Modelling surface runoff and infiltration of rain by an elliptic-parabolic equation coupled with a first-order equation on the boundary

DOI10.1007/s002050050140zbMath0963.76086OpenAlexW2057987041MaRDI QIDQ1300699

Ján Filo, Stephan Luckhaus

Publication date: 25 June 2001

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002050050140

zbMATH Keywords

weak solutionexistenceuniquenessasymptotic analysisresistancehydraulic conductivityinfiltrationpollutantselliptic-parabolic equationstwo small parametersboundary value problems for first-order quasilinear equationscontinuous dependence of solution on initial datalateral flowsaturation of porous medium

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Flows in porous media; filtration; seepage (76S05) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45)

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