Krzyżanowski, Piotr; Malikova, Sadokat; Mucha, Piotr Bogusław; Piasecki, Tomasz Comparative analysis of obstacle approximation strategies for the steady incompressible Navier-Stokes equations. (English) Zbl 07801988 Appl. Math. Optim. 89, No. 2, Paper No. 38, 20 p. (2024). MSC: 35Q30 76D05 76S05 70E99 65N30 65H10 PDFBibTeX XMLCite \textit{P. Krzyżanowski} et al., Appl. Math. Optim. 89, No. 2, Paper No. 38, 20 p. (2024; Zbl 07801988) Full Text: DOI arXiv
Danchin, Raphaël; Mucha, Piotr BogusŁaw Compressible Navier-Stokes equations with ripped density. (English) Zbl 1526.35259 Commun. Pure Appl. Math. 76, No. 11, 3437-3492 (2023). MSC: 35Q30 76N10 76N15 35B65 35A01 35A02 PDFBibTeX XMLCite \textit{R. Danchin} and \textit{P. B. Mucha}, Commun. Pure Appl. Math. 76, No. 11, 3437--3492 (2023; Zbl 1526.35259) Full Text: DOI arXiv
Danchin, Raphaël; Mucha, Piotr B.; Piasecki, Tomasz Stability of the density patches problem with vacuum for incompressible inhomogeneous viscous flows. arXiv:2112.06597 Preprint, arXiv:2112.06597 [math.AP] (2021). MSC: 35Q30 76N10 BibTeX Cite \textit{R. Danchin} et al., ``Stability of the density patches problem with vacuum for incompressible inhomogeneous viscous flows'', Preprint, arXiv:2112.06597 [math.AP] (2021) Full Text: arXiv OA License
Mucha, Piotr B.; Piasecki, Tomasz Stationary compressible Navier-Stokes equations with inflow condition in domains with piecewise analytical boundaries. (English) Zbl 1435.35282 Pure Appl. Anal. 2, No. 1, 123-155 (2020). MSC: 35Q30 76N10 76N20 35D35 35B65 PDFBibTeX XMLCite \textit{P. B. Mucha} and \textit{T. Piasecki}, Pure Appl. Anal. 2, No. 1, 123--155 (2020; Zbl 1435.35282) Full Text: DOI arXiv
Danchin, Raphaël; Mucha, Piotr Bogusław The incompressible Navier-Stokes equations in vacuum. (English) Zbl 1420.35182 Commun. Pure Appl. Math. 72, No. 7, 1351-1385 (2019). MSC: 35Q30 76D05 35A01 35A02 PDFBibTeX XMLCite \textit{R. Danchin} and \textit{P. B. Mucha}, Commun. Pure Appl. Math. 72, No. 7, 1351--1385 (2019; Zbl 1420.35182) Full Text: DOI arXiv
Mucha, Piotr B.; Xue, Liutang; Zheng, Xiaoxin Between homogeneous and inhomogeneous Navier-Stokes systems: the issue of stability. (English) Zbl 1446.76090 J. Differ. Equations 267, No. 1, 307-363 (2019). Reviewer: Pavel Burda (Praha) MSC: 76D03 35Q30 PDFBibTeX XMLCite \textit{P. B. Mucha} et al., J. Differ. Equations 267, No. 1, 307--363 (2019; Zbl 1446.76090) Full Text: DOI arXiv
Bresch, Didier; Mucha, Piotr B.; Zatorska, Ewelina Finite-energy solutions for compressible two-fluid Stokes system. (English) Zbl 1412.35214 Arch. Ration. Mech. Anal. 232, No. 2, 987-1029 (2019). MSC: 35Q30 35D30 35A01 35B35 76N10 PDFBibTeX XMLCite \textit{D. Bresch} et al., Arch. Ration. Mech. Anal. 232, No. 2, 987--1029 (2019; Zbl 1412.35214) Full Text: DOI arXiv
Danchin, Raphaël; Mucha, Piotr Bogusław From compressible to incompressible inhomogeneous flows in the case of large data. (English) Zbl 1407.76130 Tunis. J. Math. 1, No. 1, 127-149 (2019). MSC: 76N10 PDFBibTeX XMLCite \textit{R. Danchin} and \textit{P. B. Mucha}, Tunis. J. Math. 1, No. 1, 127--149 (2019; Zbl 1407.76130) Full Text: DOI arXiv
Danchin, Raphaël; Mucha, Piotr Bogusław Compressible Navier-Stokes system: large solutions and incompressible limit. (English) Zbl 1384.35058 Adv. Math. 320, 904-925 (2017). Reviewer: Ruxandra Stavre (Bucureşti) MSC: 35Q30 35D35 76N10 76D05 PDFBibTeX XMLCite \textit{R. Danchin} and \textit{P. B. Mucha}, Adv. Math. 320, 904--925 (2017; Zbl 1384.35058) Full Text: DOI arXiv
Mucha, Piotr B.; Świerczewska-Gwiazda, Agnieszka High-temperature viscous flows. A case of pudding model. (English) Zbl 1382.35236 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 151, 109-125 (2017). MSC: 35Q35 76D05 80A20 PDFBibTeX XMLCite \textit{P. B. Mucha} and \textit{A. Świerczewska-Gwiazda}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 151, 109--125 (2017; Zbl 1382.35236) Full Text: DOI arXiv
Axmann, Šimon; Mucha, Piotr Bogusław Decently regular steady solutions to the compressible NSAC system. (English) Zbl 1365.76274 Topol. Methods Nonlinear Anal. 48, No. 1, 131-157 (2016). MSC: 76N10 35Q30 PDFBibTeX XMLCite \textit{Š. Axmann} and \textit{P. B. Mucha}, Topol. Methods Nonlinear Anal. 48, No. 1, 131--157 (2016; Zbl 1365.76274) Full Text: DOI arXiv
Maltese, David; Michálek, Martin; Mucha, Piotr B.; Novotný, Antonin; Pokorný, Milan; Zatorska, Ewelina Existence of weak solutions for compressible Navier-Stokes equations with entropy transport. (English) Zbl 1351.35106 J. Differ. Equations 261, No. 8, 4448-4485 (2016). Reviewer: Vladimir Mityushev (Kraków) MSC: 35Q30 76N10 35D30 PDFBibTeX XMLCite \textit{D. Maltese} et al., J. Differ. Equations 261, No. 8, 4448--4485 (2016; Zbl 1351.35106) Full Text: DOI arXiv
Danchin, Raphaël; Mucha, Piotr Bogusław Critical functional framework and maximal regularity in action on systems of incompressible flows. (English. French summary) Zbl 1335.35179 Mém. Soc. Math. Fr., Nouv. Sér. 143, 1-151 (2015). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q30 76D07 35D35 35B45 PDFBibTeX XMLCite \textit{R. Danchin} and \textit{P. B. Mucha}, Mém. Soc. Math. Fr., Nouv. Sér. 143, 1--151 (2015; Zbl 1335.35179) Full Text: DOI
Mucha, P. B.; Pokorný, M.; Zatorska, E. Heat-conducting, compressible mixtures with multicomponent diffusion: construction of a weak solution. (English) Zbl 1322.76052 SIAM J. Math. Anal. 47, No. 5, 3747-3797 (2015). MSC: 76N10 35Q35 76T30 92E20 PDFBibTeX XMLCite \textit{P. B. Mucha} et al., SIAM J. Math. Anal. 47, No. 5, 3747--3797 (2015; Zbl 1322.76052) Full Text: DOI arXiv
Braack, Malte; Mucha, Piotr Boguslaw A directional do-nothing condition for the Navier-Stokes equations. (English) Zbl 1324.76015 J. Comput. Math. 32, No. 5, 507-521 (2014). MSC: 76D05 35Q30 PDFBibTeX XMLCite \textit{M. Braack} and \textit{P. B. Mucha}, J. Comput. Math. 32, No. 5, 507--521 (2014; Zbl 1324.76015) Full Text: DOI
Mucha, Piotr Bogusław; Pokorný, Milan; Zatorska, Ewelina Approximate solutions to a model of two-component reactive flow. (English) Zbl 1304.35501 Discrete Contin. Dyn. Syst., Ser. S 7, No. 5, 1079-1099 (2014). MSC: 35Q30 35K55 35D30 76N10 35K57 80A32 76V05 PDFBibTeX XMLCite \textit{P. B. Mucha} et al., Discrete Contin. Dyn. Syst., Ser. S 7, No. 5, 1079--1099 (2014; Zbl 1304.35501) Full Text: DOI
Mucha, Piotr B.; Piasecki, Tomasz Compressible perturbation of Poiseuille type flow. (English) Zbl 1297.35170 J. Math. Pures Appl. (9) 102, No. 2, 338-363 (2014). Reviewer: Vladimir Mityushev (Kraków) MSC: 35Q30 76N10 35D35 35B65 PDFBibTeX XMLCite \textit{P. B. Mucha} and \textit{T. Piasecki}, J. Math. Pures Appl. (9) 102, No. 2, 338--363 (2014; Zbl 1297.35170) Full Text: DOI arXiv
Danchin, Raphaël; Mucha, Piotr BogusŁaw Incompressible flows with piecewise constant density. (English) Zbl 1260.35107 Arch. Ration. Mech. Anal. 207, No. 3, 991-1023 (2013). MSC: 35Q30 35A01 35A02 PDFBibTeX XMLCite \textit{R. Danchin} and \textit{P. B. Mucha}, Arch. Ration. Mech. Anal. 207, No. 3, 991--1023 (2013; Zbl 1260.35107) Full Text: DOI arXiv
Feireisl, Eduard; Mucha, Piotr B.; Novotný, Antonín; Pokorný, Milan Time-periodic solutions to the full Navier-Stokes-Fourier system. (English) Zbl 1287.76187 Arch. Ration. Mech. Anal. 204, No. 3, 745-786 (2012). MSC: 76N10 35Q30 80A20 PDFBibTeX XMLCite \textit{E. Feireisl} et al., Arch. Ration. Mech. Anal. 204, No. 3, 745--786 (2012; Zbl 1287.76187) Full Text: DOI
Danchin, Raphaël; Mucha, Piotr Bogusław A Lagrangian approach for the incompressible Navier-Stokes equations with variable density. (English) Zbl 1247.35088 Commun. Pure Appl. Math. 65, No. 10, 1458-1480 (2012). MSC: 35Q30 35A02 PDFBibTeX XMLCite \textit{R. Danchin} and \textit{P. B. Mucha}, Commun. Pure Appl. Math. 65, No. 10, 1458--1480 (2012; Zbl 1247.35088) Full Text: DOI arXiv
Konieczny, P.; Mucha, P. B. Directional approach to spatial structure of solutions to the Navier-Stokes equations in the plane. (English) Zbl 1251.76007 Nonlinearity 24, No. 6, 1861-1882 (2011). Reviewer: Jihoon Lee (Suwon) MSC: 76D03 35Q30 PDFBibTeX XMLCite \textit{P. Konieczny} and \textit{P. B. Mucha}, Nonlinearity 24, No. 6, 1861--1882 (2011; Zbl 1251.76007) Full Text: DOI arXiv
Danchin, Raphaël; Mucha, Piotr Bogusław The Stokes problem and the incompressible density-dependent Navier-Stokes system in the half-space. (Problème de Stokes et système de Navier-Stokes incompressible à densité variable dans le demi-espace.) (French) Zbl 1214.35041 Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau 2008-2009, Exp. No. X, 19 p. (2010). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q30 35Q35 76D05 76D03 46E35 PDFBibTeX XMLCite \textit{R. Danchin} and \textit{P. B. Mucha}, Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau 2008--2009, Exp. No. X, 19 p. (2010; Zbl 1214.35041) Full Text: EuDML
Mucha, Piotr B.; Pokorný, Milan Weak solutions to equations of steady compressible heat conducting fluids. (English) Zbl 1191.35207 Math. Models Methods Appl. Sci. 20, No. 5, 785-813 (2010). MSC: 35Q30 76N10 PDFBibTeX XMLCite \textit{P. B. Mucha} and \textit{M. Pokorný}, Math. Models Methods Appl. Sci. 20, No. 5, 785--813 (2010; Zbl 1191.35207) Full Text: DOI
Danchin, Raphaël; Mucha, Piotr Bogusław A critical functional framework for the inhomogeneous Navier-Stokes equations in the half-space. (English) Zbl 1160.35004 J. Funct. Anal. 256, No. 3, 881-927 (2009). Reviewer: Oleg Dementiev (Chelyabinsk) MSC: 35-02 35Q30 46N20 76D05 PDFBibTeX XMLCite \textit{R. Danchin} and \textit{P. B. Mucha}, J. Funct. Anal. 256, No. 3, 881--927 (2009; Zbl 1160.35004) Full Text: DOI
Mucha, Piotr Bogusław Stability of 2D incompressible flows in \(\mathbb R^3\). (English) Zbl 1151.35412 J. Differ. Equations 245, No. 9, 2355-2367 (2008). MSC: 35Q30 35B35 76D05 76D03 PDFBibTeX XMLCite \textit{P. B. Mucha}, J. Differ. Equations 245, No. 9, 2355--2367 (2008; Zbl 1151.35412) Full Text: DOI arXiv
Mucha, Piotr Bogusław Global solutions, structure of initial data and the Navier-Stokes equations. (English) Zbl 1154.35418 Rencławowicz, Joanna (ed.) et al., Parabolic and Navier-Stokes equations. Part 1. Proceedings of the confererence, Bȩdlewo, Poland, September 10–17, 2006. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Center Publications 81, Pt. 1, 277-286 (2008). MSC: 35Q30 76D05 76D03 PDFBibTeX XMLCite \textit{P. B. Mucha}, Banach Cent. Publ. 81, 277--286 (2008; Zbl 1154.35418) Full Text: Link
Pokorný, Milan; Mucha, Piotr B. 3D steady compressible Navier-Stokes equations. (English) Zbl 1140.76034 Discrete Contin. Dyn. Syst., Ser. S 1, No. 1, 151-163 (2008). MSC: 76N10 35Q30 PDFBibTeX XMLCite \textit{M. Pokorný} and \textit{P. B. Mucha}, Discrete Contin. Dyn. Syst., Ser. S 1, No. 1, 151--163 (2008; Zbl 1140.76034) Full Text: DOI
Mucha, Piotr Bogusław; Rusin, Walter M. Zygmund spaces, inviscid limit and uniqueness of Euler flows. (English) Zbl 1143.35346 Commun. Math. Phys. 280, No. 3, 831-841 (2008). MSC: 35Q05 35Q30 76B03 PDFBibTeX XMLCite \textit{P. B. Mucha} and \textit{W. M. Rusin}, Commun. Math. Phys. 280, No. 3, 831--841 (2008; Zbl 1143.35346) Full Text: DOI arXiv
Glass, Olivier; Mucha, Piotr Bogusław Inviscid limit for the 2-D stationary Euler system with arbitrary force in simply connected domains. (English) Zbl 1139.76017 Appl. Math. 35, No. 1, 49-67 (2008). MSC: 76D03 76B03 35Q30 35Q35 PDFBibTeX XMLCite \textit{O. Glass} and \textit{P. B. Mucha}, Appl. Math. 35, No. 1, 49--67 (2008; Zbl 1139.76017) Full Text: DOI
Konieczny, Paweł; Mucha, Piotr Bogusław On nonhomogeneous slip boundary conditions for 2D incompressible fluid flows. (English) Zbl 1213.35341 Int. J. Eng. Sci. 44, No. 11-12, 738-747 (2006). MSC: 35Q30 76D05 76D03 PDFBibTeX XMLCite \textit{P. Konieczny} and \textit{P. B. Mucha}, Int. J. Eng. Sci. 44, No. 11--12, 738--747 (2006; Zbl 1213.35341) Full Text: DOI
Mucha, Piotr B.; Rautmann, Reimund Convergence of Rothe’s scheme for the Navier-Stokes equations with slip conditions in 2D domains. (English) Zbl 1108.76021 ZAMM, Z. Angew. Math. Mech. 86, No. 9, 691-701 (2006). MSC: 76D03 76D05 35Q30 65M12 76M20 PDFBibTeX XMLCite \textit{P. B. Mucha} and \textit{R. Rautmann}, ZAMM, Z. Angew. Math. Mech. 86, No. 9, 691--701 (2006; Zbl 1108.76021) Full Text: DOI
Mucha, P. B.; Pokorný, M. On a new approach to the issue of existence and regularity for the steady compressible Navier-Stokes equations. (English) Zbl 1189.35262 Nonlinearity 19, No. 8, 1747-1768 (2006). Reviewer: Elena Gavrilova (Sofia) MSC: 35Q35 76N10 76D05 76D03 35Q30 PDFBibTeX XMLCite \textit{P. B. Mucha} and \textit{M. Pokorný}, Nonlinearity 19, No. 8, 1747--1768 (2006; Zbl 1189.35262) Full Text: DOI
Mucha, Piotr Bogusław The Eulerian limit and the slip boundary conditions – admissible irregularity of the boundary. (English) Zbl 1101.35352 Mucha, Piotr (ed.) et al., Regularity and other aspects of the Navier-Stokes equations. Based on the conference on regularity and other qualitative aspects of the Navier-Stokes equations, Bȩdlewo, Poland, August 31–September 6, 2003. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Center Publications 70, 169-183 (2005). MSC: 35Q30 76D09 76D03 76B03 PDFBibTeX XMLCite \textit{P. B. Mucha}, Banach Cent. Publ. 70, 169--183 (2005; Zbl 1101.35352)
Mucha, Piotr (ed.); Penel, Patrick (ed.); Wiegner, Michael (ed.); Zajączkowski, Wojciech (ed.) Regularity and other aspects of the Navier-Stokes equations. Based on the conference on regularity and other qualitative aspects of the Navier-Stokes equations, Będlewo, Poland, August 31–September 6, 2003. (English) Zbl 1081.35003 Banach Center Publications 70. Warsaw: Polish Academy of Sciences, Institute of Mathematics. 294 p. (2005). MSC: 35-06 35Q30 76-06 00B25 76D05 PDFBibTeX XMLCite \textit{P. Mucha} (ed.) et al., Regularity and other aspects of the Navier-Stokes equations. Based on the conference on regularity and other qualitative aspects of the Navier-Stokes equations, Będlewo, Poland, August 31--September 6, 2003. Warsaw: Polish Academy of Sciences, Institute of Mathematics (2005; Zbl 1081.35003)
Mucha, Piotr Bogusław On a pump. (English) Zbl 1088.35045 Acta Appl. Math. 88, No. 2, 125-141 (2005). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35Q30 76D05 PDFBibTeX XMLCite \textit{P. B. Mucha}, Acta Appl. Math. 88, No. 2, 125--141 (2005; Zbl 1088.35045) Full Text: DOI
Mucha, Piotr Bogusław; Sadowski, Witold Long time behaviour of a flow in infinite pipe conforming to slip boundary conditions. (English) Zbl 1082.35123 Math. Methods Appl. Sci. 28, No. 15, 1867-1880 (2005). Reviewer: Bruno Scarpellini (Basel) MSC: 35Q30 35B41 76D03 37L30 PDFBibTeX XMLCite \textit{P. B. Mucha} and \textit{W. Sadowski}, Math. Methods Appl. Sci. 28, No. 15, 1867--1880 (2005; Zbl 1082.35123) Full Text: DOI
Mucha, Piotr Bogusław Flux problem for a certain class of two-dimensional domains. (English) Zbl 1181.35176 Nonlinearity 18, No. 4, 1699-1704 (2005). MSC: 35Q30 76D03 76D05 PDFBibTeX XMLCite \textit{P. B. Mucha}, Nonlinearity 18, No. 4, 1699--1704 (2005; Zbl 1181.35176) Full Text: DOI
Mucha, Piotr Boguslaw A model of a two-dimensional pump. (English) Zbl 1080.35076 Rodrigues, José F. (ed.) et al., Trends in partial differential equations of mathematical physics. Selected papers of the international conference held on the occasion of the 70th birthday of V. A. Solonnikov, Óbidos, Portugal, June 7–10, 2003. Basel: Birkhäuser (ISBN 3-7643-7165-X/hbk). Progress in Nonlinear Differential Equations and their Applications 61, 187-195 (2005). MSC: 35Q30 76D05 35B10 PDFBibTeX XMLCite \textit{P. B. Mucha}, Prog. Nonlinear Differ. Equ. Appl. 61, 187--195 (2005; Zbl 1080.35076)
Mucha, Piotr B. On a problem for the Navier-Stokes equations with the infinite Dirichlet integral. (English) Zbl 1096.35104 Z. Angew. Math. Phys. 56, No. 3, 439-452 (2005). Reviewer: Oleg Titow (Berlin) MSC: 35Q30 76D03 35D05 76D05 PDFBibTeX XMLCite \textit{P. B. Mucha}, Z. Angew. Math. Phys. 56, No. 3, 439--452 (2005; Zbl 1096.35104) Full Text: DOI
Mucha, Piotr Bogusław The Navier-Stokes equations and the maximum principle. (English) Zbl 1077.35106 Int. Math. Res. Not. 2004, No. 67, 3585-3605 (2004). Reviewer: Klaus Deckelnick (Magdeburg) MSC: 35Q30 35B50 76D03 76D05 PDFBibTeX XMLCite \textit{P. B. Mucha}, Int. Math. Res. Not. 2004, No. 67, 3585--3605 (2004; Zbl 1077.35106) Full Text: DOI
Mucha, Piotr Bogusław On the structure of flows through pipe-like domains satisfying a geometrical constraint. (English) Zbl 1092.35079 Appl. Math. 31, No. 4, 457-471 (2004). Reviewer: Gelu Paşa (Bucureşti) MSC: 35Q30 76D03 76D05 PDFBibTeX XMLCite \textit{P. B. Mucha}, Appl. Math. 31, No. 4, 457--471 (2004; Zbl 1092.35079) Full Text: DOI
Mucha, Piotr Boguslaw On cylindrical symmetric flows through pipe-like domains. (English) Zbl 1057.35032 J. Differ. Equations 201, No. 2, 304-323 (2004). Reviewer: Oleg Titow (Berlin) MSC: 35Q30 76D03 76D05 31B05 PDFBibTeX XMLCite \textit{P. B. Mucha}, J. Differ. Equations 201, No. 2, 304--323 (2004; Zbl 1057.35032) Full Text: DOI
Mucha, Piotr Bogusław; Zajączkowski, Wojciech M. Global existence of solutions of the Dirichlet problem for the compressible Navier-Stokes equations. (English) Zbl 1057.35033 ZAMM, Z. Angew. Math. Mech. 84, No. 6, 417-424 (2004). Reviewer: Oleg Titow (Berlin) MSC: 35Q30 76N10 PDFBibTeX XMLCite \textit{P. B. Mucha} and \textit{W. M. Zajączkowski}, ZAMM, Z. Angew. Math. Mech. 84, No. 6, 417--424 (2004; Zbl 1057.35033) Full Text: DOI
Mucha, Piotr Bogusław On the inviscid limit of the Navier-Stokes equations for flows with large flux. (English) Zbl 1073.76016 Nonlinearity 16, No. 5, 1715-1732 (2003). Reviewer: Messoud A. Efendiev (Berlin) MSC: 76D03 35Q30 PDFBibTeX XMLCite \textit{P. B. Mucha}, Nonlinearity 16, No. 5, 1715--1732 (2003; Zbl 1073.76016) Full Text: DOI
Mucha, Piotr Bogusław Asymptotic behavior of a steady flow in a two-dimensional pipe. (English) Zbl 1037.35058 Stud. Math. 158, No. 1, 39-58 (2003). MSC: 35Q30 35B40 76D05 35C20 PDFBibTeX XMLCite \textit{P. B. Mucha}, Stud. Math. 158, No. 1, 39--58 (2003; Zbl 1037.35058) Full Text: DOI
Mucha, Piotr Bogusław On Navier-Stokes equations with slip boundary conditions in an infinite pipe. (English) Zbl 1028.35119 Acta Appl. Math. 76, No. 1, 1-15 (2003). Reviewer: Il’ya Sh.Mogilevskij (Tver) MSC: 35Q30 76D03 35D05 76D05 PDFBibTeX XMLCite \textit{P. B. Mucha}, Acta Appl. Math. 76, No. 1, 1--15 (2003; Zbl 1028.35119) Full Text: DOI
Mucha, Piotr Bogusław The Cauchy problem for the compressible Navier-Stokes equations in the \(L_p\)-framework. (English) Zbl 1048.35065 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 52, No. 4, 1379-1392 (2003). Reviewer: Oleg Titow (Berlin) MSC: 35Q30 76N10 PDFBibTeX XMLCite \textit{P. B. Mucha}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 52, No. 4, 1379--1392 (2003; Zbl 1048.35065) Full Text: DOI
Mucha, Piotr Bogusław; Zajłoczkowski, Wojciech M. On a \(L_{p}\)-estimate for the linearized compressible Navier-Stokes equations with the Dirichlet boundary conditions. (English) Zbl 1048.35064 J. Differ. Equations 186, No. 2, 377-393 (2002). Reviewer: Oleg Titow (Berlin) MSC: 35Q30 76N10 PDFBibTeX XMLCite \textit{P. B. Mucha} and \textit{W. M. Zajłoczkowski}, J. Differ. Equations 186, No. 2, 377--393 (2002; Zbl 1048.35064) Full Text: DOI
Mucha, Piotr Bogusław; Zajączkowski, Wojciech On the existence for the Dirichlet problem for the compressible linearized Navier–Stokes system in the \(L_p\)-framework. (English) Zbl 0992.35064 Ann. Pol. Math. 78, No. 3, 241-260 (2002). MSC: 35Q30 76N10 PDFBibTeX XMLCite \textit{P. B. Mucha} and \textit{W. Zajączkowski}, Ann. Pol. Math. 78, No. 3, 241--260 (2002; Zbl 0992.35064) Full Text: DOI
Mucha, Piotr Bogusław; Zajączkowski, Wojciech On local-in-time existence for the Dirichlet problem for equations of compressible viscous fluids. (English) Zbl 0992.35063 Ann. Pol. Math. 78, No. 3, 227-239 (2002). MSC: 35Q30 76N10 PDFBibTeX XMLCite \textit{P. B. Mucha} and \textit{W. Zajączkowski}, Ann. Pol. Math. 78, No. 3, 227--239 (2002; Zbl 0992.35063) Full Text: DOI
Mucha, Piotr Boguslaw The compressible Navier-Stokes equations. (English) Zbl 1034.35096 Kenmochi, N. (ed.) et al., Proceedings of the 2nd Polish-Japanese days on mathematical aspects of modelling structure formation phenomena, Bȩdlewo/Warsaw, Poland, November 18–26, 2000. Tokyo: Gakkōtosho Co., Ltd. (ISBN 4-7625-0426-2/hbk). GAKUTO Int. Ser., Math. Sci. Appl. 17, 19-27 (2001). MSC: 35Q30 76N10 35B35 PDFBibTeX XMLCite \textit{P. B. Mucha}, GAKUTO Int. Ser., Math. Sci. Appl. 17, 19--27 (2001; Zbl 1034.35096)
Mucha, Piotr Bogusław Stability of constant solutions to the Navier-Stokes system in \({\mathbb R}^3\). (English) Zbl 1009.35060 Appl. Math. 28, No. 3, 301-310 (2001). MSC: 35Q30 35B35 76D05 PDFBibTeX XMLCite \textit{P. B. Mucha}, Appl. Math. 28, No. 3, 301--310 (2001; Zbl 1009.35060) Full Text: DOI
Mucha, Piotr Bogusław Compressible Navier-Stokes system in 1-D. (English) Zbl 0998.35036 Math. Methods Appl. Sci. 24, No. 9, 607-622 (2001). Reviewer: Grzegorz Karch (Wrocław) MSC: 35Q30 76N10 35B35 PDFBibTeX XMLCite \textit{P. B. Mucha}, Math. Methods Appl. Sci. 24, No. 9, 607--622 (2001; Zbl 0998.35036) Full Text: DOI
Mucha, P. B. On almost global existence for the Cauchy problem for compressible Navier-Stokes equations in the \(L_p\)-framework. (English) Zbl 1006.35073 J. Appl. Anal. 7, No. 1, 61-79 (2001). Reviewer: Il’ya Sh. Mogilevskii (Tver) MSC: 35Q30 76N10 PDFBibTeX XMLCite \textit{P. B. Mucha}, J. Appl. Anal. 7, No. 1, 61--79 (2001; Zbl 1006.35073) Full Text: DOI
Mucha, Piotr Bogusław Stability of nontrivial solutions of the Navier-Stokes system on the three-dimensional torus. (English) Zbl 1016.35056 J. Differ. Equations 172, No. 2, 359-375 (2001). Reviewer: Mariano Rodriguez Ricard (Ciudad de La Habana) MSC: 35Q30 35A07 35B35 35B45 PDFBibTeX XMLCite \textit{P. B. Mucha}, J. Differ. Equations 172, No. 2, 359--375 (2001; Zbl 1016.35056) Full Text: DOI
Mucha, Piotr Bogusław On an estimate for the linearized compressible Navier–Stokes equations in the \(L_p\)-framework. (English) Zbl 0970.35092 Colloq. Math. 87, No. 2, 159-169 (2001). Reviewer: Milan Pokorný (Columbia) MSC: 35Q30 76N10 PDFBibTeX XMLCite \textit{P. B. Mucha}, Colloq. Math. 87, No. 2, 159--169 (2001; Zbl 0970.35092) Full Text: DOI
Mucha, Piotr Bogusław; Zajączkowski, Wojciech On the existence for the Cauchy-Neumann problem for the Stokes system in the \(L_p\)-framework. (English) Zbl 0970.35107 Stud. Math. 143, No. 1, 75-101 (2000). Reviewer: Oleg Titow (Berlin) MSC: 35Q30 76D03 76D07 PDFBibTeX XMLCite \textit{P. B. Mucha} and \textit{W. Zajączkowski}, Stud. Math. 143, No. 1, 75--101 (2000; Zbl 0970.35107) Full Text: DOI EuDML
Mucha, Piotr Bogusław; Zajączkowski, Wojciech On local existence of solutions of the free boundary problem for an incompressible viscous self-gravitating fluid motion. (English) Zbl 0996.35050 Appl. Math. 27, No. 3, 319-333 (2000). MSC: 35Q30 76D05 85A05 PDFBibTeX XMLCite \textit{P. B. Mucha} and \textit{W. Zajączkowski}, Appl. Math. 27, No. 3, 319--333 (2000; Zbl 0996.35050) Full Text: DOI EuDML