Yang, Tong; Zhang, Zhu Linear instability analysis on compressible Navier-Stokes equations with strong boundary layer. (English) Zbl 1528.35102 Arch. Ration. Mech. Anal. 247, No. 5, Paper No. 83, 53 p. (2023). MSC: 35Q30 76N10 76N20 76G25 76E19 35B35 35A01 35A02 PDFBibTeX XMLCite \textit{T. Yang} and \textit{Z. Zhang}, Arch. Ration. Mech. Anal. 247, No. 5, Paper No. 83, 53 p. (2023; Zbl 1528.35102) Full Text: DOI arXiv
Guo, Yan; Iyer, Sameer Validity of steady Prandtl layer expansions. (English) Zbl 07749400 Commun. Pure Appl. Math. 76, No. 11, 3150-3232 (2023). MSC: 76-XX 35-XX PDFBibTeX XMLCite \textit{Y. Guo} and \textit{S. Iyer}, Commun. Pure Appl. Math. 76, No. 11, 3150--3232 (2023; Zbl 07749400) Full Text: DOI arXiv
Vasseur, Alexis F.; Yang, Jincheng Boundary vorticity estimates for Navier-Stokes and application to the inviscid limit. (English) Zbl 07723847 SIAM J. Math. Anal. 55, No. 4, 3081-3107 (2023). Reviewer: Piotr Biler (Wrocław) MSC: 35Q30 35Q31 76D05 76B03 35B65 35D30 35B40 35B44 PDFBibTeX XMLCite \textit{A. F. Vasseur} and \textit{J. Yang}, SIAM J. Math. Anal. 55, No. 4, 3081--3107 (2023; Zbl 07723847) Full Text: DOI arXiv
Kelliher, James P. The strong vanishing viscosity limit with Dirichlet boundary conditions. (English) Zbl 1520.76017 Nonlinearity 36, No. 5, 2708-2740 (2023). Reviewer: Fatma Gamze Duzgun (Ankara) MSC: 76D03 35Q30 PDFBibTeX XMLCite \textit{J. P. Kelliher}, Nonlinearity 36, No. 5, 2708--2740 (2023; Zbl 1520.76017) Full Text: DOI
Guo, Yan; Iyer, Sameer Steady Prandtl layer expansions with external forcing. (English) Zbl 1511.76022 Q. Appl. Math. 81, No. 2, 375-411 (2023). MSC: 76D10 35Q35 PDFBibTeX XMLCite \textit{Y. Guo} and \textit{S. Iyer}, Q. Appl. Math. 81, No. 2, 375--411 (2023; Zbl 1511.76022) Full Text: DOI arXiv
Chen, Robin Ming; Liang, Zhilei; Wang, Dehua A Kato-type criterion for vanishing viscosity near Onsager’s critical regularity. (English) Zbl 1505.35285 Arch. Ration. Mech. Anal. 246, No. 2-3, 535-559 (2022). MSC: 35Q30 35Q31 76D05 76B03 35B65 35D30 PDFBibTeX XMLCite \textit{R. M. Chen} et al., Arch. Ration. Mech. Anal. 246, No. 2--3, 535--559 (2022; Zbl 1505.35285) Full Text: DOI arXiv
Fan, Xiaoting; Wang, Wei Initial layer associated with Boussinesq systems for thermosolutal convection. (English) Zbl 1493.35077 Electron. J. Differ. Equ. 2022, Paper No. 33, 18 p. (2022). MSC: 35Q35 35B20 35C20 PDFBibTeX XMLCite \textit{X. Fan} and \textit{W. Wang}, Electron. J. Differ. Equ. 2022, Paper No. 33, 18 p. (2022; Zbl 1493.35077) Full Text: Link
Kukavica, Igor; Nguyen, Trinh T.; Vicol, Vlad; Wang, Fei On the Euler\(+\)Prandtl expansion for the Navier-Stokes equations. (English) Zbl 1521.76081 J. Math. Fluid Mech. 24, No. 2, Paper No. 47, 46 p. (2022). Reviewer: Piotr Biler (Wrocław) MSC: 76D03 76D10 76M45 35Q30 35Q31 PDFBibTeX XMLCite \textit{I. Kukavica} et al., J. Math. Fluid Mech. 24, No. 2, Paper No. 47, 46 p. (2022; Zbl 1521.76081) Full Text: DOI arXiv
Zang, Aibin Local well-posedness for boundary layer equations of Euler-Voigt equations in analytic setting. (English) Zbl 1513.76074 J. Differ. Equations 307, 1-28 (2022). MSC: 76D10 35Q31 76D05 PDFBibTeX XMLCite \textit{A. Zang}, J. Differ. Equations 307, 1--28 (2022; Zbl 1513.76074) Full Text: DOI
Iyer, Sameer; Masmoudi, Nader Boundary layer expansions for the stationary Navier-Stokes equations. (English) Zbl 1476.35022 Ars Inven. Anal. 2021, Paper No. 6, 47 p. (2021). MSC: 35B25 35C20 35Q30 76D10 PDFBibTeX XMLCite \textit{S. Iyer} and \textit{N. Masmoudi}, Ars Inven. Anal. 2021, Paper No. 6, 47 p. (2021; Zbl 1476.35022) Full Text: DOI arXiv
Drivas, Theodore D.; La, Joonhyun Boundary conditions and polymeric drag reduction for the Navier-Stokes equations. (English) Zbl 1481.35324 Arch. Ration. Mech. Anal. 242, No. 1, 485-526 (2021). MSC: 35Q35 35Q31 76D05 76D09 76F40 35A01 35A02 35D35 PDFBibTeX XMLCite \textit{T. D. Drivas} and \textit{J. La}, Arch. Ration. Mech. Anal. 242, No. 1, 485--526 (2021; Zbl 1481.35324) Full Text: DOI arXiv
Guo, Yan; Iyer, Sameer Regularity and expansion for steady Prandtl equations. (English) Zbl 1466.35285 Commun. Math. Phys. 382, No. 3, 1403-1447 (2021). MSC: 35Q30 76D10 35B65 PDFBibTeX XMLCite \textit{Y. Guo} and \textit{S. Iyer}, Commun. Math. Phys. 382, No. 3, 1403--1447 (2021; Zbl 1466.35285) Full Text: DOI arXiv
Bedrossian, Jacob; He, Siming Inviscid damping and enhanced dissipation of the boundary layer for 2D Navier-Stokes linearized around Couette flow in a channel. (English) Zbl 1448.76057 Commun. Math. Phys. 379, No. 1, 177-226 (2020). MSC: 76D05 76D10 35Q30 PDFBibTeX XMLCite \textit{J. Bedrossian} and \textit{S. He}, Commun. Math. Phys. 379, No. 1, 177--226 (2020; Zbl 1448.76057) Full Text: DOI arXiv
Fan, Xiaoting; Xu, Wen-Qing; Wang, Shu; Wang, Wei Boundary layers associated with the 3-D Boussinesq system for Rayleigh-Bénard convection. (English) Zbl 1448.35392 Appl. Anal. 99, No. 12, 2026-2044 (2020). MSC: 35Q35 76R10 76U60 76D05 35C20 35B25 PDFBibTeX XMLCite \textit{X. Fan} et al., Appl. Anal. 99, No. 12, 2026--2044 (2020; Zbl 1448.35392) Full Text: DOI
Wang, Fei The three-dimensional inviscid limit problem with data analytic near the boundary. (English) Zbl 1446.35108 SIAM J. Math. Anal. 52, No. 4, 3520-3545 (2020). MSC: 35Q30 35Q31 76D05 35B65 PDFBibTeX XMLCite \textit{F. Wang}, SIAM J. Math. Anal. 52, No. 4, 3520--3545 (2020; Zbl 1446.35108) Full Text: DOI arXiv
Kukavica, Igor; Vicol, Vlad; Wang, Fei The inviscid limit for the Navier-Stokes equations with data analytic only near the boundary. (English) Zbl 1437.35539 Arch. Ration. Mech. Anal. 237, No. 2, 779-827 (2020). MSC: 35Q30 35Q31 76D10 76D03 35B65 PDFBibTeX XMLCite \textit{I. Kukavica} et al., Arch. Ration. Mech. Anal. 237, No. 2, 779--827 (2020; Zbl 1437.35539) Full Text: DOI arXiv
Tao, Tao; Wang, Wendong; Zhang, Zhifei Zero-viscosity limit of the Navier-Stokes equations with the Navier friction boundary condition. (English) Zbl 1435.35284 SIAM J. Math. Anal. 52, No. 2, 1040-1095 (2020). MSC: 35Q30 35Q31 76D03 76D10 76D05 PDFBibTeX XMLCite \textit{T. Tao} et al., SIAM J. Math. Anal. 52, No. 2, 1040--1095 (2020; Zbl 1435.35284) Full Text: DOI arXiv
Li, Quanrong; Ding, Shijin Symmetrical Prandtl boundary layer expansions of steady Navier-Stokes equations on bounded domain. (English) Zbl 1427.76231 J. Differ. Equations 268, No. 4, 1771-1819 (2020). MSC: 76N10 35Q30 35R35 PDFBibTeX XMLCite \textit{Q. Li} and \textit{S. Ding}, J. Differ. Equations 268, No. 4, 1771--1819 (2020; Zbl 1427.76231) Full Text: DOI arXiv
Iyer, Sameer Global steady Prandtl expansion over a moving boundary. I. (English) Zbl 1478.35175 Peking Math. J. 2, No. 2, 155-238 (2019). MSC: 35Q35 76U05 35C06 35B45 35B40 76D05 PDFBibTeX XMLCite \textit{S. Iyer}, Peking Math. J. 2, No. 2, 155--238 (2019; Zbl 1478.35175) Full Text: DOI
Gie, Gung-Min; Kelliher, James P.; Lopes Filho, Milton C.; Mazzucato, Anna L.; Nussenzveig Lopes, Helena J. The vanishing viscosity limit for some symmetric flows. (English) Zbl 1416.35025 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 36, No. 5, 1237-1280 (2019). MSC: 35B25 35C20 76D05 76D10 35Q30 35Q31 PDFBibTeX XMLCite \textit{G.-M. Gie} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 36, No. 5, 1237--1280 (2019; Zbl 1416.35025) Full Text: DOI arXiv
Drivas, Theodore D.; Nguyen, Huy Q. Remarks on the emergence of weak Euler solutions in the vanishing viscosity limit. (English) Zbl 1448.76050 J. Nonlinear Sci. 29, No. 2, 709-721 (2019). MSC: 76D03 76B03 35Q30 35Q31 PDFBibTeX XMLCite \textit{T. D. Drivas} and \textit{H. Q. Nguyen}, J. Nonlinear Sci. 29, No. 2, 709--721 (2019; Zbl 1448.76050) Full Text: DOI arXiv
Gerard-Varet, David; Maekawa, Yasunori Sobolev stability of Prandtl expansions for the steady Navier-Stokes equations. (English) Zbl 1428.35289 Arch. Ration. Mech. Anal. 233, No. 3, 1319-1382 (2019). Reviewer: Zhigang Wu (Shanghai) MSC: 35Q30 35B65 76D05 35B35 PDFBibTeX XMLCite \textit{D. Gerard-Varet} and \textit{Y. Maekawa}, Arch. Ration. Mech. Anal. 233, No. 3, 1319--1382 (2019; Zbl 1428.35289) Full Text: DOI arXiv
Iyer, Sameer Steady Prandtl layers over a moving boundary: nonshear Euler flows. (English) Zbl 1411.76026 SIAM J. Math. Anal. 51, No. 3, 1657-1695 (2019). MSC: 76D10 PDFBibTeX XMLCite \textit{S. Iyer}, SIAM J. Math. Anal. 51, No. 3, 1657--1695 (2019; Zbl 1411.76026) Full Text: DOI arXiv
Zang, Aibin Uniform time of existence of the smooth solution for 3D Euler-\(\alpha\) equations with periodic boundary conditions. (English) Zbl 1411.35221 Math. Models Methods Appl. Sci. 28, No. 10, 1881-1897 (2018). MSC: 35Q30 76D05 76D10 PDFBibTeX XMLCite \textit{A. Zang}, Math. Models Methods Appl. Sci. 28, No. 10, 1881--1897 (2018; Zbl 1411.35221) Full Text: DOI arXiv
Nguyen, Toan T.; Nguyen, Trinh T. The inviscid limit of Navier-Stokes equations for analytic data on the half-space. (English) Zbl 1432.35166 Arch. Ration. Mech. Anal. 230, No. 3, 1103-1129 (2018). MSC: 35Q30 76D03 76D05 76D09 76D10 PDFBibTeX XMLCite \textit{T. T. Nguyen} and \textit{T. T. Nguyen}, Arch. Ration. Mech. Anal. 230, No. 3, 1103--1129 (2018; Zbl 1432.35166) Full Text: DOI arXiv
Gérard-Varet, David; Maekawa, Yasunori; Masmoudi, Nader Gevrey stability of Prandtl expansions for 2-dimensional Navier-Stokes flows. (English) Zbl 1420.35187 Duke Math. J. 167, No. 13, 2531-2631 (2018). Reviewer: Cheng He (Beijing) MSC: 35Q30 35Q35 76D10 76D05 PDFBibTeX XMLCite \textit{D. Gérard-Varet} et al., Duke Math. J. 167, No. 13, 2531--2631 (2018; Zbl 1420.35187) Full Text: DOI arXiv Euclid
Tao, Tao Vanishing vertical viscosity limit of anisotropic Navier-Stokes equation with no-slip boundary condition. (English) Zbl 1403.35209 J. Differ. Equations 265, No. 9, 4283-4310 (2018). MSC: 35Q30 76D05 PDFBibTeX XMLCite \textit{T. Tao}, J. Differ. Equations 265, No. 9, 4283--4310 (2018; Zbl 1403.35209) Full Text: DOI
Constantin, Peter; Vicol, Vlad Remarks on high Reynolds numbers hydrodynamics and the inviscid limit. (English) Zbl 1384.35057 J. Nonlinear Sci. 28, No. 2, 711-724 (2018). MSC: 35Q30 35Q31 PDFBibTeX XMLCite \textit{P. Constantin} and \textit{V. Vicol}, J. Nonlinear Sci. 28, No. 2, 711--724 (2018; Zbl 1384.35057) Full Text: DOI arXiv
Guo, Yan; Nguyen, Toan T. Prandtl boundary layer expansions of steady Navier-Stokes flows over a moving plate. (English) Zbl 1403.35204 Ann. PDE 3, No. 1, Paper No. 10, 58 p. (2017). MSC: 35Q30 35C20 76D05 76D10 PDFBibTeX XMLCite \textit{Y. Guo} and \textit{T. T. Nguyen}, Ann. PDE 3, No. 1, Paper No. 10, 58 p. (2017; Zbl 1403.35204) Full Text: DOI arXiv
Fei, Mingwen; Han, Daozhi; Wang, Xiaoming Initial-boundary layer associated with the nonlinear Darcy-Brinkman-Oberbeck-Boussinesq system. (English) Zbl 1376.76064 Physica D 338, 42-56 (2017). MSC: 76S05 76R10 35B25 35Q35 PDFBibTeX XMLCite \textit{M. Fei} et al., Physica D 338, 42--56 (2017; Zbl 1376.76064) Full Text: DOI
Constantin, Peter; Elgindi, Tarek; Ignatova, Mihaela; Vicol, Vlad Remarks on the inviscid limit for the Navier-Stokes equations for uniformly bounded velocity fields. (English) Zbl 1373.35239 SIAM J. Math. Anal. 49, No. 3, 1932-1946 (2017). Reviewer: Yuxi Hu (Beijing) MSC: 35Q35 35Q30 76D09 76D07 76D05 PDFBibTeX XMLCite \textit{P. Constantin} et al., SIAM J. Math. Anal. 49, No. 3, 1932--1946 (2017; Zbl 1373.35239) Full Text: DOI arXiv
Iyer, Sameer Steady Prandtl boundary layer expansions over a rotating disk. (English) Zbl 1371.35198 Arch. Ration. Mech. Anal. 224, No. 2, 421-469 (2017). Reviewer: Vladimir Mityushev (Kraków) MSC: 35Q30 76D10 76D05 35C20 PDFBibTeX XMLCite \textit{S. Iyer}, Arch. Ration. Mech. Anal. 224, No. 2, 421--469 (2017; Zbl 1371.35198) Full Text: DOI arXiv
Kukavica, Igor; Lombardo, Maria Carmela; Sammartino, Marco Zero viscosity limit for analytic solutions of the primitive equations. (English) Zbl 1379.35247 Arch. Ration. Mech. Anal. 222, No. 1, 15-45 (2016). Reviewer: Thomas Hagen (Memphis) MSC: 35Q35 35Q31 35B25 86A05 86A10 PDFBibTeX XMLCite \textit{I. Kukavica} et al., Arch. Ration. Mech. Anal. 222, No. 1, 15--45 (2016; Zbl 1379.35247) Full Text: DOI Link
Lopes Filho, Milton C.; Nussenzveig Lopes, Helena J.; Titi, Edriss S.; Zang, Aibin Convergence of the 2D Euler-\(\alpha\) to Euler equations in the Dirichlet case: indifference to boundary layers. (English) Zbl 1364.35277 Physica D 292-293, 51-61 (2015). MSC: 35Q35 35Q31 76B03 35A35 PDFBibTeX XMLCite \textit{M. C. Lopes Filho} et al., Physica D 292--293, 51--61 (2015; Zbl 1364.35277) Full Text: DOI arXiv
Constantin, Peter; Kukavica, Igor; Vicol, Vlad On the inviscid limit of the Navier-Stokes equations. (English) Zbl 1309.35073 Proc. Am. Math. Soc. 143, No. 7, 3075-3090 (2015). MSC: 35Q35 35Q30 76D09 PDFBibTeX XMLCite \textit{P. Constantin} et al., Proc. Am. Math. Soc. 143, No. 7, 3075--3090 (2015; Zbl 1309.35073) Full Text: DOI arXiv
Han, Daozhi; Mazzucato, Anna L.; Niu, Dongjuan; Wang, Xiaoming Boundary layer for a class of nonlinear pipe flow. (English) Zbl 1246.35159 J. Differ. Equations 252, No. 12, 6387-6413 (2012). MSC: 35Q35 35C20 35B25 76D05 PDFBibTeX XMLCite \textit{D. Han} et al., J. Differ. Equations 252, No. 12, 6387--6413 (2012; Zbl 1246.35159) Full Text: DOI
Kelliher, James P.; Temam, Roger; Wang, Xiaoming Boundary layer associated with the Darcy-Brinkman-Boussinesq model for convection in porous media. (English) Zbl 1209.37102 Physica D 240, No. 7, 619-628 (2011). MSC: 37N10 76S05 76D05 35Q35 PDFBibTeX XMLCite \textit{J. P. Kelliher} et al., Physica D 240, No. 7, 619--628 (2011; Zbl 1209.37102) Full Text: DOI
Wang, Xiaoming Examples of boundary layers associated with the incompressible Navier-Stokes equations. (English) Zbl 1426.76127 Chin. Ann. Math., Ser. B 31, No. 5, 781-792 (2010). MSC: 76D10 76D05 35Q30 76D09 PDFBibTeX XMLCite \textit{X. Wang}, Chin. Ann. Math., Ser. B 31, No. 5, 781--792 (2010; Zbl 1426.76127) Full Text: DOI