A SIMILARITY SOLUTION TO A PROBLEM IN NONLINEAR ION TRANSPORT WITH A NONLOCAL CONDITION

DOI10.1142/S0218202599000221zbMath0933.35087MaRDI QIDQ4270575

Steve Cohn, Kristin Pfabe, J. Redepenning

Publication date: 22 November 1999

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

similarity solutionnonlocal conditionelectrochemistrylinear initial-boundary value problemmass and charge transport

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Initial-boundary value problems for second-order parabolic equations (35K20) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

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Modeling and computer simulation of the identification problem related to the sludge concentration in a settler ⋮ On a quasilinear nonlocal Benney system ⋮ Identification of unknown diffusion and convection coefficients in ion transport problems from flux data: An analytical approach ⋮ Analytical formulaes and comparative analysis for linear models in chronoamperometry under conditions of diffusion and migration ⋮ Relationship between current response and time in ion transport problem including diffusion and convection. II: Numerical approach ⋮ An analysis of nonlinear ion transport problem including arbitrary valences of oxidized and reduced species ⋮ An inverse coefficient problem with nonlinear parabolic equation ⋮ Numerical solution of a nonlocal identification problem for nonlinear ion transport ⋮ An analysis of nonlinear ion transport model including diffusion and migration ⋮ Semilinear parabolic problems with nonlocal Dirichlet boundary conditions

Cites Work

• Flow and reactive transport in porous media induced by well injection: Similarity solution
• EXISTENCE OF A SOLUTION IN AN AGE-DEPENDENT TRANSPORT-DIFFUSION PDE: A MODEL OF SETTLER

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