5 Result(s)
within
C Rogers
Computational Mathematics and Numerical Analysis
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Article
On reduction properties in the theory of lubrication
In the case of constant film thickness, Reynolds' equation of plane lubrication theory reduces to Laplace's equation for the pressure distribution. In this paper, non-constant forms for the film thickness are ...
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Article
Padé extension of Bergman-series solutions to nonlinear boundary-value problems in heat conduction
Bergman-type series solutions involving iterated complementary error integrals are constructed for nonlinear boundary-value problems associated with heat conduction in a region bounded internally by a cylindri...
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Article
Exact solutions for vertical drainage and redistribution in soils
We solve a versatile nonlinear convection-diffusion model for nonhysteretic redistribution of liquid in a finite vertical unsaturated porous column. With zero-flux boundary conditions, the nonlinear boundary-v...
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Article
Termination of Bergman series. Connection to the Bn Toda System
Truncation of Bergman-type series applied to a canonical hyperbolic equation is shown to lead to the integrable Bn Toda lattice. In particular, the recurrence relations for the truncated Bergman series are implie...
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Article
On q-Gaussian Integrable Hamiltonian Reductions in Anisentropic Magneto-gasdynamics
Integrable substructure in 2+1-dimensional anisentropic magneto-gasdynamics is investigated via a general elliptic vortex ansatz. The procedure involves introduction of a q-Gaussian density representation. Thermo...
