An epiperimetric inequality for odd frequencies in the thin obstacle problem

Autor: Carducci, Matteo, Velichkov, Bozhidar

We prove an epiperimetric inequality for the thin obstacle Weiss' energy with odd frequencies and we apply it to solutions to the thin obstacle problem with general $C^{k,\gamma}$ obstacle. In particular, we obtain the rate of convergence of the blow

Externí odkaz: http://arxiv.org/abs/2409.12110

On the boundary branching set of the one-phase problem

Autor: Ferreri, Lorenzo, Spolaor, Luca, Velichkov, Bozhidar

We consider minimizers of the one-phase Bernoulli free boundary problem in domains with analytic fixed boundary. In any dimension $d$, we prove that the branching set at the boundary has Hausdorff dimension at most $d-2$. As a consequence, we also ob

Externí odkaz: http://arxiv.org/abs/2407.15230

On the fine structure of the solutions to nonlinear thin two-membrane problems in 2D

Autor: Ferreri, Lorenzo, Spolaor, Luca, Velichkov, Bozhidar

We prove a structure theorem for the solutions of nonlinear thin two-membrane problems in dimension two. Using the theory of quasi-conformal maps, we show that the difference of the sheets is topologically equivalent to a solution of the linear thin

Externí odkaz: http://arxiv.org/abs/2405.05799

The BM@N spectrometer at the NICA accelerator complex

Autor: Afanasiev, S., Agakishiev, G., Aleksandrov, E., Aleksandrov, I., Alekseev, P., Alishina, K., Astakhov, V., Atkin, E., Aushev, T., Azorskiy, V., Babkin, V., Balashov, N., Barak, R., Baranov, A., Baranov, D., Baranova, N., Barbashina, N., Baznat, M., Bazylev, S., Belov, M., Blau, D., Bocharnikov, V., Bogdanova, G., Bolozdynya, A., Bondar, E., Boos, E., Buryakov, M., Buzin, S., Chebotov, A., Chemezov, D., Chen, J. H., Demanov, A., Dementev, D., Dmitriev, A., Drnoyan, J., Dryablov, D., Dryuk, A., Dubinchik, B., Dulov, P., Egorov, A., Egorov, D., Elsha, V., Fediunin, A., Fedosimova, A., Filippov, I., Filozova, I., Finogeev, D., Gabdrakhmanov, I., Galavanov, A., Gavrischuk, O., Gertsenberger, K., Golosov, O., Golovatyuk, V., Grigoriev, P., Golubeva, M., Guber, F., Ibraimova, S., Idrisov, D., Idrissova, T., Iusupova, A., Ivashkin, A., Izvestnyy, A., Kabadzhov, V., Kanokova, Sh., Kapishin, M., Kapitonov, I., Karjavin, V., Karmanov, D., Karpushkin, N., Kattabekov, R., Kekelidze, V., Khabarov, S., Kharlamov, P., Khudaiberdyev, G., Khukhaeva, A., Khvorostukhin, A., Kiryushin, Yu., Klimai, P., Kolesnikov, V., Kolozhvari, A., Kopylov, Yu., Korolev, M., Kovachev, L., Kovalev, I., Kruglova, I., Kovalev, Yu., Kozlov, I., Kozlov, V., Kuklin, S., Kulish, E., Kurganov, A., Kutergina, V., Kuznetsov, A., Ladygin, E., Lanskoy, D., Lashmanov, N., Lebedev, I., Lenivenko, V., Lednicky, R., Leontiev, V., Liapin, D., Litvinenko, E., Ma, Y. G., Makankin, A., Makhnev, A., Malakhov, A., Mamaev, M., Martemianov, A., Martovitsky, E., Mashitsin, K., Merkin, M., Merts, S., Morozov, S., Murin, Yu., Musaev, K., Musulmanbekov, G., Myasnikov, A., Myktybekov, D., Nagdasev, R., Nemnyugin, S., Nikitin, D., Novozhilov, S., Olimov, Kh., Olimov, K., Palichik, V., Parfenov, P., Pelevanyuk, I., Peresunko, D., Piyadin, S., Platonova, M., Plotnikov, V., Podgainy, D., Pukhaeva, N., Ratnikov, F., Reshetova, S., Rogov, V., Romanov, I., Rufanov, I., Rukoyatkin, P., Rumyantsev, M., Rybakov, T., Sakulin, D., Sedykh, S., Serebryakov, D., Shabanov, A., Segal, I., Semak, A., Sergeev, S., Serikkanov, A., Sheremetev, A., Sheremeteva, A., Shchipunov, A., Shitenkov, M., Shopova, M., Shumikhin, V., Shutov, A., Shutov, V., Shodmonov, M., Slepnev, I., Slepnev, V., Slepov, I., Smirnov, A., Smolyanin, T., Solomin, A., Sorin, A., Sosnovtsev, V., Spaskov, V., Stavinskiy, A., Stekhanov, V., Stepanenko, Yu., Streletskaya, E., Streltsova, O., Strikhanov, M., Sukhov, E., Suvarieva, D., Taer, G., Taranenko, A., Tarasov, N., Tarasov, O., Teremkov, P., Terletsky, A., Teryaev, O., Tcholakov, V., Tikhomirov, V., Timoshenko, A., Tojiboev, O., Topilin, N., Tretyakova, T., Troshin, V., Truttse, A., Tserruya, I., Tskhay, V., Tyapkin, I., Ustinov, V., Vasendina, V., Velichkov, V., Volkov, V., Voronin, A., Voytishin, N., Yuldashev, B., Yurevich, V., Zamiatin, N., Zavertyaev, M., Zhang, S., Zhavoronkova, I., Zhezher, V., Zhigareva, N., Zinchenko, A., Zubankov, A., Zubarev, E., Zuev, M.

BM@N (Baryonic Matter at Nuclotron) is the first experiment operating and taking data at the Nuclotron/NICA ion-accelerating complex.The aim of the BM@N experiment is to study interactions of relativistic heavy-ion beams with fixed targets. We presen

Externí odkaz: http://arxiv.org/abs/2312.17573

On the dimension of the singular set in optimization problems with measure constraint

Autor: Mazzoleni, Dario, Tortone, Giorgio, Velichkov, Bozhidar

In this paper, we prove estimates on the dimension of the singular part of the free boundary for solutions to shape optimization problems with measure constraints. The focus is on the heat conduction problem studied by Aguilera, Caffarelli, and Spruc

Externí odkaz: http://arxiv.org/abs/2310.06591