{"title":"On an estimate for of an elliptic problem the solution in a domain with an infinite boundary","authors":"Mikhail Yakovlevich Spiridonov","doi":"10.20948/mathmontis-2023-56-5","DOIUrl":"https://doi.org/10.20948/mathmontis-2023-56-5","url":null,"abstract":"An a priori estimate for the solution of an elliptic boundary value problem in a domain with an infinite boundary is proved. In this case, a certain regularity of the structure of the domain in the vicinity of infinity is assumed. Similar estimates are known for solutions of boundary value problems in bounded and unbounded domains, but with compact boundaries, as well as in a half-space (the boundary of which is a hyperplane).","PeriodicalId":170315,"journal":{"name":"Mathematica Montisnigri","volume":"294 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122955138","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On some new boundary properties of normal harmonic functions","authors":"S. Berberyan, R. Dallakyan","doi":"10.20948/mathmontis-2023-56-6","DOIUrl":"https://doi.org/10.20948/mathmontis-2023-56-6","url":null,"abstract":"In this paper, some boundary properties of normal harmonic functions defined in the unit circle D are investigated. Similar results for meromorphic and holomorphic functions defined in D were considered in the works of Professor V. I. Gavrilov and other authors. Next, we consider the question of the existence of irregular points for harmonic functions","PeriodicalId":170315,"journal":{"name":"Mathematica Montisnigri","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114726337","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Monte Carlo modeling of the photon-electron cascade in heterogeneous matter","authors":"M. Markov, R. Uskov, M. Zhukovskiy","doi":"10.20948/mathmontis-2019-46-5","DOIUrl":"https://doi.org/10.20948/mathmontis-2019-46-5","url":null,"abstract":"","PeriodicalId":170315,"journal":{"name":"Mathematica Montisnigri","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130184417","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Fragments of dynamic of Möebious mappings and some applications. Part I","authors":"Ž. Pavićević, Jela Šušić","doi":"10.20948/MATHMONTIS-2019-46-4","DOIUrl":"https://doi.org/10.20948/MATHMONTIS-2019-46-4","url":null,"abstract":"In this article we prove that a continuous mapping on a simply-connected domain of the extended complex plane, which is normal with respect to the cycle group of all conformal automorphisms of the domain with a fixed attractive point, which belongs to the domain is a constant function. Applying this result we obtain new proofs of the classical Theorem of Liouville and little Picard Theorem for holomorphic, meromorphic and harmonic functions in complex plane. We also prove some results from the dynamic of Möbius mappings.","PeriodicalId":170315,"journal":{"name":"Mathematica Montisnigri","volume":"41 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132383774","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
G. K. Borovin, A. V. Grushevskii, A. G. Tuchin, D. Tuchin
{"title":"Russian exploration of Venus: past and prospects","authors":"G. K. Borovin, A. V. Grushevskii, A. G. Tuchin, D. Tuchin","doi":"10.20948/mathmontis-2019-45-12","DOIUrl":"https://doi.org/10.20948/mathmontis-2019-45-12","url":null,"abstract":"Secure methods of the cost-effective flights to Venus and the passage of its gravity sphere are necessary to increase the amount of scientific and service equipment on board spacecraft and effectively exploration of the solar system. The results of the modern methods of ballistics design using for interplanetary flights to Venus are given with the purpose of entering the Venusian satellite orbit and for the landing on its surface. The main attention devotes to the construction of the launch windows and to the calculation of the reachability areas of the descent vehicle on the surface of Venus.","PeriodicalId":170315,"journal":{"name":"Mathematica Montisnigri","volume":"49 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123666992","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
N. Churbanova, A. Chechina, M. Trapeznikova, P. Sokolov
{"title":"Simulation of traffic flows on road segments using cellular automata theory and quasigasdynamic approach","authors":"N. Churbanova, A. Chechina, M. Trapeznikova, P. Sokolov","doi":"10.20948/MATHMONTIS-2019-46-7","DOIUrl":"https://doi.org/10.20948/MATHMONTIS-2019-46-7","url":null,"abstract":"","PeriodicalId":170315,"journal":{"name":"Mathematica Montisnigri","volume":"61 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124685565","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
V. Mazhukin, O. Koroleva, M. Demin, A. A. Aleksashkina
{"title":"Atomistic modeling of the properties of gold in the region of phase transitions of the first order","authors":"V. Mazhukin, O. Koroleva, M. Demin, A. A. Aleksashkina","doi":"10.20948/mathmontis-2022-55-6","DOIUrl":"https://doi.org/10.20948/mathmontis-2022-55-6","url":null,"abstract":"The article presents the results of atomistic modeling of the equilibrium thermophysical properties of gold in a wide temperature range (T~ 0.3–3.50 kK), covering the regions of first-order phase transitions of melting and evaporation. The temperature dependences of the density, linear size of the sample, coefficient of linear expansion, enthalpy, and heat capacity are determined. The obtained dependences of the properties of gold are approximated by polynomials of low degrees. There is an acceptable agreement between the obtained characteristics of gold and the experimental data. Numerical and graphic information on the obtained properties and results of comparison with experimental data is presented.","PeriodicalId":170315,"journal":{"name":"Mathematica Montisnigri","volume":"39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114599015","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Numerical modelling via INMOST software platform","authors":"I. Konshin, K. Terekhov, Y. V. Vassilevski","doi":"10.20948/mathmontis-2020-47-7","DOIUrl":"https://doi.org/10.20948/mathmontis-2020-47-7","url":null,"abstract":"INMOST is a software platform for the development of parallel numerical models on general polyhedral grids. In this paper we present the INMOST platform as the powerful tool for numerical modelling. The place of INMOST platform among other modern widespread libraries and numerical modelling packages is shown. A brief overview of tools that help in implementation of each stage of mathematical modelling is presented. Examples of INMOST application demonstrate appealing features of INMOST-based numerical modelling.","PeriodicalId":170315,"journal":{"name":"Mathematica Montisnigri","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121908262","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
O. Olkhovskaya, Alexander Yurievich Krukovsky, Y. Poveschenko, Y. Sharova, V. Gasilov
{"title":"ALE-MHD technique for modeling three-dimensional magnetic implosion of a liner","authors":"O. Olkhovskaya, Alexander Yurievich Krukovsky, Y. Poveschenko, Y. Sharova, V. Gasilov","doi":"10.20948/MATHMONTIS-2021-50-11","DOIUrl":"https://doi.org/10.20948/MATHMONTIS-2021-50-11","url":null,"abstract":"The article is devoted to the methodology for modeling current-carrying plasma in a Z-pinch studied in pulsed-power experiments. We discuss simulation performed via moving Lagrangian-Euler difference grid. The difference scheme approximating the hydrodynamic equations of a high-temperature medium possesses a “complete conservation” property and includes energy balances between the plasma components taking into account electromagnetic field – matter interaction and conductive (electronic, ionic) as well as radiative heat transfer. Numerical experiments provide quantitative estimates of physical effects which lead to essential distortions of a plasma shell during its magnetically-driven implosion. Performed simulations show the effect of instabilities on the final pinch structure, mainly, the hydrodynamic Rayleigh-Taylor instability and instability of a temperature-inhomogeneous plasma","PeriodicalId":170315,"journal":{"name":"Mathematica Montisnigri","volume":"274 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122763357","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Modeling of thermal conductivity of Si in the range from the normal to near-critical conditions","authors":"O. Koroleva, M. Demin, V. Mazhukin, A. Mazhukin","doi":"10.20948/mathmontis-2019-45-7","DOIUrl":"https://doi.org/10.20948/mathmontis-2019-45-7","url":null,"abstract":"","PeriodicalId":170315,"journal":{"name":"Mathematica Montisnigri","volume":"425 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123365762","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}