Mathematical problems of the atmospheric electricity theory.
Main publications:
Zhidkov A. A., Kalinin A. V., “Korrektnost odnoi matematicheskoi zadachi atmosfernogo elektrichestva”, Vestnik Nizhegorodskogo gosuniversiteta im. N.I. Lobachevskogo, 2009, № 4, 123–129
Zhidkov A. A., Kalinin A. V., “Nekotorye voprosy matematicheskogo i chislennogo modelirovaniya globalnoi elektricheskoi tsepi v atmosfere”, Vestnik Nizhegorodskogo gosuniversiteta im. N.I. Lobachevskogo, 2009, № 6, 150–158
Zhidkov A. A., Kalinin A. V., Sumin M. I., “Algoritm dvoistvennoi regulyarizatsii v obratnykh zadachakh globalnoi elektricheskoi tsepi”, Vestnik Tambovskogo universiteta. Seriya Estestvennye i tekhnicheskie nauki, 16:4 (2011), 1074–1076
Zhidkov A. A., “O nepreryvnoi zavisimosti reshenii ot dannykh zadachi dlya sistemy uravnenii Maksvella v kvazistatsionarnom elektricheskom priblizhenii”, Vestnik Nizhegorodskogo gosuniversiteta im. N.I. Lobachevskogo, 2011, № 5 (1), 169–173
A. Zhidkov, A. V. Kalinin, A. A. Tyukhtina, “$L_p$-estimations of vector fields in the unbounded areas and some electromagnetic theory problems in the inhomogeneous areas”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2012, no. 1, 3–14