navier-Stokes equations | Symmetry
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10. Full Text Stability for the quadratic derivative nonlinear Schrödinger equation and applications to the Korteweg–Kirchhoff type Euler equations for quantum hydrodynamics
by Antonelli, Paolo and Marcati, Pierangelo and Zheng, Hao
Nonlinear analysis, ISSN 0362-546X, 09/2019, Volume 186, pp. 209 - 218
Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Fluid dynamics | Operators (mathematics) | Fluid mechanics | Compressibility | Stability | Computational fluid dynamics | Nonlinear analysis | Fluid flow | Hydrodynamics | Schroedinger equation | Euler-Lagrange equation | Steady state
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11. Full Text A study of spectral element and discontinuous Galerkin methods for the Navier–Stokes equations in nonhydrostatic mesoscale atmospheric modeling: Equation sets and test cases
by Giraldo, F.X and Restelli, M
Journal of computational physics, ISSN 0021-9991, 2008, Volume 227, Issue 8, pp. 3849 - 3877
Legendre | Lagrange | Navier–Stokes | Euler | Nonhydrostatic | Compressible flow | Viscous flow | Navier-Stokes | Physical Sciences | Computer Science, Interdisciplinary Applications | Technology | Physics, Mathematical | Computer Science | Physics | Science & Technology
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12. Full Text Evolutionary equations and constraints: Maxwell equations
by Ciaglia, F. M and Di Cosmo, F and Marmo, G and Schiavone, L
Journal of mathematical physics, ISSN 0022-2488, 11/2019, Volume 60, Issue 11, p. 113503
Physical Sciences | Physics | Physics, Mathematical | Science & Technology | Magnetic flux | Electrodynamics | Inertial reference systems | Mathematical analysis | Spacetime | Maxwell's equations | Euler-Lagrange equation
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13. Full Text A rigorous proof for the equivalence of the projective Newton–Euler equations and the Lagrange equations of second kind for spatial rigid multibody systems
by Gaull, Andreas and Gaull, Andreas
Multibody system dynamics, ISSN 1384-5640, 1/2019, Volume 45, Issue 1, pp. 87 - 103
Lagrangian dynamics | Engineering | Vibration, Dynamical Systems, Control | Spatial rigid multibody systems | Constrained motion | Automotive Engineering | Mechanical Engineering | Optimization | Electrical Engineering | Newton–Euler equations | Mechanics | Technology | Science & Technology | Rigid structures | Economic models | Matrix algebra | Equivalence | Multibody systems | Mathematical analysis | Differential geometry | Euler-Lagrange equation | Equations of motion | Variational principles | Matrix methods
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14. Full Text Convergence rates of the truncated Euler–Maruyama method for stochastic differential equations
by Mao, Xuerong
Journal of computational and applied mathematics, ISSN 0377-0427, 04/2016, Volume 296, pp. 362 - 375
Local Lipschitz condition | Convergence rate | Khasminskii-type condition | Truncated Euler–Maruyama method | Stochastic differential equation | Truncated Euler-Maruyama method | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Analysis | Methods | Differential equations | Lipschitz condition | Numerical analysis | Computation | Nonlinearity | Mathematical models | Stochasticity | Convergence
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15. Full Text The truncated Euler–Maruyama method for stochastic differential equations
by Mao, Xuerong
Journal of computational and applied mathematics, ISSN 0377-0427, 12/2015, Volume 290, pp. 370 - 384
Local Lipschitz condition | Strong convergence | Khasminskii-type condition | Truncated Euler–Maruyama method | Stochastic differential equation | Truncated Euler-Maruyama method | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Analysis | Methods | Differential equations | Lipschitz condition | Numerical analysis | Computation | Nonlinearity | Mathematical models | Stochasticity | Convergence
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