TY - JOUR AB - An experimentally easy to perform method for the generation of alumina-supported Fe3O4 nanoparticles [(6±1) nm size, 0.67 wt %]and the use of this material in hydrazine-mediated heterogeneously catalyzed reductions of nitroarenes to anilines under batch and continuous-flow conditions is presented. The bench-stable, reusable nano-Fe3O4@Al2O3 catalyst can selectively reduce functionalized nitroarenes at 1 mol % catalyst loading by using a 20 mol % excess of hydrazine hydrate in an elevated temperature regime (150 °C, reaction time 2–6 min in batch). For continuous-flow processing, the catalyst material is packed into dedicated cartridges and used in a commercially available high-temperature/-pressure flow device. In continuous mode, reaction times can be reduced to less than 1 min at 150 °C (30 bar back pressure) in a highly intensified process. The nano-Fe3O4@Al2O3 catalyst demonstrated stable reduction of nitrobenzene (0.5 M in MeOH) for more than 10 h on stream at a productivity of 30 mmol h−1 (0.72 mol per day). Importantly, virtually no leaching of the catalytically active material could be observed by inductively coupled plasma MS monitoring. AU - Moghaddam, Mojtaba Mirhosseini AU - Pieber, Bartholomäus AU - Glasnov, Toma AU - Kappe, C. Oliver ID - 11967 IS - 11 JF - ChemSusChem SN - 1864-5631 TI - Immobilized iron oxide nanoparticles as stable and reusable catalysts for hydrazine-mediated nitro reductions in continuous flow VL - 7 ER - TY - JOUR AB - A method for the direct lithiation of terminal alkynes and heterocycles with subsequent carboxylation in a continuous flow format was developed. This method provides carboxylic acids at ambient conditions within less than five seconds with only little excess of the organometallic base and CO2. AU - Pieber, Bartholomäus AU - Glasnov, Toma AU - Kappe, C. O. ID - 11987 IS - 26 JF - RSC Advances TI - Flash carboxylation: Fast lithiation–carboxylation sequence at room temperature in continuous flow VL - 4 ER - TY - JOUR AB - We show that weak solutions of the Derrida-Lebowitz-Speer-Spohn (DLSS) equation display infinite speed of support propagation. We apply our method to the case of the quantum drift-diffusion equation which augments the DLSS equation with a drift term and possibly a second-order diffusion term. The proof is accomplished using weighted entropy estimates, Hardy's inequality and a family of singular weight functions to derive a differential inequality; the differential inequality shows exponential growth of the weighted entropy, with the growth constant blowing up very fast as the singularity of the weight becomes sharper. To the best of our knowledge, this is the first example of a nonnegativity-preserving higher-order parabolic equation displaying infinite speed of support propagation. AU - Julian Fischer ID - 1309 IS - 1 JF - Nonlinear Differential Equations and Applications TI - Infinite speed of support propagation for the Derrida-Lebowitz-Speer-Spohn equation and quantum drift-diffusion models VL - 21 ER - TY - JOUR AB - We derive upper bounds on the waiting time of solutions to the thin-film equation in the regime of weak slippage n ∈ [2, 32\11). In particular, we give sufficient conditions on the initial data for instantaneous forward motion of the free boundary. For n ∈ (2, 32\11), our estimates are sharp, for n = 2, they are sharp up to a logarithmic correction term. Note that the case n = 2 corresponds-with a grain of salt-to the assumption of the Navier slip condition at the fluid-solid interface. We also obtain results in the regime of strong slippage n ∈ (1,2); however, in this regime we expect them not to be optimal. Our method is based on weighted backward entropy estimates, Hardy's inequality and singular weight functions; we deduce a differential inequality which would enforce blowup of the weighted entropy if the contact line were to remain stationary for too long. AU - Julian Fischer ID - 1312 IS - 3 JF - Archive for Rational Mechanics and Analysis TI - Upper bounds on waiting times for the Thin-film equation: The case of weak slippage VL - 211 ER - TY - JOUR AB - We consider directed graphs where each edge is labeled with an integer weight and study the fundamental algorithmic question of computing the value of a cycle with minimum mean weight. Our contributions are twofold: (1) First we show that the algorithmic question is reducible to the problem of a logarithmic number of min-plus matrix multiplications of n×n-matrices, where n is the number of vertices of the graph. (2) Second, when the weights are nonnegative, we present the first (1+ε)-approximation algorithm for the problem and the running time of our algorithm is Õ(nωlog3(nW/ε)/ε),1 where O(nω) is the time required for the classic n×n-matrix multiplication and W is the maximum value of the weights. With an additional O(log(nW/ε)) factor in space a cycle with approximately optimal weight can be computed within the same time bound. AU - Chatterjee, Krishnendu AU - Henzinger, Monika H AU - Krinninger, Sebastian AU - Loitzenbauer, Veronika AU - Raskin, Michael ID - 1375 IS - C JF - Theoretical Computer Science TI - Approximating the minimum cycle mean VL - 547 ER -