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Your search keyword '"Dewey Decimal Classification::500 | Naturwissenschaften::510 | Mathematik"' showing total 2 results
Start Over Descriptor "Dewey Decimal Classification::500 | Naturwissenschaften::510 | Mathematik" Journal european journal of applied mathematics
2 results on '"Dewey Decimal Classification::500 | Naturwissenschaften::510 | Mathematik"'

1. A moving boundary problem for the Stokes equations involving osmosis

Author

Mark A. Peletier, Friedrich Lippoth, G Georg Prokert, Center for Analysis, Scientific Computing & Appl., Mathematics and Computer Science, Institute for Complex Molecular Systems, and Applied Analysis

Subjects
Osmosis, Viscous liquid, 01 natural sciences, Surface tension, Physics::Fluid Dynamics, Quantitative Biology::Subcellular Processes, Mathematics - Analysis of PDEs, variational modelling, Wellposedness, FOS: Mathematics, Osmotic pressure, Semipermeable membrane, 35R37, 35K55, 76M30, 80M30, ddc:510, 0101 mathematics, Navier–Stokes equations, Physics, Physics::Biological Physics, Semi-permeable membranes, Applied Mathematics, 010102 general mathematics, Boundary problem, moving boundary problem, Stokes equations, Mechanics, Navier Stokes equations, Dewey Decimal Classification::500 | Naturwissenschaften::510 | Mathematik, 010101 applied mathematics, maximal continuous regularity, Membrane, Moving boundary problems, osmosis, Classical solutions, Viscous liquids, Analysis of PDEs (math.AP)
Abstract

Within the framework of variational modelling we derive a one-phase moving boundary problem describing the motion of a semipermeable membrane enclosing a viscous liquid, driven by osmotic pressure and surface tension of the membrane. For this problem we prove the existence of classical solutions for a short-time. © 2015 Cambridge University Press.

Published
2016

2. Global existence for an age and spatially structured haptotaxis model with nonlinear age-boundary conditions

Author

Christoph Walker

Subjects
Tumour cell migration, Partial differential equation, Chemistry, Applied Mathematics, Cell, Motility, Cell migration, Dewey Decimal Classification::500 | Naturwissenschaften::510 | Mathematik, Haptotaxis, Cell biology, Nonlinear system, medicine.anatomical_structure, medicine, Boundary value problem, Uniqueness, ddc:510, haptotaxis, age-diffusion evolution operator, tumour invasion
Abstract

A model focusing on key components involved in tumour invasion is studied. Tumour cell migration is based on cell motility and haptotaxis, i.e., the directed migratory response of tumour cells up gradients of cell-adhesion molecules. Individual cell processes are modelled according to cell age and several tumour phenotypes are incorporated. Global existence and uniqueness of nonnegative solutions to the corresponding coupled system of nonlinear partial differential equations are shown. © 2008 Cambridge University Press.

Published
2008
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