Publikationen

The three limits of the hydrostatic approximation
(with Ken Furukawa, Yoshikazu Giga, Matthias Hieber, Takahito Kashiwabara, Marc Wrona)
J. Lond. Math. Soc. (2), 2025, Paper No. e70130, 43, DOI
The stochastic primitive equations with nonisothermal turbulent pressure
(with Antonio Agresti, Matthias Hieber, Martin Saal)
Ann. Appl. Probab., 2025, 635–700, DOI
Remark on the local well-posedness of compressible non-Newtonian fluids with initial vacuum
(with Hind Al Baba, Bilal Al Taki)
J. Math. Fluid Mech., 2024, Paper No. 68, 18, DOI
Strong well-posedness of the Q-tensor model for liquid crystals: the case of arbitrary ratio of tumbling and aligning effects ξ
(with Matthias Hieber, Marc Wrona)
Arch. Ration. Mech. Anal., 2024, Paper No. 40, 22, DOI
The stochastic primitive equations with transport noise and turbulent pressure
(with Antonio Agresti, Matthias Hieber, Martin Saal)
Stoch. Partial Differ. Equ. Anal. Comput., 2024, 53–133, DOI
The primitive equations with stochastic wind driven boundary conditions
(with Tim Binz, Matthias Hieber, Martin Saal)
J. Math. Pures Appl. (9), 2024, 76–101, DOI
Maximal Lp-regularity and H-calculus for block operator matrices and applications
(with Antonio Agresti)
J. Funct. Anal., 2023, Paper No. 110146, 69, DOI
Global strong well-posedness of the stochastic bidomain equations with FitzHugh-Nagumo transport
(with Matthias Hieber, Martin Saal)
SIAM J. Math. Anal., 2023, 4140–4161, DOI
The primitive equations in the scaling-invariant space L(L1)
(with Yoshikazu Giga, Mathis Gries, Matthias Hieber, Takahito Kashiwabara)
J. Evol. Equ., 2021, 4145–4169, DOI
If time were a graph, what would evolution equations look like?
(with Delio Mugnolo)
J. Evol. Equ., 2021, 2837–2876, DOI
Hidden symmetries in non-self-adjoint graphs
Comm. Partial Differential Equations, 2021, 1674–1728, DOI
Primitive equations with horizontal viscosity: the initial value and the time-periodic problem for physical boundary conditions
(with Martin Saal, Marc Wrona)
Discrete Contin. Dyn. Syst., 2021, 3063–3092, DOI
An approach to the primitive equations for oceanic and atmospheric dynamics by evolution equations
(with Matthias Hieber)
In: Fluids under pressure, Adv. Math. Fluid Mech., Birkhäuser/Springer, Cham, 2020, 1–109, DOI
Rigorous justification of the hydrostatic approximation for the primitive equations by scaled Navier–Stokes equations
(with Ken Furukawa, Yoshikazu Giga, Matthias Hieber, Takahito Kashiwabara, Marc Wrona)
Nonlinearity, 2020, 6502–6516, DOI
Laplacians with point interactions—expected and unexpected spectral properties
(with Delio Mugnolo)
In: Semigroups of operators—theory and applications, Springer Proc. Math. Stat., vol. 325, Springer, Cham, 2020, 47–67, DOI
Partial and full hyper-viscosity for Navier–Stokes and primitive equations
J. Differential Equations, 2020, 3003–3030, DOI
The hydrostatic Stokes semigroup and well-posedness of the primitive equations on spaces of bounded functions
(with Yoshikazu Giga, Mathis Gries, Matthias Hieber, Takahito Kashiwabara)
J. Funct. Anal., 2020, Paper No. 108561, 46, DOI
Analyticity of solutions to the primitive equations
(with Yoshikazu Giga, Mathis Gries, Matthias Hieber, Takahito Kashiwabara)
Math. Nachr., 2020, 284–304, DOI
Primitive equations with linearly growing initial data
(with Martin Saal, Okihiro Sawada)
Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), 2019, 889–911, DOI
Nematic liquid crystals in Lipschitz domains
(with Anupam Pal Choudhury, Patrick Tolksdorf)
SIAM J. Math. Anal., 2018, 4282–4310, DOI
Bounded H-calculus for the hydrostatic Stokes operator on Lp-spaces and applications
(with Yoshikazu Giga, Mathis Gries, Matthias Hieber, Takahito Kashiwabara)
Proc. Amer. Math. Soc., 2017, 3865–3876, DOI
Global strong Lp well-posedness of the 3D primitive equations with heat and salinity diffusion
(with Matthias Hieber, Takahito Kashiwabara)
J. Differential Equations, 2016, 6950–6981, DOI
Non-self-adjoint graphs
(with David Krejčířík, Petr Siegl)
Trans. Amer. Math. Soc., 2015, 2921–2957, DOI
Sign-indefinite second-order differential operators on finite metric graphs
Rev. Math. Phys., 2014, 1430003, 55, DOI
Maximal quasi-accretive Laplacians on finite metric graphs
J. Evol. Equ., 2014, 477–497, DOI
Bounds on the negative eigenvalues of Laplacians on finite metric graphs
Integral Equations Operator Theory, 2013, 381–401, DOI
Quantum graphs with mixed dynamics: the transport/diffusion case
(with Delio Mugnolo)
J. Phys. A, 2013, 235202, 19, DOI