Results 11 to 20 of about 667 (82)
Nearly conconcentric Korteweg‐de Vries equation and periodic traveling wave solution
International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 1, Page 183-187, 1998., 1998 The generalized nearly concentric Korteweg‐de Vries equation is considered. The author converts the equation into the power Kadomtsev‐Petviashvili equation . Solitary wave solutions and cnoidal wave solutions are obtained. The cnoidal wave solutions are shown to be representable as infinite sums of solitons by using Fourier series expansions and ...
Yunkai Chen
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Developments of the Hilbert Methods in the Kinetic Theory for Active Particles: Derivation of Cross Diffusion Models [PDF]
, 2017 probèlme de copier coller machine ...
BELLOMO, Nicola, CHOUHAD, N.
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Variational Principles for Water Waves [PDF]
SIAM journal on mathematical analysis 38 (3) (2006) pp. 906-920, 2007 We describe the Hamiltonian structures, including the Poisson brackets and Hamiltonians, for free boundary problems for incompressible fluid flows with vorticity. The Hamiltonian structure is used to obtain variational principles for stationary gravity waves both for irrotational flows as well as flows with vorticity.
arxiv +1 more source
Abstract and Applied Analysis, Volume 2, Issue 3-4, Page 281-299, 1997., 1997 For the damped Boussinesq equation , the second initial‐boundary value problem is considered with small initial data. Its classical solution is constructed in the form of a series in small parameter present in the initial conditions and the uniqueness of solutions is proved. The long‐time asymptotics is obtained in the explicit form and the question of
Vladimir V. Varlamov
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Alexandria Engineering Journal, 2022 The space–time fractional coupled modified equal-width equation and the coupled Boussinesq equation are a category of fractional partial differential equations, which might be crucial mathematical feathers in nonlinear optics, solid-state physics ...
M. Ayesha Khatun +4 more
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Conservation laws for incompressible fluids
International Journal of Mathematics and Mathematical Sciences, Volume 12, Issue 2, Page 377-384, 1989., 1989 By means of a direct approach, a complete set of conservation laws for incompressible fluids is determined. The problem is solved in the material (Lagrangian) description and the results are eventually rewritten in the spatial (Eulerian) formulation. A new infinite family of conservation laws is determined, besides those for linear momentum, angular ...
G. Caviglia, A. Morro
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Asymptotic-preserving exponential methods for the quantum Boltzmann equation with high-order accuracy [PDF]
, 2013 In this paper we develop high-order asymptotic-preserving methods for the spatially inhomogeneous quantum Boltzmann equation. We follow the work in Li and Pareschi, where asymptotic preserving exponential Runge-Kutta methods for the classical ...
Hu, Jingwei, Li, Qin, Pareschi, Lorenzo
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, 2018 This paper presents an analysis of the stability and accuracy of different Lattice Boltzmann schemes when employed for direct numerical simulations of turbulent flows.
P. Nathen +3 more
semanticscholar +1 more source
On singularities of capillary surfaces in the absence of gravity
International Journal of Mathematics and Mathematical Sciences, Volume 6, Issue 1, Page 81-87, 1983., 1983 We study numerical solutions to the equation of capillary surfaces in trapezoidal domains in the absence of gravity when the boundary contact angle declines from 90° to some critical value. We also discuss a result on the behavior of solutions in more general domains that confirms numerical calculations.
V. Roytburd
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Partial Differential Equations in Applied Mathematics, 2023 In a range of nonlinear fields, for example molecular biology, physics in plasma, quantum mechanics, elastic media, nonlinear optics, the surface of water waves, and others, many complicated nonlinear behaviors can be pronounced using nonlinear ...
U.H.M. Zaman +3 more
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