65 Publikationen
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2025 | Preprint | Veröffentlicht | PUB-ID: 3000488Gussetti, E., & Hofmanová, M. (2025). Statistical solutions to the Schrödinger map equation in 1D, via the randomly forced Landau-Lifschitz-Gilbert equation. https://doi.org/10.48550/ARXIV.2501.16499
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2024 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2990003Gubinelli, M., Hofmanová, M., & Rana, N. (2024). Decay of correlations in stochastic quantization: the exponential Euclidean field in two dimensions. Stochastics and Partial Differential Equations : Analysis and Computations . https://doi.org/10.1007/s40072-024-00328-x
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2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2999968Hofmanová, M., Zhu, R., & Zhu, X. (2024). Non-uniqueness of Leray-Hopf solutions for stochastic forced Navier-Stokes equations. Electronic Journal of Probability , 29, 195. https://doi.org/10.1214/24-EJP1259
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2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2994181Breit, D., Feireisl, E., & Hofmanová, M. (2024). On the long-time behavior of compressible fluid flows excited by random forcing. Annales de l'Institut Henri Poincaré (C): Non Linear Analysis, 41(4), 961-993. https://doi.org/10.4171/AIHPC/115
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2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2985884Hofmanová, M., Lange, T., & Pappalettera, U. (2024). Global existence and non-uniqueness of 3D Euler equations perturbed by transport noise. Probability Theory and Related Fields, 188, 1183–1255. https://doi.org/10.1007/s00440-023-01233-5
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2024 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2990013Hofmanová, M., Luo, X., Zhu, R., & Zhu, X. (2024). Surface quasi-geostrophic equation perturbed by derivatives of space-time white noise. Mathematische Annalen , s00208-024-02881-1. https://doi.org/10.1007/s00208-024-02881-1
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2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2988225Hofmanová, M., Zhu, R., & Zhu, X. (2024). Nonuniqueness in law of stochastic 3D Navier-Stokes equations. Journal of the European Mathematical Society, 26(1), 163-260. https://doi.org/10.4171/JEMS/1360
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2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2980538Hofmanová, M., Zhu, R., & Zhu, X. (2023). A class of supercritical/critical singular stochastic PDEs: Existence, non-uniqueness, non-Gaussianity, non-unique ergodicity *. Journal of Functional Analysis, 285(5), 110011. https://doi.org/10.1016/j.jfa.2023.110011
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2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2979254Hofmanová, M., Zhu, R., & Zhu, X. (2023). Global Existence and Non-Uniqueness for 3D Navier-Stokes Equations with Space-Time White Noise. Archive for Rational Mechanics and Analysis , 247(3), 46. https://doi.org/10.1007/s00205-023-01872-x
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2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2978101Hofmanová, M., Zhu, R., & Zhu, X. (2023). Global-in-time probabilistically strong and Markov solutions to stochastic 3D Navier–Stokes equations: Existence and nonuniqueness. Annals of Probability, 51(2), 524-579. https://doi.org/10.1214/22-AOP1607
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2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2969175Bechtold, F., & Hofmanová, M. (2023). Weak solutions for singular multiplicative SDEs via regularization by noise. Stochastic Processes and their Applications, 157, 413-435. https://doi.org/10.1016/j.spa.2022.12.010
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2022 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2967853Diening, L., Hofmanová, M., & Wichmann, J. (2022). An averaged space–time discretization of the stochastic p-Laplace system. Numerische Mathematik, 153. https://doi.org/10.1007/s00211-022-01343-7
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2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2961108Feireisi, E., & Hofmanová, M. (2022). Randomness in Compressible Fluid Flows Past an Obstacle. Journal of Statistical Physics , 186(3), 32. https://doi.org/10.1007/s10955-022-02879-6
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2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2968920Cardona, J., Hofmanová, M., Nilssen, T., & Rana, N. (2022). Random dynamical system generated by the 3D Navier-Stokes equation with rough transport noise. Electronic Journal of Probability , 27, 88. https://doi.org/10.1214/22-EJP813
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2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2967880Breit, D., Feireisl, E., Hofmanová, M., & Zatorska, E. (2022). COMPRESSIBLE NAVIER-STOKES SYSTEM WITH TRANSPORT NOISE. SIAM Journal on Mathematical Analysis , 54(4), 4465-4494. https://doi.org/10.1137/21M1464701
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2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2965535Flandoli, F., Hofmanová, M., Luo, D., & Nilssen, T. (2022). Global well-posedness of the 3D Navier–Stokes equations perturbed by a deterministic vector field . Annals of Applied Probability, 32(4), 2568-2586. https://doi.org/10.1214/21-AAP1740
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2022 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2964928Hofmanová, M., Koley, U., & Sarkar, U. (2022). Measure-valued solutions to the stochastic compressible Euler equations and incompressible limits. Communications in Partial Differential Equations. https://doi.org/10.1080/03605302.2022.2101002
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2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2955117Gubinelli, M., & Hofmanová, M. (2021). A PDE Construction of the Euclidean Phi(4)(3) Quantum Field Theory. Communications in Mathematical Physics, 384(1), 1-75. https://doi.org/10.1007/s00220-021-04022-0
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2021 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2959757Breit, D., Feireisl, E., & Hofmanová, M. (2021). Stationary solutions in thermodynamics of stochastically forced fluids. Mathematische Annalen . https://doi.org/10.1007/s00208-021-02300-9
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2021 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2958499Hofmanová, M., Zhu, R., & Zhu, X. (2021). On Ill- and Well-Posedness of Dissipative Martingale Solutions to Stochastic 3D Euler Equations. Communications on Pure and Applied Mathematics . https://doi.org/10.1002/cpa.22023
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2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2957745Breit, D., Hofmanová, M., & Loisel, S. (2021). Space-Time Approximation of Stochastic $p$-Laplace-Type Systems. SIAM Journal on Numerical Analysis, 59(4), 2218-2236. https://doi.org/10.1137/20M1334310
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2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937411Hofmanová, M., Leahy, J. - M., & Nilssen, T. (2021). On a rough perturbation of the Navier-Stokes system and its vorticity formulation. Annals of Applied Probability, 31(2), 736-777. https://doi.org/10.1214/20-AAP1603
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2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2956012Fanelli, F., Feireisl, E., & Hofmanová, M. (2021). Ergodic theory for energetically open compressible fluid flows. Physica D: Nonlinear Phenomena, 423, 132914. https://doi.org/10.1016/j.physd.2021.132914
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2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937471Dabrock, N., Hofmanová, M., & Röger, M. (2021). Existence of martingale solutions and large-time behavior for a stochastic mean curvature flow of graphs . Probability Theory and Related Fields , 179, 407-449. https://doi.org/10.1007/s00440-020-01012-6
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2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2946703Feireisl, E., & Hofmanová, M. (2020). On convergence of approximate solutions to the compressible Euler system. Annals of PDE, 6, 11. https://doi.org/10.1007/s40818-020-00086-8
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2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2933204Breit, D., Feireisl, E., & Hofmanová, M. (2020). Markov selection for the stochastic compressible Navier-Stokes system. Annals of Applied Probability, 30(6), 2547-2572. doi:10.1214/20-AAP1566
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2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937476Deya, A., Gubinelli, M., Hofmanová, M., & Tindel, S. (2019). A priori estimates for rough PDEs with application to rough conservation laws. Journal of Functional Analysis, 276(12), 3577-3645. doi:10.1016/j.jfa.2019.03.008
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2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2937484Breit, D., Feireisl, E., Hofmanová, M., & Maslowski, B. (2019). Stationary solutions to the compressible Navier–Stokes system driven by stochastic forces. Probability Theory and Related Fields, 174(3-4), 981-1032. doi:10.1007/s00440-018-0875-4
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2019 | Preprint | Unveröffentlicht | PUB-ID: 2937480Hofmanová, M., & Feireisl, E. (Unpublished). On the vanishing viscosity limit of the isentropic Navier-Stokes system. arXiv: 1905.02548
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2019 | Preprint | Unveröffentlicht | PUB-ID: 2937473Hofmanová, M., & Breit, D. (Unpublished). Space-time approximation of stochastic p-Laplace systems . arXiv: 1904.03134v1
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2019 | Preprint | Unveröffentlicht | PUB-ID: 2937472Hofmanová, M., Breit, D., & Eduard, F. (Unpublished). Dissipative solutions and semiflow selection for the complete Euler system. arXiv: 1904.00622v1
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2019 | Preprint | PUB-ID: 2933197Breit, D., Feireisl, E., & Hofmanová, M. (2019). Solution Semiflow to the isentropic Euler system
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2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2933265Breit, D., Feireisl, E., & Hofmanová, M. (2018). Local strong solutions to the stochastic compressible Navier–Stokes system. Communications in Partial Differential Equations, 43(2), 313-345. doi:10.1080/03605302.2018.1442476
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2018 | Preprint | PUB-ID: 2933200Gubinelli, M., & Hofmanová, M. (2018). PDE construction of the Euclidean Φ 4 3 quantum field theory
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2018 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2933261Hofmanová, M., Leahy, J. - M., & Nilssen, T. (2018). On the Navier–Stokes equation perturbed by rough transport noise. Journal of Evolution Equations, 19(1), 203-247. doi:10.1007/s00028-018-0473-z
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2018 | Zeitschriftenaufsatz | E-Veröff. vor dem Druck | PUB-ID: 2933221Bailleul, I., Debussche, A., & Hofmanová, M. (2018). Quasilinear generalized parabolic Anderson model equation. Stochastics and Partial Differential Equations: Analysis and Computations, 7(1), 40-63. doi:10.1007/s40072-018-0121-1
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2018 | Monographie | Veröffentlicht | PUB-ID: 2933196Breit, D., Feireisl, E., & Hofmanová, M. (2018). Stochastically Forced Compressible Fluid Flows (De Gruyter Series in Applied and Numerical Mathematics, 3) 1.st ed. Berlin: De Gruyter.
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2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2920675Hocquet, A., & Hofmanová, M. (2018). An energy method for rough partial differential equations. JOURNAL OF DIFFERENTIAL EQUATIONS, 265(4), 1407-1466. doi:10.1016/j.jde.2018.04.006
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2018 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2931096Gess, B., & Hofmanová, M. (2018). Well-posedness and regularity for quasilinear degenerate parabolic-hyperbolic SPDE. ANNALS OF PROBABILITY, 46(5), 2495-2544. doi:10.1214/17-AOP1231
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2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2933240Hofmanová, M., & Zhang, T. (2017). Quasilinear parabolic stochastic partial differential equations: existence, uniqueness. Stochastic Processes and their Applications, 127(10), 3354-3371. doi:10.1016/j.spa.2017.01.010
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2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2933229Hofmanová, M., & Schratz, K. (2017). An exponential-type integrator for the KDV Equation. Numerische Mathematik, 136(4), 1117-1137. doi:10.1007/s00211-016-0859-1
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2017 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2933231Breit, D., Feireisl, E., & Hofmanová, M. (2017). Compressible Fluids Driven by Stochastic Forcing: The Relative Energy Inequality and Applications. Communications in Mathematical Physics, 350(2), 443-473. doi:10.1007/s00220-017-2833-x
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2017 | Preprint | PUB-ID: 2933208Hofmanová, M., Knöller, M., & Schratz, K. (2017). Stratified exponential integrator for modulated nonlinear Schrödinger equations
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2017 | Preprint | PUB-ID: 2933214Breit, D., Feireisl, E., & Hofmanová, M. (2017). On solvability and ill-posedness of the compressible Euler system subject to stochastic forces
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2016 | Preprint | PUB-ID: 2933218Deya, A., Gubinelli, M., Hofmanová, M., & Tindel, S. (2016). One-dimensional reflected rough differential equation
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2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2933238Hofmanová, M. (2016). Scalar conservation laws with rough flux and stochastic forcing. Stochastics and Partial Differential Equations. Analysis and Computations, 4(3), 635-690. doi:10.1007/s40072-016-0072-3
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2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2933251Debussche, A., Hofmanová, M., & Vovelle, J. (2016). Degenerate parabolic stochastic partial differential equations: Quasilinear case. The Annals of Probability, 44(3), 1916-1955. doi:10.1214/15-aop1013
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2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2933242Hofmanová, M., Röger, M., & von Renesse, M. (2016). Weak solutions for a stochastic mean curvature flow of two-dimensional graphs. Probability Theory and Related Fields, 168(1-2), 373-408. doi:10.1007/s00440-016-0713-5
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2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2933236Breit, D., Feireisl, E., & Hofmanová, M. (2016). Incompressible Limit for Compressible Fluids with Stochastic Forcing. Archive for Rational Mechanics and Analysis, 222(2), 895-926. doi:10.1007/s00205-016-1014-y
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2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2933244Hofmanová, M., & Breit, D. (2016). Stochastic Navier-Stokes equations for compressible fluids. Indiana University Mathematics Journal, 65(4), 1183-1250. doi:10.1512/iumj.2016.65.5832
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2016 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2933212Hofmanová, M. (2016). On the Rough Gronwall lemma and it's aplications. In A. Eberle, M. Grothaus, W. Hoh, M. Kassmann, W. Stannat, & G. Trutnau (Eds.), Springer Proceedings in Mathematics & Statistics . Stochastic Partial Differential Equations and Related Fields. In Honor of Michael Röckner SPDERF, Bielefeld, Germany (pp. 333-344). Cham: Springer. doi:10.1007/978-3-319-74929-7_21
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2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2933246Debussche, A., de Moor, S., & Hofmanová, M. (2015). A Regularity Result for Quasilinear Stochastic Partial Differential Equations of Parabolic Type. SIAM Journal on Mathematical Analysis, 47(2), 1590-1614. doi:10.1137/130950549
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2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2933253Hofmanová, M. (2015). A Bhatnagar–Gross–Krook approximation to stochastic scalar conservation laws. Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 51(4), 1500-1528. doi:10.1214/14-aihp610
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2015 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2933233Breit, D., & Hofmanová, M. (2015). On time regularity of stochastic evolution equations with monotone coefficients. Comptes Rendus Mathematique, 354(1), 33-37. doi:10.1016/j.crma.2015.09.031
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2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2933249Hofmanová, M. (2013). Degenerate parabolic stochastic partial differential equations. Stochastic Processes and their Applications, 123(12), 4294-4336. doi:10.1016/j.spa.2013.06.015
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2013 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2933255Hofmanová, M., & Seidler, J. (2013). On Weak Solutions of Stochastic Differential Equations II. Stochastic Analysis and Applications, 31(4), 663-670. doi:10.1080/07362994.2013.799025
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2012 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2933257Hofmanová, M. (2012). Strong solutions of semilinear stochastic partial differential equations. Nonlinear Differential Equations and Applications NoDEA, 20(3), 757-778. doi:10.1007/s00030-012-0178-x
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2011 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2933259Hofmanová, M., & Seidler, J. (2011). On Weak Solutions of Stochastic Differential Equations. Stochastic Analysis and Applications, 30(1), 100-121. doi:10.1080/07362994.2012.628916