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Journal of Applied and Industrial Mathematics最新文献

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Simulation of Substrate Cooling during Evaporation of Pure Vapor from the Surface of a Thin Liquid Film and Droplets 薄液膜和液滴表面纯蒸汽蒸发过程中衬底冷却的模拟
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2023-11-04 DOI: 10.1134/S1990478923030110
A. L. Kupershtokh, D. A. Medvedev, A. V. Alyanov
{"title":"Simulation of Substrate Cooling during Evaporation of Pure Vapor from the Surface of a Thin Liquid Film and Droplets","authors":"A. L. Kupershtokh,&nbsp;D. A. Medvedev,&nbsp;A. V. Alyanov","doi":"10.1134/S1990478923030110","DOIUrl":"10.1134/S1990478923030110","url":null,"abstract":"<p> A numerical study of the process of cooling a substrate under the conditions of\u0000evaporation of pure vapor from the surface of a liquid film and droplets was carried out. The\u0000lattice Boltzmann method was used for modeling such a two-phase system taking into account the\u0000thermal conductivity of the substance and the evaporation. We used the van der Waals equation\u0000of state describing the liquid–vapor phase transition. A new method is proposed for setting the\u0000boundary conditions on a flat surface for modeling the contact wetting angles in the lattice\u0000Boltzmann method. The latent heat of phase transition is taken into account. It is shown that the\u0000process depends on the film thickness and the rate of vapor removal from the film surface. The\u0000cases of forced outflow of vapor, as well as the method of vapor condensation on a cooled\u0000condenser are considered. It is shown that the heat flux from the substrate increases sharply in\u0000the vicinity of the droplet contact lines. A comparison is made of the heat fluxes during the\u0000evaporation of the film and droplets on substrates with different wettabilities.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"17 3","pages":"582 - 591"},"PeriodicalIF":0.58,"publicationDate":"2023-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71909130","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}
引用次数: 0
Central Regulatory Circuit of the Drosophila Mechanoreceptor Morphogenesis System: Effects of Mutations 果蝇机械感受器形态发生系统的中央调节回路：突变的影响
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2023-11-04 DOI: 10.1134/S1990478923030079
D. P. Furman, T. A. Bukharina, V. P. Golubyatnikov
{"title":"Central Regulatory Circuit of the Drosophila Mechanoreceptor Morphogenesis System: Effects of Mutations","authors":"D. P. Furman,&nbsp;T. A. Bukharina,&nbsp;V. P. Golubyatnikov","doi":"10.1134/S1990478923030079","DOIUrl":"10.1134/S1990478923030079","url":null,"abstract":"<p> We describe a mathematical model of the functioning of the central regulatory circuit of\u0000gene networks for the morphogenesis of Drosophila mechanoreceptors taking into account\u0000mutations of the genes included in it. Computational experiments have been carried out showing\u0000the existence of a hierarchy of effects of CRC gene mutations on the production of ASC proteins.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"17 3","pages":"535 - 543"},"PeriodicalIF":0.58,"publicationDate":"2023-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71909197","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}
引用次数: 0
Exact Traveling Wave Solutions of One-Dimensional Models of Cancer Invasion 癌症侵袭一维模型的精确行波解
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2023-11-04 DOI: 10.1134/S1990478923030158
M. V. Shubina
{"title":"Exact Traveling Wave Solutions of One-Dimensional Models of Cancer Invasion","authors":"M. V. Shubina","doi":"10.1134/S1990478923030158","DOIUrl":"10.1134/S1990478923030158","url":null,"abstract":"<p> In this paper, we obtain exact analytical solutions of equations of continuous\u0000mathematical models of tumor growth and invasion based on the model introduced by Chaplain\u0000and Lolas for the case of one spatial dimension. The models consist of a system of three nonlinear\u0000reaction–diffusion–taxis partial differential equations describing the interactions between cancer\u0000cells, the matrix degrading enzyme and the tissue. The obtained solutions are smooth nonnegative\u0000functions depending on the traveling wave variable with certain conditions imposed on model\u0000parameters.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"17 3","pages":"616 - 627"},"PeriodicalIF":0.58,"publicationDate":"2023-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71909125","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}
引用次数: 0
A Difference Method for Calculating the Heat Flux on an Inaccessible Boundary in a Heat Conduction Problem 求解热传导问题中不可接近边界上热通量的差分法
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2023-11-04 DOI: 10.1134/S1990478923030183
S. B. Sorokin
{"title":"A Difference Method for Calculating the Heat Flux on an Inaccessible Boundary in a Heat Conduction Problem","authors":"S. B. Sorokin","doi":"10.1134/S1990478923030183","DOIUrl":"10.1134/S1990478923030183","url":null,"abstract":"<p> The continuation problem for the heat equation is considered. Determining the heat flux\u0000on an inaccessible boundary reduces to an inverse problem. An implicit difference scheme is used\u0000for the numerical solution of the inverse problem. At each time step, the heat flux on the\u0000inaccessible boundary is calculated for the difference analog of the elliptic equation by\u0000an economical direct method. The proposed algorithm substantially expands the range of\u0000problems being solved and can be used to create devices capable of real-time determination of the\u0000heat flux on parts of inhomogeneous structures inaccessible for measurements, for example, on the\u0000inner radius of pipes made of various materials.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"17 3","pages":"651 - 663"},"PeriodicalIF":0.58,"publicationDate":"2023-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71909059","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}
引用次数: 0
On the Equilibrium of Elastic Bodies with a Weakly Curved Junction 具有弱弯曲结点的弹性体的平衡
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2023-11-04 DOI: 10.1134/S1990478923030080
A. M. Khludnev
{"title":"On the Equilibrium of Elastic Bodies with a Weakly Curved Junction","authors":"A. M. Khludnev","doi":"10.1134/S1990478923030080","DOIUrl":"10.1134/S1990478923030080","url":null,"abstract":"<p> The paper addresses the analysis of a boundary value problem with an unknown contact\u0000area that describes equilibrium of two-dimensional elastic bodies with a thin weakly curved\u0000junction. It is assumed that the junction exfoliates from the elastic bodies to form interfacial\u0000cracks. Nonlinear boundary conditions in the form of inequalities are set on the crack faces and\u0000exclude the mutual penetration of the edges. The unique solvability of the boundary value\u0000problem is established. The analysis of passages to the limit as the junction stiffness parameter\u0000tends to infinity and to zero is carried out, and limit models are investigated.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"17 3","pages":"544 - 556"},"PeriodicalIF":0.58,"publicationDate":"2023-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71909198","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}
引用次数: 0
PTAS for Problems of Vector Choice and Clustering with Various Centers 多中心矢量选择和聚类问题的PTAS
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2023-11-04 DOI: 10.1134/S1990478923030134
A. V. Pyatkin
{"title":"PTAS for Problems of Vector Choice and Clustering with Various Centers","authors":"A. V. Pyatkin","doi":"10.1134/S1990478923030134","DOIUrl":"10.1134/S1990478923030134","url":null,"abstract":"<p> We consider two problems that are close in terms of formulation. The first one is that of\u0000clustering, i.e., partitioning the set of\u0000<span>( d )</span>-dimensional Euclidean vectors into a given number of clusters with different\u0000types of centers so that the total variance would be minimum. Here, by variance we mean the sum\u0000of squared distances between the elements of the clusters and their centers. There are three types\u0000of centers: an arbitrary point (clearly, the centroid is the best choice), a point of the initial set\u0000(the so-called medoid), or a fixed point of the space given in advance.. The sizes of the clusters are\u0000also given as part of the input. The second problem under consideration is the problem of\u0000choosing a subset of vectors of fixed cardinality having the minimum sum of squared distances\u0000between its elements and the centroid. Polynomial-time approximation schemes (PTAS) are\u0000constructed for each of these problems.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"17 3","pages":"600 - 607"},"PeriodicalIF":0.58,"publicationDate":"2023-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71909129","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}
引用次数: 0
On Graphs and Structural Formulas of the Mechanisms Theory 论机构理论的图与结构公式
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2023-11-04 DOI: 10.1134/S1990478923030109
M. D. Kovalev
{"title":"On Graphs and Structural Formulas of the Mechanisms Theory","authors":"M. D. Kovalev","doi":"10.1134/S1990478923030109","DOIUrl":"10.1134/S1990478923030109","url":null,"abstract":"<p> Structural formulas in the theory of mechanisms are formulas expressing the number of\u0000degrees of freedom of a device in terms of the numbers of its links and kinematic pairs. It is well\u0000known that they are not always true. Mathematical graph theory helps to understand this\u0000phenomenon. The validity of structural formulas in the case of generic frameworks is completely\u0000determined by their structure, described by graphs. The present paper considers two models of\u0000planar frameworks with rotational pairs. The first model is a construction made up of straight\u0000rods (levers) bearing hinges at the ends. Such devices are naturally associated with a graph\u0000<span>( G )</span> with vertices corresponding to hinges and edges corresponding to levers. In\u0000the theory of mechanisms, it is customary to consider another graph\u0000<span>( cal G )</span> whose vertices correspond to links and the edges correspond to kinematic\u0000pairs. It turns out that the use of the graph\u0000<span>( G )</span> to describe the structure both in the first model and in the second one, which\u0000contains all planar constructions with rotational pairs, is preferable to the graph\u0000<span>( cal G )</span>. In particular, it allows one to provide a criterion for the applicability of\u0000structural formulas for generic devices of a given structure.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"17 3","pages":"571 - 581"},"PeriodicalIF":0.58,"publicationDate":"2023-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71909131","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}
引用次数: 0
A Modified Quadratic Interpolation Method for Root Finding 一种改进的二次插值寻根方法
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2023-11-04 DOI: 10.1134/S1990478923030031
V. V. Bogdanov, Yu. S. Volkov
{"title":"A Modified Quadratic Interpolation Method for Root Finding","authors":"V. V. Bogdanov,&nbsp;Yu. S. Volkov","doi":"10.1134/S1990478923030031","DOIUrl":"10.1134/S1990478923030031","url":null,"abstract":"<p> A modification of the quadratic interpolation method for finding the root of a continuous\u0000function is proposed. Two quadratic interpolation polynomials are simultaneously constructed. It\u0000is shown that if the third derivative of the original function does not change sign on the considered\u0000interval of localization of the required root, then the root lies between the roots of the quadratic\u0000functions. This allows one to substantially narrow the localization interval and reduce the number\u0000of steps to calculate the root with a given accuracy. The proposed modification of the quadratic\u0000interpolation method is used in the problem of calculating isolines when modeling the hill diagram\u0000of hydraulic turbines.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"17 3","pages":"491 - 497"},"PeriodicalIF":0.58,"publicationDate":"2023-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71909137","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}
引用次数: 0
Ray Transforms of the Moments of Planar Tensor Fields 平面张量场矩的射线变换
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2023-11-04 DOI: 10.1134/S1990478923030067
E. Yu. Derevtsov
{"title":"Ray Transforms of the Moments of Planar Tensor Fields","authors":"E. Yu. Derevtsov","doi":"10.1134/S1990478923030067","DOIUrl":"10.1134/S1990478923030067","url":null,"abstract":"<p> The paper considers ray transforms of the moments of symmetric tensor fields of arbitrary\u0000rank given in the unit disk. The basic geometric and differential properties of mixed ray\u0000transforms of tensor fields and mixed ray transforms of the moments of tensor fields are\u0000established. A simple algorithm for reconstructing a low-rank tensor field from known mixed ray\u0000transforms of its moments is proposed and justified.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"17 3","pages":"521 - 534"},"PeriodicalIF":0.58,"publicationDate":"2023-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71909133","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}
引用次数: 0
On the Time of the First Achievement of a Level by an Ascending–Descending Process 论升降过程第一次达到一个水平的时间
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2023-11-04 DOI: 10.1134/S1990478923030122
V. I. Lotov
{"title":"On the Time of the First Achievement of a Level by an Ascending–Descending Process","authors":"V. I. Lotov","doi":"10.1134/S1990478923030122","DOIUrl":"10.1134/S1990478923030122","url":null,"abstract":"<p> We consider a stochastic process whose trajectories are characterized by alternate linear\u0000growth and linear decrease over time intervals of random length, while the process can also\u0000maintain its value unchanged for random periods of time between growth and decrease. This\u0000process can be considered as a mathematical model of accumulation and consumption of\u0000materials, where random periods of time for accumulation, consumption, and interruptions in\u0000operation are combined. We study the mean value\u0000<span>( mathbf {E} N )</span> of the time of first achievement of a fixed level by trajectories of this process,\u0000including finding exact formulas for\u0000<span>( mathbf {E} N )</span>, producing an upper bound in the form of an inequality, and obtaining the\u0000asymptotics of\u0000<span>( mathbf {E} N )</span> under the conditions of an infinitely receding level.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"17 3","pages":"592 - 599"},"PeriodicalIF":0.58,"publicationDate":"2023-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71909128","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}
引用次数: 0
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