Weak solutions for the electrophoretic motion of charged particles



Document title: Weak solutions for the electrophoretic motion of charged particles
Journal: Computational & applied mathematics
Database: PERIÓDICA
System number: 000310704
ISSN: 0101-8205
Authors: 1
2
Institutions: 1Universidade Federal de Santa Catarina, Departamento de Matematica, Florianopolis, Santa Catarina. Brasil
2Universidade Federal do Rio Grande do Sul, Instituto de Matematica, Porto Alegre, Rio Grande do Sul. Brasil
Year:
Volumen: 25
Number: 1
Pages: 1-26
Country: Brasil
Language: Inglés
Document type: Artículo
Approach: Experimental, analítico
English abstract We introduce a weak formulation for a system of electrostatic and hydrodynamic equations modelling the electrophoretic motion of charged particles in ionized fluids. We obtain a local in time existence theorem, using the results established in [11] and properties of the solutions of the Poisson-Boltzmann equation. These properties follows from singular integral operators techniques
Disciplines: Física y astronomía,
Matemáticas
Keyword: Física,
Matemáticas aplicadas,
Operadores singulares integrales,
Ecuación de Poisson-Boltzmann,
Problema de Stokes,
Electroforesis
Keyword: Physics and astronomy,
Mathematics,
Physics,
Applied mathematics,
Poisson-Boltzmann equation,
Singular integral operators,
Stokes problem,
Electrophoresis
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