Breit, Dominic Regularity results in 2D fluid-structure interaction. (English) Zbl 07802398 Math. Ann. 388, No. 2, 1495-1538 (2024). MSC: 35Q30 76D05 76D07 76D03 74F10 74K25 74B10 74D10 35B65 35D35 35A01 35A02 35R37 PDFBibTeX XMLCite \textit{D. Breit}, Math. Ann. 388, No. 2, 1495--1538 (2024; Zbl 07802398) Full Text: DOI arXiv OA License
Chen, Qionglei; Zhang, Qi Energy equality of the weak solutions to Navier-Stokes equations in the multiplier spaces. (English) Zbl 1522.35358 Appl. Math. Lett. 146, Article ID 108814, 6 p. (2023). MSC: 35Q30 76D05 35D30 PDFBibTeX XMLCite \textit{Q. Chen} and \textit{Q. Zhang}, Appl. Math. Lett. 146, Article ID 108814, 6 p. (2023; Zbl 1522.35358) Full Text: DOI
Li, Hang; Su, Chunmei A semi-discrete first-order low regularity exponential integrator for the “good” Boussinesq equation without loss of regularity. (English) Zbl 1517.35180 J. Sci. Comput. 95, No. 3, Paper No. 74, 27 p. (2023). MSC: 35Q35 76B15 65M70 65M06 65N35 65M12 65M15 35B65 35C08 PDFBibTeX XMLCite \textit{H. Li} and \textit{C. Su}, J. Sci. Comput. 95, No. 3, Paper No. 74, 27 p. (2023; Zbl 1517.35180) Full Text: DOI arXiv
Köhne, Matthias; Saal, Jürgen Multiplication in vector-valued anisotropic function spaces and applications to non-linear partial differential equations. (English) Zbl 07747231 Math. Nachr. 295, No. 9, 1709-1754 (2022). MSC: 46E35 35R35 35Q30 76D03 PDFBibTeX XMLCite \textit{M. Köhne} and \textit{J. Saal}, Math. Nachr. 295, No. 9, 1709--1754 (2022; Zbl 07747231) Full Text: DOI arXiv OA License
Papadopoulos, I. P. A.; Süli, E. Numerical analysis of a topology optimization problem for Stokes flow. (English) Zbl 1493.76039 J. Comput. Appl. Math. 412, Article ID 114295, 21 p. (2022). MSC: 76D55 76D07 76M10 76M30 35Q30 49J20 PDFBibTeX XMLCite \textit{I. P. A. Papadopoulos} and \textit{E. Süli}, J. Comput. Appl. Math. 412, Article ID 114295, 21 p. (2022; Zbl 1493.76039) Full Text: DOI arXiv
Chen, Miaochao; Lu, Shengqi; Liu, Qilin Uniqueness of weak solutions to a Keller-Segel-Navier-Stokes model with a logistic source. (English) Zbl 1509.35180 Appl. Math., Praha 67, No. 1, 93-101 (2022). MSC: 35Q30 35D30 76D03 35A02 92C17 35Q92 PDFBibTeX XMLCite \textit{M. Chen} et al., Appl. Math., Praha 67, No. 1, 93--101 (2022; Zbl 1509.35180) Full Text: DOI
Lasiecka, Irena; Priyasad, Buddhika; Triggiani, Roberto Uniform stabilization of 3D Navier-Stokes equations in low regularity Besov spaces with finite dimensional, tangential-like boundary, localized feedback controllers. (English) Zbl 1468.76022 Arch. Ration. Mech. Anal. 241, No. 3, 1575-1654 (2021). MSC: 76D55 76D05 35Q30 93B52 PDFBibTeX XMLCite \textit{I. Lasiecka} et al., Arch. Ration. Mech. Anal. 241, No. 3, 1575--1654 (2021; Zbl 1468.76022) Full Text: DOI arXiv
Medková, Dagmar Classical solutions of the Robin problem for the Darcy-Forchheimer-Brinkman system. (English) Zbl 1464.35247 Z. Angew. Math. Phys. 72, No. 2, Paper No. 44, 13 p. (2021). MSC: 35Q35 35A09 76S05 35A01 35A02 PDFBibTeX XMLCite \textit{D. Medková}, Z. Angew. Math. Phys. 72, No. 2, Paper No. 44, 13 p. (2021; Zbl 1464.35247) Full Text: DOI
Davoli, Elisa; Scarpa, Luca; Trussardi, Lara Nonlocal-to-local convergence of Cahn-Hilliard equations: Neumann boundary conditions and viscosity terms. (English) Zbl 1456.76139 Arch. Ration. Mech. Anal. 239, No. 1, 117-149 (2021). MSC: 76V05 76M45 35Q35 PDFBibTeX XMLCite \textit{E. Davoli} et al., Arch. Ration. Mech. Anal. 239, No. 1, 117--149 (2021; Zbl 1456.76139) Full Text: DOI arXiv
Davoli, Elisa; Ranetbauer, Helene; Scarpa, Luca; Trussardi, Lara Degenerate nonlocal Cahn-Hilliard equations: well-posedness, regularity and local asymptotics. (English) Zbl 1467.45017 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 37, No. 3, 627-651 (2020). Reviewer: Rodica Luca (Iaşi) MSC: 45K05 35K25 35K55 35B40 37L05 76R05 PDFBibTeX XMLCite \textit{E. Davoli} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 37, No. 3, 627--651 (2020; Zbl 1467.45017) Full Text: DOI arXiv
Day, Stuart; Zarnescu, Arghir Dani Sphere-valued harmonic maps with surface energy and the \(K_{13}\) problem. (English) Zbl 1426.58002 Adv. Calc. Var. 12, No. 4, 363-392 (2019). MSC: 58E05 58E20 76A15 82D30 PDFBibTeX XMLCite \textit{S. Day} and \textit{A. D. Zarnescu}, Adv. Calc. Var. 12, No. 4, 363--392 (2019; Zbl 1426.58002) Full Text: DOI arXiv
Medková, Dagmar Weak solutions of the Robin problem for the Oseen system. (English) Zbl 1418.76026 J. Elliptic Parabol. Equ. 5, No. 1, 189-213 (2019). MSC: 76D10 76D07 35Q35 PDFBibTeX XMLCite \textit{D. Medková}, J. Elliptic Parabol. Equ. 5, No. 1, 189--213 (2019; Zbl 1418.76026) Full Text: DOI
Dai, Mimi; Liu, Han Long time behavior of solutions to the 3D Hall-magneto-hydrodynamics system with one diffusion. (English) Zbl 1412.35248 J. Differ. Equations 266, No. 11, 7658-7677 (2019). MSC: 35Q35 35B40 35Q85 76W05 35B65 35R11 PDFBibTeX XMLCite \textit{M. Dai} and \textit{H. Liu}, J. Differ. Equations 266, No. 11, 7658--7677 (2019; Zbl 1412.35248) Full Text: DOI arXiv
Medková, Dagmar \(L^q\)-solution of the Robin problem for the Stokes system with Coriolis force. (English) Zbl 1404.76285 J. Math. Fluid Mech. 20, No. 4, 1589-1616 (2018). MSC: 76U05 76D10 76D07 35Q35 PDFBibTeX XMLCite \textit{D. Medková}, J. Math. Fluid Mech. 20, No. 4, 1589--1616 (2018; Zbl 1404.76285) Full Text: DOI
Medková, Dagmar The Robin problem for the Brinkman system and for the Darcy-Forchheimer-Brinkman system. (English) Zbl 1404.35367 Z. Angew. Math. Phys. 69, No. 5, Paper No. 132, 18 p. (2018). MSC: 35Q35 76S05 47H10 76D10 PDFBibTeX XMLCite \textit{D. Medková}, Z. Angew. Math. Phys. 69, No. 5, Paper No. 132, 18 p. (2018; Zbl 1404.35367) Full Text: DOI
Alghamdi, Ahmad Mohammad; Gala, Sadek; Ragusa, Maria Alessandra New regularity criteria for the 3D Hall-MHD equations. (English) Zbl 1421.35266 Ann. Pol. Math. 121, No. 1, 7-20 (2018). MSC: 35Q35 35B65 76W05 81V70 PDFBibTeX XMLCite \textit{A. M. Alghamdi} et al., Ann. Pol. Math. 121, No. 1, 7--20 (2018; Zbl 1421.35266) Full Text: DOI
Léger, Flavien A new approach to bounds on mixing. (English) Zbl 1474.76024 Math. Models Methods Appl. Sci. 28, No. 5, 829-849 (2018). MSC: 76D55 76F25 35Q35 37C10 42B20 PDFBibTeX XMLCite \textit{F. Léger}, Math. Models Methods Appl. Sci. 28, No. 5, 829--849 (2018; Zbl 1474.76024) Full Text: DOI arXiv
Han, Daozhi; Hou, Yifeng; Temam, Roger Interaction of a vortex induced by a rotating cylinder with a plane. (English) Zbl 1488.76150 Commun. Comput. Phys. 22, No. 3, 599-619 (2017). MSC: 76U05 76D03 76D17 65Z05 PDFBibTeX XMLCite \textit{D. Han} et al., Commun. Comput. Phys. 22, No. 3, 599--619 (2017; Zbl 1488.76150) Full Text: DOI arXiv
Dipierro, Serena; Maggi, Francesco; Valdinoci, Enrico Asymptotic expansions of the contact angle in nonlocal capillarity problems. (English) Zbl 1386.76046 J. Nonlinear Sci. 27, No. 5, 1531-1550 (2017). MSC: 76B45 76D45 45M05 PDFBibTeX XMLCite \textit{S. Dipierro} et al., J. Nonlinear Sci. 27, No. 5, 1531--1550 (2017; Zbl 1386.76046) Full Text: DOI arXiv
Kohr, Mirela; Medková, Dagmar; Wendland, W. L. On the Oseen-Brinkman flow around an \((m-1)\)-dimensional solid obstacle. (English) Zbl 1380.35078 Monatsh. Math. 183, No. 2, 269-302 (2017). Reviewer: Massimo Lanza de Cristoforis (Padova) MSC: 35J25 42B20 46E35 76D03 PDFBibTeX XMLCite \textit{M. Kohr} et al., Monatsh. Math. 183, No. 2, 269--302 (2017; Zbl 1380.35078) Full Text: DOI
Xu, Huan; Li, Yongsheng; Chen, Fei Global solution to the incompressible inhomogeneous Navier-Stokes equations with some large initial data. (English) Zbl 1456.76038 J. Math. Fluid Mech. 19, No. 2, 315-328 (2017). MSC: 76D05 76D03 PDFBibTeX XMLCite \textit{H. Xu} et al., J. Math. Fluid Mech. 19, No. 2, 315--328 (2017; Zbl 1456.76038) Full Text: DOI
Medková, D. Bounded solutions of the Dirichlet problem for the Stokes resolvent system. (English) Zbl 1347.35204 Complex Var. Elliptic Equ. 61, No. 12, 1689-1715 (2016). MSC: 35Q35 35J47 76D07 76S05 35B50 PDFBibTeX XMLCite \textit{D. Medková}, Complex Var. Elliptic Equ. 61, No. 12, 1689--1715 (2016; Zbl 1347.35204) Full Text: DOI
Medková, Dagmar; Ptashnyk, Mariya; Varnhorn, Werner Integral representation of a solution to the Stokes-Darcy problem. (English) Zbl 1335.35184 Math. Methods Appl. Sci. 38, No. 17, 3968-3979 (2015). MSC: 35Q30 76P05 76D07 PDFBibTeX XMLCite \textit{D. Medková} et al., Math. Methods Appl. Sci. 38, No. 17, 3968--3979 (2015; Zbl 1335.35184) Full Text: DOI Link
Kohr, Mirela; Lanza de Cristoforis, Massimo; Wendland, Wolfgang L. Poisson problems for semilinear Brinkman systems on Lipschitz domains in \(\mathbb{R}^n\). (English) Zbl 1323.35031 Z. Angew. Math. Phys. 66, No. 3, 833-864 (2015). Reviewer: Dagmar Medková (Praha) MSC: 35J57 76D99 76M99 PDFBibTeX XMLCite \textit{M. Kohr} et al., Z. Angew. Math. Phys. 66, No. 3, 833--864 (2015; Zbl 1323.35031) Full Text: DOI
Lasiecka, Irena; Triggiani, Roberto Stabilization to an equilibrium of the Navier-Stokes equations with tangential action of feedback controllers. (English) Zbl 1320.35261 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 121, 424-446 (2015). Reviewer: Piotr Biler (Wroclaw) MSC: 35Q30 76D05 93D15 PDFBibTeX XMLCite \textit{I. Lasiecka} and \textit{R. Triggiani}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 121, 424--446 (2015; Zbl 1320.35261) Full Text: DOI
Lemarié-Rieusset, Pierre Gilles On some classes of time-periodic solutions for the Navier-Stokes equations in the whole space. (English) Zbl 1323.35131 SIAM J. Math. Anal. 47, No. 2, 1022-1043 (2015). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 35Q30 35B10 76D05 35B35 35B65 76D03 PDFBibTeX XMLCite \textit{P. G. Lemarié-Rieusset}, SIAM J. Math. Anal. 47, No. 2, 1022--1043 (2015; Zbl 1323.35131) Full Text: DOI
Medková, D. Transmission problem for the Brinkman system. (English) Zbl 1302.35322 Complex Var. Elliptic Equ. 59, No. 12, 1664-1678 (2014). MSC: 35Q35 35Q30 76D07 PDFBibTeX XMLCite \textit{D. Medková}, Complex Var. Elliptic Equ. 59, No. 12, 1664--1678 (2014; Zbl 1302.35322) Full Text: DOI
Serfaty, Sylvia; Vázquez, Juan Luis A mean field equation as limit of nonlinear diffusions with fractional Laplacian operators. (English) Zbl 1290.35316 Calc. Var. Partial Differ. Equ. 49, No. 3-4, 1091-1120 (2014). MSC: 35R11 35K55 35K65 76S05 PDFBibTeX XMLCite \textit{S. Serfaty} and \textit{J. L. Vázquez}, Calc. Var. Partial Differ. Equ. 49, No. 3--4, 1091--1120 (2014; Zbl 1290.35316) Full Text: DOI arXiv Backlinks: MO
Fericean, Denisa; Wendland, Wolfgang L. Layer potential analysis for a Dirichlet-transmission problem in Lipschitz domains in \(\mathbb R^{n}\). (English) Zbl 1429.76039 ZAMM, Z. Angew. Math. Mech. 93, No. 10-11, 762-776 (2013). MSC: 76D03 76D07 76S05 35Q35 PDFBibTeX XMLCite \textit{D. Fericean} and \textit{W. L. Wendland}, ZAMM, Z. Angew. Math. Mech. 93, No. 10--11, 762--776 (2013; Zbl 1429.76039) Full Text: DOI
Cui, Shangbin Weak solutions for the Navier-Stokes equations with \(B^{-1(\ln )}_{\infty \infty }+B_{X_r}^{-1+r,\frac{2}{1-r}}+L^2\) initial data. (English) Zbl 1366.35114 J. Math. Phys. 54, No. 5, 051503, 18 p. (2013). MSC: 35Q30 35D30 76D05 PDFBibTeX XMLCite \textit{S. Cui}, J. Math. Phys. 54, No. 5, 051503, 18 p. (2013; Zbl 1366.35114) Full Text: DOI arXiv
Shargorodsky, Eugene An estimate for the Morse index of a Stokes wave. (English) Zbl 1303.35076 Arch. Ration. Mech. Anal. 209, No. 1, 41-59 (2013). Reviewer: V. D. Sharma (Mumbai) MSC: 35Q35 76B15 37B30 PDFBibTeX XMLCite \textit{E. Shargorodsky}, Arch. Ration. Mech. Anal. 209, No. 1, 41--59 (2013; Zbl 1303.35076) Full Text: DOI arXiv
Phan, Tuoc Van; Phuc, Nguyen Cong Stationary Navier-Stokes equations with critically singular external forces: existence and stability results. (English) Zbl 1286.35196 Adv. Math. 241, 137-161 (2013). Reviewer: Bernard Ducomet (Bruyères le Châtel) MSC: 35Q30 76D05 35A01 35B35 PDFBibTeX XMLCite \textit{T. Van Phan} and \textit{N. C. Phuc}, Adv. Math. 241, 137--161 (2013; Zbl 1286.35196) Full Text: DOI arXiv
Medková, D. Integral equation method for the first and second problems of the Stokes system. (English) Zbl 1277.31010 Potential Anal. 39, No. 4, 389-409 (2013). MSC: 31B10 35Q30 76D10 65N38 PDFBibTeX XMLCite \textit{D. Medková}, Potential Anal. 39, No. 4, 389--409 (2013; Zbl 1277.31010) Full Text: DOI
Huang, Jingchi; Paicu, Marius; Zhang, Ping Global solutions to the 3-D incompressible inhomogeneous Navier-Stokes system with rough density. (English) Zbl 1273.35211 Cicognani, Massimo (ed.) et al., Studies in phase space analysis with applications to PDEs. In part selected papers based on the presentations at a meeting, Bertinoro, Italy, September 2011. New York, NY: Birkhäuser/Springer (ISBN 978-1-4614-6347-4/hbk; 978-1-4614-6348-1/ebook). Progress in Nonlinear Differential Equations and Their Applications 84, 159-180 (2013). MSC: 35Q30 76D03 PDFBibTeX XMLCite \textit{J. Huang} et al., Prog. Nonlinear Differ. Equ. Appl. 84, 159--180 (2013; Zbl 1273.35211) Full Text: DOI
Kohr, Mirela; Lanza de Cristoforis, Massimo; Wendland, Wolfgang L. Nonlinear Neumann-transmission problems for Stokes and Brinkman equations on Euclidean Lipschitz domains. (English) Zbl 1269.47053 Potential Anal. 38, No. 4, 1123-1171 (2013). Reviewer: Rodica Luca Tudorache (Iaşi) MSC: 47N20 42B20 46E35 35J25 76D99 76M99 PDFBibTeX XMLCite \textit{M. Kohr} et al., Potential Anal. 38, No. 4, 1123--1171 (2013; Zbl 1269.47053) Full Text: DOI
Medková, D. Convergence of the Neumann series in BEM for the Neumann problem of the Stokes system. (English) Zbl 1235.35221 Acta Appl. Math. 116, No. 3, 281-304 (2011). Reviewer: Il’ya Sh. Mogilevskij (Tver’) MSC: 35Q35 76D07 35Q30 65N38 35D30 PDFBibTeX XMLCite \textit{D. Medková}, Acta Appl. Math. 116, No. 3, 281--304 (2011; Zbl 1235.35221) Full Text: DOI
Medková, Dagmar; Varnhorn, Werner The planar Dirichlet problem for the Stokes equations. (English) Zbl 1321.76019 Math. Methods Appl. Sci. 34, No. 9, 1097-1109 (2011). MSC: 76D07 76N10 PDFBibTeX XMLCite \textit{D. Medková} and \textit{W. Varnhorn}, Math. Methods Appl. Sci. 34, No. 9, 1097--1109 (2011; Zbl 1321.76019) Full Text: DOI
López, Rafael Stationary rotating surfaces in Euclidean space. (English) Zbl 1203.53008 Calc. Var. Partial Differ. Equ. 39, No. 3-4, 333-359 (2010). MSC: 53A10 35J25 76U05 PDFBibTeX XMLCite \textit{R. López}, Calc. Var. Partial Differ. Equ. 39, No. 3--4, 333--359 (2010; Zbl 1203.53008) Full Text: DOI arXiv
Medková, Dagmar Integral representation of a solution of the Neumann problem for the Stokes system. (English) Zbl 1201.65214 Numer. Algorithms 54, No. 4, 459-484 (2010). Reviewer: Nicolae Pop (Baia Mare) MSC: 65N38 35J25 35Q30 76D07 76M15 PDFBibTeX XMLCite \textit{D. Medková}, Numer. Algorithms 54, No. 4, 459--484 (2010; Zbl 1201.65214) Full Text: DOI
Fan, Jishan; Gao, Hongjun; Guo, Boling Regularity criteria for the Navier-Stokes-Landau-Lifshitz system. (English) Zbl 1180.35406 J. Math. Anal. Appl. 363, No. 1, 29-37 (2010). MSC: 35Q30 76D05 76D03 35B35 PDFBibTeX XMLCite \textit{J. Fan} et al., J. Math. Anal. Appl. 363, No. 1, 29--37 (2010; Zbl 1180.35406) Full Text: DOI
May, Ramzi Uniqueness of solutions of Navier-Stokes equations in Morrey-Campanato spaces. (Unicité des solutions des équations de Navier-Stokes dans les espaces de Morrey-Campanato.) (French) Zbl 1179.35221 Bull. Sci. Math. 133, No. 8, 817-836 (2009). MSC: 35Q30 76D05 76D03 PDFBibTeX XMLCite \textit{R. May}, Bull. Sci. Math. 133, No. 8, 817--836 (2009; Zbl 1179.35221) Full Text: DOI
Fan, Jishan; Jiang, Song; Ni, Guoxi On regularity criteria for the \(n\)-dimensional Navier-Stokes equations in terms of the pressure. (English) Zbl 1143.35081 J. Differ. Equations 244, No. 11, 2963-2979 (2008). MSC: 35Q30 35B65 76D05 76D03 PDFBibTeX XMLCite \textit{J. Fan} et al., J. Differ. Equations 244, No. 11, 2963--2979 (2008; Zbl 1143.35081) Full Text: DOI
Lemarié-Rieusset, Pierre Gilles The Navier-Stokes equations in the critical Morrey-Campanato space. (English) Zbl 1227.35230 Rev. Mat. Iberoam. 23, No. 3, 897-930 (2007). MSC: 35Q30 76D05 76D03 46E30 42C40 PDFBibTeX XMLCite \textit{P. G. Lemarié-Rieusset}, Rev. Mat. Iberoam. 23, No. 3, 897--930 (2007; Zbl 1227.35230) Full Text: DOI Euclid EuDML
Lemarié-Rieusset, Pierre Gilles; May, Ramzi Uniqueness for the Navier-Stokes equations and multipliers between Sobolev spaces. (English) Zbl 1185.35170 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 66, No. 4, 819-838 (2007). Reviewer: Oleg Titow (Berlin) MSC: 35Q30 76D03 PDFBibTeX XMLCite \textit{P. G. Lemarié-Rieusset} and \textit{R. May}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 66, No. 4, 819--838 (2007; Zbl 1185.35170) Full Text: DOI
Barbu, Viorel; Lasiecka, Irena; Triggiani, Roberto Abstract settings for tangential boundary stabilization of Navier–Stokes equations by high- and low-gain feedback controllers. (English) Zbl 1098.35025 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 64, No. 12, 2704-2746 (2006). Reviewer: Vyacheslav I. Maksimov (Ekaterinburg) MSC: 35B37 35Q30 76D05 35B40 93D15 35B35 PDFBibTeX XMLCite \textit{V. Barbu} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 64, No. 12, 2704--2746 (2006; Zbl 1098.35025) Full Text: DOI
Cheng, Alexander H.-D.; Cheng, Daisy T. Heritage and early history of the boundary element method. (English) Zbl 1182.65005 Eng. Anal. Bound. Elem. 29, No. 3, 268-302 (2005). MSC: 65-03 65N38 65M38 74S15 76M15 01A60 01A55 01A50 PDFBibTeX XMLCite \textit{A. H. D. Cheng} and \textit{D. T. Cheng}, Eng. Anal. Bound. Elem. 29, No. 3, 268--302 (2005; Zbl 1182.65005) Full Text: DOI
Pileckas, Konstantin; Zajączkowski, Wojciech M. On the free boundary problem for stationary compressible Navier-Stokes equations. (English) Zbl 0715.35088 Commun. Math. Phys. 129, No. 1, 169-204 (1990). Reviewer: H.Jeggle MSC: 35R35 35Q30 76N10 35D05 PDFBibTeX XMLCite \textit{K. Pileckas} and \textit{W. M. Zajączkowski}, Commun. Math. Phys. 129, No. 1, 169--204 (1990; Zbl 0715.35088) Full Text: DOI