{"title":"Zum deterministischen und stochastischen Effekt des Materie-Energie-Feldes","authors":"G. Rosemeier","doi":"10.51202/9783186621061","DOIUrl":"https://doi.org/10.51202/9783186621061","url":null,"abstract":"In der Relativitätstheorie ist von Einstein die Kraftwirkung von Massen richtig ermittelt worden (deterministisches Konzept), dagegen ist die elektrostatische Wechselwirkung problematisch, da sie nur durch Differentiation der Energieanteile zu lösen ist (stochastisches Konzept). Inhaltsverzeichnis Zum deterministischen und stochastischen Effekt des Materie-Energie-Feldes 2 1 Einleitung 2 2 Zum deterministischen Konzept des Materie-Energie-Feldes 2 3 Zum stochastischen Konzept des Materie-Energie-Feldes 3 4 Zusammenfassung 6 Literatur 7 ...","PeriodicalId":49686,"journal":{"name":"Pmm Journal of Applied Mathematics and Mechanics","volume":"31 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82069419","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":"Optimization of the flight trajectory of a non-manoeuvrable aircraft to minimize fuel consumption by the dynamic programming method","authors":"N. Grevtsov, S. Kumakshev, A. Shmatkov","doi":"10.1016/J.JAPPMATHMECH.2018.03.004","DOIUrl":"https://doi.org/10.1016/J.JAPPMATHMECH.2018.03.004","url":null,"abstract":"","PeriodicalId":49686,"journal":{"name":"Pmm Journal of Applied Mathematics and Mechanics","volume":"39 1","pages":"368-374"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74424800","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":"Evolution of perturbations on a steady weakly inhomogeneous background. Complex Hamiltonian equations","authors":"A.G. Kulikovskii","doi":"10.1016/j.jappmathmech.2017.07.001","DOIUrl":"10.1016/j.jappmathmech.2017.07.001","url":null,"abstract":"<div><p>The evolution of linear unidimensional perturbations on a steady weakly inhomogeneous background, that is, on a background that depends on the coordinate <em>x</em> through the ratio <em>x</em>/<em>L</em> where <em>L</em> is a large scale, is studied. The perturbation evolution time <em>T</em> is considered to be quite large such that the perturbations succeed in propagating over a distance comparable with <em>L</em>, and the inhomogeneity of the background is manifested in the behaviour of the perturbations. Perturbations, generated by a time-limited external action localized in a small domain, are considered in detail. It is assumed that local instability conditions are satisfied in the whole of the domain considered or a part of it, that is, it is assumed that, if the background parameters are “frozen” and assumed to be homogeneous, growing perturbations will exist for states corresponding to a certain domain of values of <em>x</em>/<em>L</em><span>. A procedure, based on a Fourier transform<span> and the use of the steepest descent method, is formulated for finding the asymptotics of the perturbations at large values of </span></span><em>L</em> and <em>T</em><span><span>. The perturbations can be described by complex Hamiltonian<span> equations in which the Hamiltonian is a frequency expressed from the dispersion equation as a function of the wave number and coordinate. In the case of instability, these quantities are complex. The relation between the asymptotics obtained and the </span></span>eigenfunctions of the problem is considered. An example of constructing the asymptotics of the intensification factor is presented; they are identical, within the limits of the assumed accuracy, to the intensification factor found from the exact solution of the problem constructed. The existence of eigenfunctions is pointed out and the corresponding characteristic frequencies are estimated.</span></p></div>","PeriodicalId":49686,"journal":{"name":"Pmm Journal of Applied Mathematics and Mechanics","volume":"81 1","pages":"Pages 1-10"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jappmathmech.2017.07.001","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77451872","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":"Asymmetric separated flow about a Nikolsky wing with a protrusion","authors":"A.M. Gaifullin, V.V. Zhvik","doi":"10.1016/j.jappmathmech.2018.03.005","DOIUrl":"10.1016/j.jappmathmech.2018.03.005","url":null,"abstract":"<div><p><span>The flow of an inviscid incompressible fluid<span> about a wing of low aspect ratio with a parabolic </span></span>planform<span><span> (a Nikolsky wing) is investigated; a protrusion, whose height grows according to a parabolic law<span>, is mounted on the leeward side of the wing in the symmetry plane. It is shown that for </span></span>symmetric boundary conditions, along with a symmetric solution, an asymmetric solution also exists. The dependence of the asymmetric solution on the wing geometry is examined. It is shown that critical values of the wing curvature and the height of the protrusion exist, for which the asymmetric solution continuously transitions to the symmetric one. In addition, it is shown that a limit asymmetric solution exists which corresponds to an infinitely large protrusion. The stability of the solutions found is discussed.</span></p></div>","PeriodicalId":49686,"journal":{"name":"Pmm Journal of Applied Mathematics and Mechanics","volume":"81 5","pages":"Pages 375-383"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jappmathmech.2018.03.005","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73167800","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":"Modelling of a continuously inhomogeneous coating of an elastic sphere by a system of homogeneous elastic layers in the problem of sound scattering","authors":"L. A. Tolokonnikov","doi":"10.1016/J.JAPPMATHMECH.2018.03.017","DOIUrl":"https://doi.org/10.1016/J.JAPPMATHMECH.2018.03.017","url":null,"abstract":"","PeriodicalId":49686,"journal":{"name":"Pmm Journal of Applied Mathematics and Mechanics","volume":"42 1","pages":"480-485"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88835810","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":"Characteristic features of the process of wear of a punch and a thin elastic strip with non-uniform friction and wear parameters","authors":"I.A. Soldatenkov","doi":"10.1016/j.jappmathmech.2018.03.019","DOIUrl":"https://doi.org/10.1016/j.jappmathmech.2018.03.019","url":null,"abstract":"<div><p>An analytical solution of the problem on the wear of a punch sliding on a thin elastic strip under the condition that they are in complete contact is given for variable friction and wear coefficients. The particular case of a wavy punch (periodic problem) is considered. Some distinguishing features of the process of wear in the transient regime are revealed. It is established, for example, that the contact pressure distribution curve can have a narrow local maximum (peak), significantly exceeding the average level of the contact pressure in magnitude.</p></div>","PeriodicalId":49686,"journal":{"name":"Pmm Journal of Applied Mathematics and Mechanics","volume":"81 6","pages":"Pages 492-498"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jappmathmech.2018.03.019","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91717152","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":"Group analysis of a one-dimensional model of gas flow in a porous medium","authors":"S.V. Khabirov","doi":"10.1016/j.jappmathmech.2017.12.010","DOIUrl":"10.1016/j.jappmathmech.2017.12.010","url":null,"abstract":"<div><p><span><span>A potential has been introduced with based on a conservation law for the simplest one-dimensional model of gas flow in a </span>porous medium. The admissible </span>Lie algebra<span> of this model with this potential is extended by a new transport operator. An optimal system of non-similar subalgebras has been constructed. For one-dimensional subalgebras, all invariant sub-models have been considered and the solutions have been investigated qualitatively. Group analysis can be extended by a consideration of differentially invariant sub-models for subalgebras of greater dimension.</span></p></div>","PeriodicalId":49686,"journal":{"name":"Pmm Journal of Applied Mathematics and Mechanics","volume":"81 4","pages":"Pages 334-340"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jappmathmech.2017.12.010","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83119509","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":"Time dependence of the attainability regions of third order systems","authors":"D.I. Bugrov, A.M. Formal'skii","doi":"10.1016/j.jappmathmech.2017.08.004","DOIUrl":"10.1016/j.jappmathmech.2017.08.004","url":null,"abstract":"<div><p>A linear steady third order system with one controlling (perturbing) action that is bounded in absolute magnitude is considered. The matrix specifying the system has one real and two complex conjugate eigenvalues<span>. The behaviour of the boundary of the attainability<span> region of this system as time increases is studied. It is shown that the structure of the boundary of the attainability region depends on the relation between the real eigenvalue and the real part of the complex conjugate eigenvalues.</span></span></p></div>","PeriodicalId":49686,"journal":{"name":"Pmm Journal of Applied Mathematics and Mechanics","volume":"81 2","pages":"Pages 106-113"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jappmathmech.2017.08.004","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83159607","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":"Internal gravity waves excited by a pulsating perturbation source","authors":"V. Bulatov, Y. Vladimirov","doi":"10.1016/J.JAPPMATHMECH.2018.03.006","DOIUrl":"https://doi.org/10.1016/J.JAPPMATHMECH.2018.03.006","url":null,"abstract":"","PeriodicalId":49686,"journal":{"name":"Pmm Journal of Applied Mathematics and Mechanics","volume":"22 1","pages":"384-389"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91304927","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":"Optimization of the flight trajectory of a non-manoeuvrable aircraft to minimize fuel consumption by the dynamic programming method","authors":"N.M. Grevtsov , S.A. Kumakshev , A.M. Shmatkov","doi":"10.1016/j.jappmathmech.2018.03.004","DOIUrl":"https://doi.org/10.1016/j.jappmathmech.2018.03.004","url":null,"abstract":"<div><p>Using Bellman's dynamic programming method<span>, a fuel-consumption optimum flight trajectory of a typical mid-range aircraft is constructed for a prescribed range. The optimum trajectory was calculated for the full model of motion of the aircraft along a trajectory in a vertical plane. Optimization was realized simultaneously for the whole trajectory without decomposing the process into individual steps. The method made it possible to take into account all restrictions imposed both by technical peculiarities of the aircraft and also by other requirements – safety and comfort of the passengers.</span></p></div>","PeriodicalId":49686,"journal":{"name":"Pmm Journal of Applied Mathematics and Mechanics","volume":"81 5","pages":"Pages 368-374"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jappmathmech.2018.03.004","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90007705","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}