Publications
List of original scientific papers
1/1/20252 min read
The current section contains my main research papers (published or Arxiv form).
F. Alouges, A. De Bouard and A. Hocquet
A semi-discrete scheme for the Stochastic Landau-Lifshitz equation,
https://link.springer.com/article/10.1007/s40072-014-0033-7
Stochastic Partial Differential Equations: Analysis and Computations, 2(3):381-.315, 2014.A. Hocquet,
Struwe-like solutions of the stochastic harmonic map flow,
https://link.springer.com/article/10.1007/s00028-018-0437-3
Journal of Evolution Equations, 18(3)1189--1228, 2018
A. Hocquet and M. Hofmanová.
An energy method for rough partial differential equations.
https://www.sciencedirect.com/science/article/pii/S002203961830189X
Journal of Differential Equations}, 265(4):1407--1466, 2018.
A. Hocquet.
Finite-time singularity of the stochastic harmonic map flow.
https://projecteuclid.org/euclid.aihp/1557820840
Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 55(2):1011--1041
Institut Henri Poincaré, 2019.
A. Hocquet and T. Nilssen and W. Stannat,
Generalized Burgers equation with rough transport noise.
https://www.sciencedirect.com/science/article/abs/pii/S030441491830721X
Stochastic Processes and their Applications, 130(4):2159--2184, 2020.
A. Hocquet and T. Nilssen.
An Itô Formula for rough partial differential equations and some applications.
https://doi.org/10.1007/s11118-020-09830-y
Potential Analysis, 1-56, 2020.
A. Hocquet.
Quasilinear rough partial differential equations with transport noise.
https://www.sciencedirect.com/science/article/abs/pii/S0022039620306562
Journal of differential equations, 276: 43-95, 2021.
A. De Bouard, A. Hocquet and A. Prohl.
Existence, uniqueness and regularity for the stochastic Ericksen-Leslie equation on surfaces.
https://iopscience.iop.org/article/10.1088/1361-6544/ac022e/meta
Nonlinearity, 34(6): 4057, 2021.
A. Gerasimovics, A. Hocquet and T. Nilssen.
Non-autonomous evolution equations and the multiplicative sewing lemma.https://doi.org/10.1016/j.jfa.2021.109200
Journal of Functional Analysis, 281(10): 109200, 2021.
A. Hocquet and A. Vogler.
Optimal control of mean field equations with monotone coefficients and applications in neuroscience.
https://link.springer.com/article/10.1007/s00245-021-09816-1
Applied Mathematics and Optimization, 84(2): 1925-1968, 2021.
A. Hocquet and A. Vogler.
An application of the multiplicative Sewing Lemma to the high order weak approximation of stochastic differential equations.
https://www.sciencedirect.com/science/article/abs/pii/S0304414923001692
Stochastic Processes and their Applications, 165: 183-217, 2023.
E. Gussetti and A. Hocquet.
A pathwise stochastic Landau-Lifshitz-Gilbert equation with application to large deviations.
https://www.sciencedirect.com/science/article/abs/pii/S0022123623002513
Journal of Functional Analysis, 285(9): 110094, 2021.
A. Hocquet and A. Neamtu.
Quasilinear rough evolution equations.
https://arxiv.org/abs/2207.04787
Annals of Applied Probability Theory 34(5): 4268 - 4309, 2023.
P.K. Friz, A. Hocquet and K. Lê.
Rough stochastic differential equations.
P. K. Friz, A. Hocquet, and K. Lê.
Mckean--vlasov equations with rough common noise and quenched propagation of chaos.
Preprint, 2023.