The Cahn–Hilliard model with reaction terms can lead to situations in which no coarsening is taking place and, in contrast, growth and division of droplets occur which all do not grow larger than a certain size.
Harald Garcke +3 more
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A free boundary model for transport-induced neurite growth
We introduce a free boundary model to study the effect of vesicle transport onto neurite growth. It consists of systems of drift-diffusion equations describing the evolution of the density of antero- and retrograde vesicles in each neurite coupled to ...
Greta Marino +2 more
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Bifurcation analysis of a free boundary model of vascular tumor growth with a necrotic core and chemotaxis. [PDF]
Lu MJ, Hao W, Hu B, Li S.
europepmc +1 more source
An initial-boundary value problem for the one-dimensional non-classical heat equation in a slab
Nonlinear problems for the one-dimensional heat equation in a bounded and homogeneous medium with temperature data on the boundaries x = 0 and x = 1, and a uniform spatial heat source depending on the heat flux (or the temperature) on the boundary x = 0 ...
Salva Natalia +2 more
doaj
Free surface equatorial flows in spherical coordinates with discontinuous stratification depending on depth and latitude. [PDF]
Martin C, Petruşel A.
europepmc +1 more source
An existence result for an interior electromagnetic casting problem
Barkatou Mohammed +2 more
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Estimates for capacity and discrepancy of convex surfaces in sieve-like domains with an application to homogenization. [PDF]
Karakhanyan AL, Strömqvist M.
europepmc +1 more source
The uniqueness of a nonlinear diffusion equation related to the p-Laplacian. [PDF]
Zhan H.
europepmc +1 more source
Conformal Geometry and the Composite Membrane Problem
Chanillo Sagun
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On the evolutionary p-Laplacian equation with a partial boundary value condition. [PDF]
Zhan H.
europepmc +1 more source

