Results 11 to 20 of about 353 (53)
Asymptotic behavior of solutions of the damped Boussinesq equation in two space dimensions
International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 1, Page 131-145, 1999., 1999 The Cauchy problem for the damped Boussinesq equation with small initial data is considered in two space dimensions. Existence and uniqueness of its classical solution is proved and the solution is constructed in the form of a series. The major term of its long‐time asymptotics is calculated explicitly and a uniform in space estimate of the residual ...
Vladimir V. Varlamov
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Existence of periodic traveling wave solutions to the generalized forced Boussinesq equation
International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 3, Page 643-648, 1999., 1999 The generalized forced Boussinesq equation, utt − uxx + [f(u)]xx + uxxxx = h0, and its periodic traveling wave solutions are considered. Using the transform z = x − ωt, the equation is converted to a nonlinear ordinary differential equation with periodic boundary conditions.
Kenneth L. Jones, Yunkai Chen
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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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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
wiley +1 more source
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
wiley +1 more source
Reducing complexity of multiagent systems with symmetry breaking: an application to opinion dynamics with polls [PDF]
, 2017 In this paper we investigate the possibility of reducing the complexity of a system composed of a large number of interacting agents, whose dynamics feature a symmetry breaking.
Cristiani, Emiliano, Tosin, Andrea
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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
wiley +1 more source
A mathematical PDE perspective on the Chapman–Enskog expansion
, 2013 This paper presents in a synthetic way some recent advances on hydrodynamic limits of the Boltzmann equation. It aims at bringing a new light to these results by placing them in the more general framework of asymptotic expansions of Chapman–Enskog type ...
L. Saint-Raymond
semanticscholar +1 more source
Rigorous derivation of a binary-ternary Boltzmann equation for a non ideal gas of hard spheres
Forum of Mathematics, SigmaThis paper focuses on dynamics of systems of particles that allow interactions beyond binary, and their behavior as the number of particles goes to infinity.
Ioakeim Ampatzoglou, Nataša Pavlović
doaj +1 more source
Dispersionless Hierarchies, Hamilton-Jacobi Theory and Twistor Correspondences
, 1997 The dispersionless KP and Toda hierarchies possess an underlying twistorial structure. A twistorial approach is partly implemented by the method of Riemann-Hilbert problem. This is however still short of clarifying geometric ingredients of twistor theory,
Boyer +30 more
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