Arnault, A.; Dandois, J.; Foucaut, J.-M. Comparison of stochastic estimation methods with conditional events optimization for the reconstruction of the flow around a supercritical airfoil in transonic conditions. (English) Zbl 1390.76269 Comput. Fluids 136, 436-455 (2016). MSC: 76H05 76D05 76F65 PDFBibTeX XMLCite \textit{A. Arnault} et al., Comput. Fluids 136, 436--455 (2016; Zbl 1390.76269) Full Text: DOI
Bakhtin, Yuri Ergodic theory of the Burgers equation. (English) Zbl 1388.60105 Sidoravicius, V. (ed.) et al., Probability and statistical physics in St. Petersburg. St. Petersburg School Probability and Statistical Physics, St. Petersburg State University, St. Petersburg, Russia, June 18–29, 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2248-6/hbk; 978-1-4704-2883-9/ebook). Proceedings of Symposia in Pure Mathematics 91, 1-49 (2016). MSC: 60H15 35Q30 37A25 37H10 35Q53 PDFBibTeX XMLCite \textit{Y. Bakhtin}, Proc. Symp. Pure Math. 91, 1--49 (2016; Zbl 1388.60105)
Chakraborty, Souvik; Chowdhury, Rajib Modelling uncertainty in incompressible flow simulation using Galerkin based generalized ANOVA. (English) Zbl 1375.76039 Comput. Phys. Commun. 208, 73-91 (2016). MSC: 76D06 65M60 65C20 PDFBibTeX XMLCite \textit{S. Chakraborty} and \textit{R. Chowdhury}, Comput. Phys. Commun. 208, 73--91 (2016; Zbl 1375.76039) Full Text: DOI
Yokoyama, Satoshi Regularity for the solution of a stochastic partial differential equation with the fractional Laplacian. (English) Zbl 1366.76023 Shibata, Yoshihiro (ed.) et al., Mathematical fluid dynamics, present and future. Tokyo, Japan, November 11–14, 2014. Tokyo: Springer (ISBN 978-4-431-56455-3/hbk; 978-4-431-56457-7/ebook). Springer Proceedings in Mathematics & Statistics 183, 597-613 (2016). MSC: 76D06 35Q35 35R60 PDFBibTeX XMLCite \textit{S. Yokoyama}, Springer Proc. Math. Stat. 183, 597--613 (2016; Zbl 1366.76023) Full Text: DOI
Flandoli, Franco Remarks on stochastic Navier-Stokes equations. (English) Zbl 1373.35217 Ancona, Fabio (ed.) et al., Mathematical paradigms of climate science. Based on the workshop, Rome, Italy, summer 2013. Cham: Springer (ISBN 978-3-319-39091-8/hbk; 978-3-319-39092-5/ebook). Springer INdAM Series 15, 51-65 (2016). Reviewer: Gelu Paşa (Bucureşti) MSC: 35Q30 60H15 35R60 76D05 35B20 PDFBibTeX XMLCite \textit{F. Flandoli}, Springer INdAM Ser. 15, 51--65 (2016; Zbl 1373.35217) Full Text: DOI
Sbitnev, Valeriy I. Hydrodynamics of the physical vacuum. II: Vorticity dynamics. (English) Zbl 1368.81040 Found. Phys. 46, No. 10, 1238-1252 (2016). MSC: 81P20 81T05 76D05 76A25 76D17 PDFBibTeX XMLCite \textit{V. I. Sbitnev}, Found. Phys. 46, No. 10, 1238--1252 (2016; Zbl 1368.81040) Full Text: DOI arXiv
Romito, Marco Time regularity of the densities for the Navier-Stokes equations with noise. (English) Zbl 1360.76218 J. Evol. Equ. 16, No. 3, 503-518 (2016). MSC: 76M35 60H15 60G30 35Q30 PDFBibTeX XMLCite \textit{M. Romito}, J. Evol. Equ. 16, No. 3, 503--518 (2016; Zbl 1360.76218) Full Text: DOI arXiv
Romito, Marco Some probabilistic topics in the Navier-Stokes equations. (English) Zbl 1362.35215 Robinson, James C. (ed.) et al., Recent progress in the theory of the Euler and Navier-Stokes equations. Based on the workshop “The Navier-Stokes equations in Venice”, Venice, Italy, April 8–12, 2013. Cambridge: Cambridge University Press (ISBN 978-1-107-55497-9/pbk; 978-1-316-40710-3/ebook). London Mathematical Society Lecture Note Series 430, 175-232 (2016). MSC: 35Q30 76D05 60H15 35D30 35R60 76D06 35D35 35B44 PDFBibTeX XMLCite \textit{M. Romito}, Lond. Math. Soc. Lect. Note Ser. 430, 175--232 (2016; Zbl 1362.35215) Full Text: DOI
Gibbon, John D. Modal dependency and nonlinear depletion in the three-dimensional Navier-Stokes equations. (English) Zbl 1362.35210 Robinson, James C. (ed.) et al., Recent progress in the theory of the Euler and Navier-Stokes equations. Based on the workshop “The Navier-Stokes equations in Venice”, Venice, Italy, April 8–12, 2013. Cambridge: Cambridge University Press (ISBN 978-1-107-55497-9/pbk; 978-1-316-40710-3/ebook). London Mathematical Society Lecture Note Series 430, 57-76 (2016). MSC: 35Q30 76D05 76F55 76M22 76M35 PDFBibTeX XMLCite \textit{J. D. Gibbon}, Lond. Math. Soc. Lect. Note Ser. 430, 57--76 (2016; Zbl 1362.35210) Full Text: DOI
Barth, Andrea; Schwab, Christoph; Šukys, Jonas Multilevel Monte Carlo simulation of statistical solutions to the Navier-Stokes equations. (English) Zbl 1382.76209 Cools, Ronald (ed.) et al., Monte Carlo and quasi-Monte Carlo methods. MCQMC. Proceedings of the 11th international conference on ‘Monte Carlo and quasi-Monte Carlo methods in scientific computing’, Leuven, Belgium, April 6–11, 2014. Cham: Springer (ISBN 978-3-319-33505-6/hbk; 978-3-319-33507-0/ebook). Springer Proceedings in Mathematics & Statistics 163, 209-227 (2016). MSC: 76M35 65C05 35Q30 65M75 76D06 76M12 PDFBibTeX XMLCite \textit{A. Barth} et al., Springer Proc. Math. Stat. 163, 209--227 (2016; Zbl 1382.76209) Full Text: DOI
Birnir, Björn From wind-blown sand to turbulence and back. (English) Zbl 1382.76274 Podolskij, Mark (ed.) et al., The fascination of probability, statistics and their applications. In honour of Ole E. Barndorff-Nielsen. Cham: Springer (ISBN 978-3-319-25824-9/hbk; 978-3-319-25826-3/ebook). 15-27 (2016). MSC: 76T25 60H30 60H15 76F55 PDFBibTeX XMLCite \textit{B. Birnir}, in: The fascination of probability, statistics and their applications. In honour of Ole E. Barndorff-Nielsen. Cham: Springer. 15--27 (2016; Zbl 1382.76274) Full Text: DOI
Leonardi, Filippo; Mishra, Siddhartha; Schwab, Christoph Numerical approximation of statistical solutions of planar, incompressible flows. (English) Zbl 1416.76184 Math. Models Methods Appl. Sci. 26, No. 13, 2471-2523 (2016). MSC: 76M20 65C05 65M06 65M75 76D06 76M35 PDFBibTeX XMLCite \textit{F. Leonardi} et al., Math. Models Methods Appl. Sci. 26, No. 13, 2471--2523 (2016; Zbl 1416.76184) Full Text: DOI
Pettersson, Per; Nordström, Jan; Doostan, Alireza A well-posed and stable stochastic Galerkin formulation of the incompressible Navier-Stokes equations with random data. (English) Zbl 1351.76020 J. Comput. Phys. 306, 92-116 (2016). MSC: 76D06 76M10 PDFBibTeX XMLCite \textit{P. Pettersson} et al., J. Comput. Phys. 306, 92--116 (2016; Zbl 1351.76020) Full Text: DOI
Zhang, Xicheng Stochastic differential equations with Sobolev diffusion and singular drift and applications. (English) Zbl 1353.60056 Ann. Appl. Probab. 26, No. 5, 2697-2732 (2016). MSC: 60H10 60J60 60H07 60H30 35Q30 PDFBibTeX XMLCite \textit{X. Zhang}, Ann. Appl. Probab. 26, No. 5, 2697--2732 (2016; Zbl 1353.60056) Full Text: DOI arXiv
Bessaih, Hakima; Ferrario, Benedetta Statistical properties of stochastic 2D Navier-Stokes equations from linear models. (English) Zbl 1353.60057 Discrete Contin. Dyn. Syst., Ser. B 21, No. 9, 2927-2947 (2016). MSC: 60H15 60G10 76D06 PDFBibTeX XMLCite \textit{H. Bessaih} and \textit{B. Ferrario}, Discrete Contin. Dyn. Syst., Ser. B 21, No. 9, 2927--2947 (2016; Zbl 1353.60057) Full Text: DOI arXiv
Sousedík, Bedřich; Elman, Howard C. Stochastic Galerkin methods for the steady-state Navier-Stokes equations. (English) Zbl 1349.76268 J. Comput. Phys. 316, 435-452 (2016). MSC: 76M10 65N30 65N75 76D06 PDFBibTeX XMLCite \textit{B. Sousedík} and \textit{H. C. Elman}, J. Comput. Phys. 316, 435--452 (2016; Zbl 1349.76268) Full Text: DOI arXiv
Földes, J.; Glatt-Holtz, N. E.; Richards, G.; Whitehead, J. P. Ergodicity in randomly forced Rayleigh-Bénard convection. (English) Zbl 1352.60088 Nonlinearity 29, No. 11, 3309-3345 (2016). MSC: 60H15 37L55 76D06 PDFBibTeX XMLCite \textit{J. Földes} et al., Nonlinearity 29, No. 11, 3309--3345 (2016; Zbl 1352.60088) Full Text: DOI arXiv
Hofmanová, Martina; Breit, Dominic Stochastic Navier-Stokes equations for compressible fluids. (English) Zbl 1358.60072 Indiana Univ. Math. J. 65, No. 4, 1183-1250 (2016). Reviewer: Carles Rovira (Barcelona) MSC: 60H15 35R60 76N10 35Q30 PDFBibTeX XMLCite \textit{M. Hofmanová} and \textit{D. Breit}, Indiana Univ. Math. J. 65, No. 4, 1183--1250 (2016; Zbl 1358.60072) Full Text: DOI arXiv Link
Lassalle, Rémi; Cruzeiro, Ana Bela Symmetries and martingales in a stochastic model for the Navier-Stokes equation. (English) Zbl 1350.93095 Gonçalves, Patrícia (ed.) et al., From particle systems to partial differential equations III. Particle systems and PDEs III, Braga, Portugal, December 2014. Cham: Springer (ISBN 978-3-319-32142-4/hbk; 978-3-319-32144-8/ebook). Springer Proceedings in Mathematics & Statistics 162, 185-194 (2016). MSC: 93E20 60H30 35Q30 60H15 PDFBibTeX XMLCite \textit{R. Lassalle} and \textit{A. B. Cruzeiro}, Springer Proc. Math. Stat. 162, 185--194 (2016; Zbl 1350.93095) Full Text: DOI arXiv
Bessaih, Hakima; Maris, Florian Homogenization of the stochastic Navier-Stokes equation with a stochastic slip boundary condition. (English) Zbl 1351.60077 Appl. Anal. 95, No. 12, 2703-2735 (2016). MSC: 60H15 60H30 35R60 35B27 76M50 76D07 76M35 PDFBibTeX XMLCite \textit{H. Bessaih} and \textit{F. Maris}, Appl. Anal. 95, No. 12, 2703--2735 (2016; Zbl 1351.60077) Full Text: DOI arXiv
Romito, Marco Hölder regularity of the densities for the Navier-Stokes equations with noise. (English) Zbl 1352.60093 Stoch. Partial Differ. Equ., Anal. Comput. 4, No. 3, 691-711 (2016). MSC: 60H15 60G30 35R60 35Q84 35Q30 PDFBibTeX XMLCite \textit{M. Romito}, Stoch. Partial Differ. Equ., Anal. Comput. 4, No. 3, 691--711 (2016; Zbl 1352.60093) Full Text: DOI arXiv
Breit, Dominic; Feireisl, Eduard; Hofmanová, Martina Incompressible limit for compressible fluids with stochastic forcing. (English) Zbl 1360.35137 Arch. Ration. Mech. Anal. 222, No. 2, 895-926 (2016). Reviewer: Jürgen Socolowsky (Brandenburg an der Havel) MSC: 35Q30 60H15 35R60 76N10 35B40 PDFBibTeX XMLCite \textit{D. Breit} et al., Arch. Ration. Mech. Anal. 222, No. 2, 895--926 (2016; Zbl 1360.35137) Full Text: DOI arXiv
Bessaih, Hakima; Razafimandimby, Paul André On the rate of convergence of the 2-D stochastic Leray-\(\alpha \) model to the 2-D stochastic Navier-Stokes equations with multiplicative noise. (English) Zbl 1346.60093 Appl. Math. Optim. 74, No. 1, 1-25 (2016). MSC: 60H15 76D05 60H35 PDFBibTeX XMLCite \textit{H. Bessaih} and \textit{P. A. Razafimandimby}, Appl. Math. Optim. 74, No. 1, 1--25 (2016; Zbl 1346.60093) Full Text: DOI arXiv
Bogomolov, S. V.; Esikova, N. B.; Kuvshinnikov, A. E. Micro-macro Fokker-Planck-Kolmogorov models for a gas of rigid spheres. (Russian. English summary) Zbl 1363.76058 Mat. Model. 28, No. 2, 65-85 (2016). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 76N15 76D05 76L05 60H15 65M75 PDFBibTeX XMLCite \textit{S. V. Bogomolov} et al., Mat. Model. 28, No. 2, 65--85 (2016; Zbl 1363.76058) Full Text: MNR
Li, Yin; Wei, Ruiying; Cai, Donghong Hausdorff dimension of a random attractor for stochastic Boussinesq equations with double multiplicative white noises. (English) Zbl 1383.37036 J. Funct. Spaces 2016, Article ID 1832840, 8 p. (2016). MSC: 37H10 35B41 35Q35 35R60 37C45 76D06 PDFBibTeX XMLCite \textit{Y. Li} et al., J. Funct. Spaces 2016, Article ID 1832840, 8 p. (2016; Zbl 1383.37036) Full Text: DOI
Sauer, Martin \(L^1\)-uniqueness of Kolmogorov operators associated with two-dimensional stochastic Navier-Stokes Coriolis equations with space-time white noise. (English) Zbl 1342.76038 J. Theor. Probab. 29, No. 2, 569-589 (2016). Reviewer: Piotr Biler (Wrocław) MSC: 76D06 60H15 76M35 PDFBibTeX XMLCite \textit{M. Sauer}, J. Theor. Probab. 29, No. 2, 569--589 (2016; Zbl 1342.76038) Full Text: DOI arXiv
Yamazaki, Kazuo Global martingale solution for the stochastic Boussinesq system with zero dissipation. (English) Zbl 1342.35271 Stochastic Anal. Appl. 34, No. 3, 404-426 (2016). MSC: 35Q35 60H15 35R60 35B45 76D05 58A12 PDFBibTeX XMLCite \textit{K. Yamazaki}, Stochastic Anal. Appl. 34, No. 3, 404--426 (2016; Zbl 1342.35271) Full Text: DOI
Liang, Hong; Hou, Lisheng; Ming, Ju The velocity tracking problem for Wick-stochastic Navier-Stokes flows using Weiner chaos expansion. (English) Zbl 1342.35222 J. Comput. Appl. Math. 307, 25-36 (2016). MSC: 35Q30 65N30 93E20 35R60 76D05 76M10 60H35 PDFBibTeX XMLCite \textit{H. Liang} et al., J. Comput. Appl. Math. 307, 25--36 (2016; Zbl 1342.35222) Full Text: DOI
Ferrario, Benedetta Characterization of the law for 3D stochastic hyperviscous fluids. (English) Zbl 1336.76028 Electron. J. Probab. 21, Paper No. 26, 22 p. (2016). MSC: 76M35 60H15 35Q30 76D05 PDFBibTeX XMLCite \textit{B. Ferrario}, Electron. J. Probab. 21, Paper No. 26, 22 p. (2016; Zbl 1336.76028) Full Text: DOI arXiv Euclid
Schick, M.; Heuveline, V.; Le Ma, O. P. A Newton-Galerkin method for fluid flow exhibiting uncertain periodic dynamics. (English) Zbl 1382.76175 SIAM Rev. 58, No. 1, 119-140 (2016). MSC: 76M10 65M60 35Q30 35R60 37N10 65M75 76D06 35K55 PDFBibTeX XMLCite \textit{M. Schick} et al., SIAM Rev. 58, No. 1, 119--140 (2016; Zbl 1382.76175) Full Text: DOI
Bessaih, Hakima; Hausenblas, Erika; Razafimandimby, Paul A. Ergodicity of stochastic shell models driven by pure jump noise. (English) Zbl 1454.60087 SIAM J. Math. Anal. 48, No. 2, 1423-1458 (2016). MSC: 60H15 60H30 60G51 60G57 60G55 76F20 76D03 76D06 PDFBibTeX XMLCite \textit{H. Bessaih} et al., SIAM J. Math. Anal. 48, No. 2, 1423--1458 (2016; Zbl 1454.60087) Full Text: DOI arXiv
Barrett, John W.; Süli, Endre Existence of global weak solutions to compressible isentropic finitely extensible nonlinear bead-spring chain models for dilute polymers: the two-dimensional case. (English) Zbl 1343.35183 J. Differ. Equations 261, No. 1, 592-626 (2016). Reviewer: Gelu Paşa (Bucureşti) MSC: 35Q30 35Q84 35D30 76N10 82C31 82D60 35B45 PDFBibTeX XMLCite \textit{J. W. Barrett} and \textit{E. Süli}, J. Differ. Equations 261, No. 1, 592--626 (2016; Zbl 1343.35183) Full Text: DOI
Barbu, Viorel; Röckner, Michael Backward uniqueness of stochastic parabolic like equations driven by Gaussian multiplicative noise. (English) Zbl 1336.60117 Stochastic Processes Appl. 126, No. 7, 2163-2179 (2016). MSC: 60H15 35K58 35Q30 35R60 60G15 47N20 93B05 PDFBibTeX XMLCite \textit{V. Barbu} and \textit{M. Röckner}, Stochastic Processes Appl. 126, No. 7, 2163--2179 (2016; Zbl 1336.60117) Full Text: DOI arXiv
Milstein, G. N.; Tretyakov, M. V. Layer methods for stochastic Navier-Stokes equations using simplest characteristics. (English) Zbl 1334.65016 J. Comput. Appl. Math. 302, 1-23 (2016). MSC: 65C30 60H15 60H35 PDFBibTeX XMLCite \textit{G. N. Milstein} and \textit{M. V. Tretyakov}, J. Comput. Appl. Math. 302, 1--23 (2016; Zbl 1334.65016) Full Text: DOI
Grün, G.; Metzger, S. On micro-macro-models for two-phase flow with dilute polymeric solutions – modeling and analysis. (English) Zbl 1334.35233 Math. Models Methods Appl. Sci. 26, No. 5, 823-866 (2016). MSC: 35Q35 76A05 76D03 76D05 76T99 82C31 82D60 PDFBibTeX XMLCite \textit{G. Grün} and \textit{S. Metzger}, Math. Models Methods Appl. Sci. 26, No. 5, 823--866 (2016; Zbl 1334.35233) Full Text: DOI
Mathiaud, J.; Mieussens, L. A Fokker-Planck model of the Boltzmann equation with correct Prandtl number. (English) Zbl 1334.35352 J. Stat. Phys. 162, No. 2, 397-414 (2016). MSC: 35Q84 82C31 35Q20 35Q30 82C40 76N15 PDFBibTeX XMLCite \textit{J. Mathiaud} and \textit{L. Mieussens}, J. Stat. Phys. 162, No. 2, 397--414 (2016; Zbl 1334.35352) Full Text: DOI arXiv
Debbi, Latifa Well-posedness of the multidimensional fractional stochastic Navier-Stokes equations on the torus and on bounded domains. (English) Zbl 1335.60108 J. Math. Fluid Mech. 18, No. 1, 25-69 (2016). MSC: 60H15 35R60 35R11 PDFBibTeX XMLCite \textit{L. Debbi}, J. Math. Fluid Mech. 18, No. 1, 25--69 (2016; Zbl 1335.60108) Full Text: DOI arXiv
Wang, Xiaoming Numerical algorithms for stationary statistical properties of dissipative dynamical systems. (English) Zbl 1354.37077 Discrete Contin. Dyn. Syst. 36, No. 8, 4599-4618 (2016). MSC: 37L60 34K60 35Q56 39A50 37M05 37L40 PDFBibTeX XMLCite \textit{X. Wang}, Discrete Contin. Dyn. Syst. 36, No. 8, 4599--4618 (2016; Zbl 1354.37077) Full Text: DOI
Jang, Juhi; Tice, Ian Passive scalars, moving boundaries, and Newton’s law of cooling. (English) Zbl 1332.35289 Discrete Contin. Dyn. Syst. 36, No. 3, 1383-1413 (2016). MSC: 35Q35 35B40 35A23 35Q30 58J65 PDFBibTeX XMLCite \textit{J. Jang} and \textit{I. Tice}, Discrete Contin. Dyn. Syst. 36, No. 3, 1383--1413 (2016; Zbl 1332.35289) Full Text: DOI arXiv
Barrett, John W.; Süli, Endre Existence of global weak solutions to compressible isentropic finitely extensible bead-spring chain models for dilute polymers. (English) Zbl 1336.35273 Math. Models Methods Appl. Sci. 26, No. 3, 469-568 (2016). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q30 76N10 82D60 35Q84 35D30 82C31 PDFBibTeX XMLCite \textit{J. W. Barrett} and \textit{E. Süli}, Math. Models Methods Appl. Sci. 26, No. 3, 469--568 (2016; Zbl 1336.35273) Full Text: DOI arXiv
Piatnitski, Andrey; Zhikov, Vasily Homogenization of random Navier-Stokes-type system for electrorheological fluid. (English) Zbl 1336.35048 J. Differ. Equations 260, No. 5, 4110-4129 (2016). Reviewer: Alain Brillard (Riedisheim) MSC: 35B27 35Q30 35Q60 76D05 35R60 PDFBibTeX XMLCite \textit{A. Piatnitski} and \textit{V. Zhikov}, J. Differ. Equations 260, No. 5, 4110--4129 (2016; Zbl 1336.35048) Full Text: DOI arXiv
Rezakhanlou, Fraydoun Stochastically symplectic maps and their applications to the Navier-Stokes equation. (English) Zbl 1330.53103 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 33, No. 1, 1-22 (2016). MSC: 53D05 60G46 37H10 35Q31 PDFBibTeX XMLCite \textit{F. Rezakhanlou}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 33, No. 1, 1--22 (2016; Zbl 1330.53103) Full Text: DOI arXiv
Varner, Gregory Unique Measure for Time-Dependent Random Dynamical Systems. arXiv:1606.09212 Preprint, arXiv:1606.09212 [math.AP] (2016). MSC: 35Q30 60H15 60J05 93C20 35R01 60J99 BibTeX Cite \textit{G. Varner}, ``Unique Measure for Time-Dependent Random Dynamical Systems'', Preprint, arXiv:1606.09212 [math.AP] (2016) Full Text: arXiv OA License