Ultraviolet Complete Electroweak Model Without a Higgs Particle

An electroweak model with running coupling constants described by an energy dependent entire function is utraviolet complete and avoids unitarity violations for energies above 1 TeV. The action contains no physical scalar fields and no Higgs particle and the physical electroweak model fields are local and satisfy microcausality. The $W$ and $Z$ masses are compatible with a symmetry breaking $SU(2)_L\times U(1)_Y \rightarrow U(1)_{\rm em}$, which retains a massless photon. The vertex couplings possess an energy scale $\Lambda_W > 1$ TeV predicting scattering amplitudes that can be tested at the LHC.Comment: 19 pages, no figures, LaTex file. Equation and text corrected. Reference added. Results remain the same. Final version published in European Physics Journal Plus, 126 (2011

Isometric Immersions and Compensated Compactness

A fundamental problem in differential geometry is to characterize intrinsic metrics on a two-dimensional Riemannian manifold ${\mathcal M}^2$ which can be realized as isometric immersions into $\R^3$. This problem can be formulated as initial and/or boundary value problems for a system of nonlinear partial differential equations of mixed elliptic-hyperbolic type whose mathematical theory is largely incomplete. In this paper, we develop a general approach, which combines a fluid dynamic formulation of balance laws for the Gauss-Codazzi system with a compensated compactness framework, to deal with the initial and/or boundary value problems for isometric immersions in $\R^3$. The compensated compactness framework formed here is a natural formulation to ensure the weak continuity of the Gauss-Codazzi system for approximate solutions, which yields the isometric realization of two-dimensional surfaces in $\R^3$. As a first application of this approach, we study the isometric immersion problem for two-dimensional Riemannian manifolds with strictly negative Gauss curvature. We prove that there exists a $C^{1,1}$ isometric immersion of the two-dimensional manifold in $\R^3$ satisfying our prescribed initial conditions. TComment: 25 pages, 6 figue

Origins of the Ambient Solar Wind: Implications for Space Weather

The Sun's outer atmosphere is heated to temperatures of millions of degrees, and solar plasma flows out into interplanetary space at supersonic speeds. This paper reviews our current understanding of these interrelated problems: coronal heating and the acceleration of the ambient solar wind. We also discuss where the community stands in its ability to forecast how variations in the solar wind (i.e., fast and slow wind streams) impact the Earth. Although the last few decades have seen significant progress in observations and modeling, we still do not have a complete understanding of the relevant physical processes, nor do we have a quantitatively precise census of which coronal structures contribute to specific types of solar wind. Fast streams are known to be connected to the central regions of large coronal holes. Slow streams, however, appear to come from a wide range of sources, including streamers, pseudostreamers, coronal loops, active regions, and coronal hole boundaries. Complicating our understanding even more is the fact that processes such as turbulence, stream-stream interactions, and Coulomb collisions can make it difficult to unambiguously map a parcel measured at 1 AU back down to its coronal source. We also review recent progress -- in theoretical modeling, observational data analysis, and forecasting techniques that sit at the interface between data and theory -- that gives us hope that the above problems are indeed solvable.Comment: Accepted for publication in Space Science Reviews. Special issue connected with a 2016 ISSI workshop on "The Scientific Foundations of Space Weather." 44 pages, 9 figure

Linear algebra and multidimensional geometry

495 p.; 20 cm

ГОРНОПРОМЫШЛЕННЫЙ РЕГИОН КАК ОБЪЕКТ МОНИТОРИНГА ВЫБРОСОВ ПАРНИКОВЫХ ГАЗОВ

The concept of low-carbon development and the main lines of the new climatic agreement are given. It is noted that a priority in case of mitigation of anthropogenous impact on climatic system is creation of system of accounting of emissions of greenhouse gases, work on which is conducted in our country now. It is shown that the approved concept offorming of system of monitoring, the reporting and check of amount of emissions of greenhouse gases is a basis for implementation of potential of emission reduction of greenhouse gases in regions of Russia. Stages which implementation will allow to achieve the objectives of low-carbon development of the mining region are formulated.Приведены понятие низкоуглеродного развития и основные черты нового климатического соглашения. Отмечено, что первоочередной задачей при смягчении антропогенного воздействия на климатическую систему является создание системы учета выбросов парниковых газов, работа над которой в настоящее время ведется в нашей стране. Показано, что утвержденная концепция формирования системы мониторинга, отчетности и проверки объема выбросов парниковых газов является основой для реализации потенциала сокращения выбросов парниковых газов в регионах России. Сформулированы этапы, реализация которых позволит достичь цели низкоуглеродного развития горнопромышленного региона

METHODOLOGICAL APPROACH TO MODELING PROCESS OF NATURE MANAGEMENT

The methodological approach, which can promote of theoretical and practical solving environmental problems of different industrial complexes and industrial high level systems, is submitted. Indexes of industrial-environmental perfection of an enterprise and environmental profitability of industry were proposed

ГОРНОПРОМЫШЛЕННЫЙ РЕГИОН КАК ОБЪЕКТ МОНИТОРИНГА ВЫБРОСОВ ПАРНИКОВЫХ ГАЗОВ

The concept of low-carbon development and the main lines of the new climatic agreement are given. It is noted that a priority in case of mitigation of anthropogenous impact on climatic system is creation of system of accounting of emissions of greenhouse gases, work on which is conducted in our country now. It is shown that the approved concept offorming of system of monitoring, the reporting and check of amount of emissions of greenhouse gases is a basis for implementation of potential of emission reduction of greenhouse gases in regions of Russia. Stages which implementation will allow to achieve the objectives of low-carbon development of the mining region are formulated.Приведены понятие низкоуглеродного развития и основные черты нового климатического соглашения. Отмечено, что первоочередной задачей при смягчении антропогенного воздействия на климатическую систему является создание системы учета выбросов парниковых газов, работа над которой в настоящее время ведется в нашей стране. Показано, что утвержденная концепция формирования системы мониторинга, отчетности и проверки объема выбросов парниковых газов является основой для реализации потенциала сокращения выбросов парниковых газов в регионах России. Сформулированы этапы, реализация которых позволит достичь цели низкоуглеродного развития горнопромышленного региона

METHODOLOGICAL APPROACH TO MODELING PROCESS OF NATURE MANAGEMENT

The methodological approach, which can promote of theoretical and practical solving environmental problems of different industrial complexes and industrial high level systems, is submitted. Indexes of industrial-environmental perfection of an enterprise and environmental profitability of industry were proposed