Results 71 to 80 of about 117 (113)
A free boundary model for transport-induced neurite growth
European Journal of Applied MathematicsWe 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
doaj +1 more source
Free surface equatorial flows in spherical coordinates with discontinuous stratification depending on depth and latitude. [PDF]
Ann Mat Pura Appl, 2022 Martin C, Petruşel A.
europepmc +1 more source
A transport formulation of moving fronts and application to dislocations dynamics
, 2007 In this article, we consider hypersurfaces moving with normal velocity depending on the timespace coordinates and on the normal to the hypersurface. We naturally define a measure associated to this hypersurface.
R. Monneau
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Second-Order Phase Field Asymptotics For Unequal Conductivities
, 2007 . We extend Karma and Rappel's improved asymptotic analysis of the phase field model to different diffusivities in solid and liquid. We consider both second-order "classical" asymptotics, in which the interface thickness is taken much ...
Robert F. Almgren
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LOCAL SET APPROXIMATION: MATTILA–VUORINEN TYPE SETS, REIFENBERG TYPE SETS, AND TANGENT SETS
, 2014 We investigate the interplay between the local and asymptotic geometry of a set A ⊆ Rn and the geometry of model sets S ⊂ P(Rn), which approximate A locally uniformly on small scales.
Matthew Badger, Stephen Lewis
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On the Dissolution-Growth Process of a Grain: Large Time Behavior and Special Solutions.
, 2007 : We study here the large time behavior of the radius R(t) of a spherical grain in a dilute solution of the same substance. The evolution in time of the grain is governed by a reaction-diffusion process in the liquid phase and by a dissolution/accretion ...
Fran Coise, Thomas I. Seidman
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Classical Solutions of Multi-Dimensional Hele-Shaw Models
, 1997 . Existence and uniqueness of classical solutions for the multi-dimensional expanding Hele-Shaw problem is proved. Key words. Classical solutions, Hele-Shaw model, moving boundary problem, maximal regularity. AMS subject classifications. 35R35, 35K55,
Joachim Escher, Gieri Simonett
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MODELLING AND ANALYSIS OF DROPLET MOTION ON A PLANE
Slow motion of droplets on nonhomogeneous surfaces is modeled by a nonlocal arabolic free boundary equation. We show existence and H¨older continuity of a unique weak solution by a combination of smoothing and a variational method that can be directly ...
Śvadlenka, Karel, Omata, Seiro
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Evolution Equations for the Stefan Problem
, 2015 We study particular kind of Stefan problem and use the theory of abstract quasilinear evolution equations for its solution.
Lukarevski, Martin
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ENERGY RELEASE RATE AND STRESS INTENSITY FACTOR IN ANTIPLANE ELASTICITY
, 2010 . In the setting of antiplane linearized elasticity, we show the existence of the stress intensity factor and its relation with the energy release rate when the crack path is a C 1,1 curve. Finally, we show that the energy release rate is continuous with
Msc: 35r35, 35a35 49j45
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