Preprints
B. Gebhard, L. Niebel, C. Seis: On Leonardo da Vinci's paradox. arXiv:2609.26283.
Journal Publications
B. Gebhard, J. J. Kolumbán: The Rayleigh-Taylor instability with local energy dissipation. Math. Ann. 393 (2025), 3283-3336. Link
Á. Castro, D. Faraco, B. Gebhard: Entropy solutions to the macroscopic incompressible porous media equation. Analysis & PDE 18(9) (2025), 2241-2292. Link
B. Gebhard: On the energy-constrained optimal mixing problem for one-dimensional initial configurations. Nonlinearity 38(9) (2025) Link
B. Gebhard, J. Hirsch, J. J. Kolumbán: On a degenerate elliptic problem arising in the least action principle for Rayleigh-Taylor subsolutions. Ann. Inst. H. Poincaré C Anal. Non Linéaire 41(6) (2024), 1527-1594. Link
B. Gebhard, J. J. Kolumbán: On bounded two-dimensional globally dissipative Euler flows. SIAM J. Math. Anal. 54(3) (2022), 3457-3479. Link
B. Gebhard, J. J. Kolumbán: Relaxation of the Boussinesq system and applications to the Rayleigh-Taylor instability. Nonlinear Differ. Equ. Appl. 29(7) (2022). Link
B. Gebhard, J. J. Kolumbán, L. Székelyhidi Jr.: A new approach to the Rayleigh-Taylor instability. Arch. Rational Mech. Anal. 241 (2021), 1243-1280. Link
Y. O. Belyaeva, B. Gebhard, A. L. Skubachevskii: A general way to confined stationary Vlasov-Poisson plasma configurations. Kinetic & Related Models 14(2) (2021), 257-282. Link
B. Gebhard, R. Ortega: Stability of periodic solutions of the N-vortex problem in general domains. Regul. Chaot. Dyn. 24 (2019), 649-670. Link
B. Gebhard: Periodic solutions for the N-vortex problem via a superposition principle. Discrete Contin. Dyn. Syst. Ser. A 38(11) (2018), 5443-5460. Link
B. Gebhard: A note concerning a property of symplectic matrices. Comm. Pure Appl. Anal. 17(5) (2018), 2135-2137. Link
T. Bartsch, Q. Dai, B. Gebhard: Periodic solutions of N-vortex type Hamiltonian systems near the domain boundary. SIAM J. Appl. Math. 78(2) (2018), 977-995. Link
T. Bartsch, B. Gebhard: Global continua of periodic solutions of singular first-order Hamiltonian systems of N-vortex type. Math. Ann. 369(1-2) (2017), 627-651. Link
Thesis
B. Gebhard: An equivariant degree and periodic solutions of the N-vortex problem. Justus-Liebig Universität Gießen (2018) Link