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Applicable Analysis
An International Journal
Volume 89, 2010 - Issue 1
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Original Articles

Asymptotic analysis of the Stokes problem on general bounded domains: the case of a characteristic boundary

Gung-Min Gie The Institute for Scientific Computing and Applied Mathematics, Indiana University, 831 East Third Street, Bloomington, IN 47405, USACorrespondence[email protected]
,
Makram Hamouda The Institute for Scientific Computing and Applied Mathematics, Indiana University, 831 East Third Street, Bloomington, IN 47405, USA; Faculty of Sciences at Bizerte, Department of Mathematics, University of 7 November at Carthage, 7021 Zarzouna, Bizerte, Tunisia
&
Roger Temam The Institute for Scientific Computing and Applied Mathematics, Indiana University, 831 East Third Street, Bloomington, IN 47405, USA
Pages 49-66 | Received 22 Jul 2009, Accepted 09 Oct 2009, Published online: 19 Jan 2010

Citations (13)

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Read on this site (1)

Jose Diaz-Alban & Nader Masmoudi. (2014) Asymptotic Analysis of Acoustic Waves in a Porous Medium: Microincompressible Flow. Communications in Partial Differential Equations 39:11, pages 2125-2167.
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Articles from other publishers (12)

Eric W. Hester & Geoffrey M. Vasil. (2023) Orthogonal signed-distance coordinates and vector calculus near evolving curves and surfaces. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 479:2277.
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Gung-Min Gie, Makram Hamouda, Chang-Yeol Jung & Roger M. TemamGung-Min Gie, Makram Hamouda, Chang-Yeol Jung & Roger M. Temam. 2018. Singular Perturbations and Boundary Layers. Singular Perturbations and Boundary Layers 251 305 .
Makram Hamouda, Chang-Yeol Jung & Roger Temam. (2016) Existence and Regularity Results for the Inviscid Primitive Equations with Lateral Periodicity. Applied Mathematics & Optimization 73:3, pages 501-522.
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Roger Temam, Chang-Yeol Jung & Gung-Min Gie. (2015) Recent progresses in boundary layer theory. Discrete and Continuous Dynamical Systems 36:5, pages 2521-2583.
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Makram Hamouda & Abir Sboui. (2015) Boundary layers generated by singularities in the source function. Asymptotic Analysis 93:4, pages 281-310.
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Youngjoon Hong, Chang-Yeol Jung & Roger Temam. (2015) Singular perturbation analysis of time dependent convection–diffusion equations in a circle. Nonlinear Analysis: Theory, Methods & Applications 119, pages 127-148.
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Youngjoon Hong. (2014) Numerical Approximation of the Singularly Perturbed Heat Equation in a Circle. Journal of Scientific Computing 62:1, pages 1-24.
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Ch-Y Jung & R Temam. (2014) Boundary layer theory for convection-diffusion equations in a circle. Russian Mathematical Surveys 69:3, pages 435-480.
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Чанг-Юоль Юнг, Chang-Yeol Jung, Роже Темам & Roger Temam. (2014) Теория пограничного слоя для уравнений конвекции-диффузии в кругеBoundary layer theory for convection-diffusion equations in a circle. Успехи математических наук Uspekhi Matematicheskikh Nauk 69:3(417), pages 43-86.
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Tomás Chacón Rebollo & Roger LewandowskiTomás Chacón Rebollo & Roger Lewandowski. 2014. Mathematical and Numerical Foundations of Turbulence Models and Applications. Mathematical and Numerical Foundations of Turbulence Models and Applications 45 81 .
Gung-Min Gie & James P. Kelliher. (2012) Boundary layer analysis of the Navier–Stokes equations with generalized Navier boundary conditions. Journal of Differential Equations 253:6, pages 1862-1892.
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Gung-Min Gie, Makram Hamouda & Roger Temam. (2012) Asymptotic analysis of the Navier-Stokes equations in a curved domain with a non-characteristic boundary. Networks & Heterogeneous Media 7:4, pages 741-766.
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