Geometry growth laws for morphological change are developed and examined for the class
of dynamic problems where surface diffusion is the only transport mechanism and hence …

A solution of a partial differential equation with two real variables t and x is functionally
separable in these variables if q (u)= φ (x)+ ψ (t) for some single variable functions, q, φ and …

In this paper, we discuss the reduction to Fujita's equation for the nonlinear diffusion
equation under certain types of generalized conditional symmetry. It is shown that the …

A multiple integration technique of the integral-balance method allowing solving high-order
subdiffusion diffusion equations is presented in this article. The new method termed multiple …

In a previous paper, we solved the partial differential equation of Mullins' problem in the
case of the evaporation–condensation in electronic devices and gave an exact solution …

A multiple integration technique of the integral-balance method allowing solving high-order
diffusion equations is conceived in this note. The new method termed multiple-integral …

purpose. In glaucoma, elevated intraocular pressure causes a progressive loss of retinal
ganglion cells and results in optic neuropathy. The authors propose a potential mechanism …

Curvature evolution of plane curves with prescribed opening angle Page 1 BULL. AUSTRAL.
MATH. SOC. 35K22, 35BO5 VOL. 52 (1995) [287-296] CURVATURE EVOLUTION OF PLANE …

The fourth-order nonlinear partial differential equation for surface diffusion is approximated
by a new integrable nonlinear evolution equation. Exact solutions are obtained for thermal …

An exact solution is constructed for a Stefan problem with nonlinear heat diffusivity. A liquid
solidifies over a semi-infinite base made of a different solid material. Both solid materials …