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Article
Certain reducible helical hydromagnetic flows
Intrinsic formulations are obtained of the equations governing three-dimensional steady flows of an inviscid magnetic fluid with infinite electrical conductivity both when the streamlines of the magnetic field H ...
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Article
Substitution principles in nonsteady magneto-gasdynamics
General substitution principles are established in nonsteady magneto-gasdynamics. The theorems presented include previous results as particular cases. A class of nonsteady magnetic substitute flows is construc...
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Article
Inelastic scattering of medium-energy pions from carbon
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Article
The construction of invariant transformations in plane rotational gasdynamics
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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
On a class of non-linear filtration laws
Non-linear filtration is of considerable practical importance, since it arises, in particular, in connection with oil drilling operations. Thus, for example, flows of paraffin-based oils, of oils containing as...
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Article
Antiplane deformations of inhomogeneous elastic materials
The system of equations governing antiplane deformations of inhomogeneous elastic media is examined with a view to achieving its reduction to a canonical form associated with the Cauchy-Riemann system.
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Article
Transient displacement and stress in non-homogeneous elastic shells
Transient displacement and stress in thick inhomogeneous cylindrical and spherical shells is investigated for situations when the surfaces are subjected to dynamic loads consistent with the production of radia...
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Article
Antiplane crack problems for an inhomogeneous elastic material
This paper examines some antiplane crack problems in an elastic material with variable shear modulus. An expression for the energy release rate is obtained for each of the cracks considered and a comparison ma...
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Article
Cylindrical impact waves in inhomogeneous viscoelastic media
A detailed study is presented of cylindrical shear waves in inhomogeneous Maxwellian viscoelastic materials whose parameters depend continuously on a single radial coordinate. A formal asymptotic technique is ...
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Article
The Burgers hierarchy: on nonlinear initial and boundary value problems
Systems of nonlinear equations of the Burgers-hierarchy type are reduced to linear canonical form via Bäcklund transformations with a view to the treatment of initial and nonlinear boundary value problems.
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Article
Primary culture of capillary endothelial cells from the spiral ligament and stria vascularis of bovine inner ear
Methods for isolation and culture of microvascular endothelial cells of the inner ear were devised to provide an in-vitro system for studying endothelial functions in this tissue. Capillaries from the stria va...
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Article
A reciprocal Bäcklund transformation: Application to a nonlinear hyperbolic model in heat conduction
An involutory Bäcklund transformation is used to linearize a class of nonlinear evolution equations. Application is made to a recent model in nonlinear heat conduction.
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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
On reciprocal auto-Bäcklund transformations: Application to a new nonlinear hierarchy
A hierarchy of nonlinear evolution equations based on the IKW nonlinear oscillation equation is shown to be invariant under a reciprocal Bäcklund transformation. This result is seen to be a consequence of a si...
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Chapter and Conference Paper
Carbon Grains in the Circumstellar Envelope of IRC +10 216
We have made models of the spectral and spatial distribution of radiation from circumstellar grains in IRC +10 216, incorporating new opacity laws for graphite and amorphous carbon; graphite still seems less s...
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Article
On a nonlinear moving boundary problem with heterogeneity: application of a reciprocal transformation
A nonlinear problem of Stefan-type is analysed. An exact solution is obtained by means of a reciprocal transformation.
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Article
Vascular injury in acute gastric mucosal damage
Recent investigations indicate that microvascular injury, leading to increased vascular permeability and capillary stasis, precede the development of chemically induced hemorrhagic mucosal lesions in the stoma...
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Chapter and Conference Paper
Observations of HCO+ in B335
We present HCO+ observations of B335 by JCMT. They show that there is warm gas in the central region and a steep excitation gradient.
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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...
