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Journal of Applied and Industrial Mathematics最新文献

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On the Influence of Droplet Size on the Breakup InductionPeriod in the Flow behind a Shock Wave
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2024-12-01 DOI: 10.1134/S1990478924030153
A. A. Shebeleva, A. V. Minakov, S. V. Poplavski, V. M. Boyko
{"title":"On the Influence of Droplet Size on the Breakup Induction\u0000Period in the Flow behind a Shock Wave","authors":"A. A. Shebeleva,&nbsp;A. V. Minakov,&nbsp;S. V. Poplavski,&nbsp;V. M. Boyko","doi":"10.1134/S1990478924030153","DOIUrl":"10.1134/S1990478924030153","url":null,"abstract":"<p> In this paper, we computationally study the influence of the initial diameter of a water\u0000droplet on the dynamics and breakup induction period in the flow behind a passing shock wave.\u0000For this purpose, a series of calculations were performed for a fixed Weber number\u0000<span>( mathrm {We} = 400 )</span> and a variable initial diameter\u0000<span>( d = 1.4, 2.8, 5.6 )</span> mm of the water droplet. The numerical technique is based on the VOF\u0000method, the LES model is used to take into account turbulence, and the technology of adapted\u0000dynamic grids is used to describe the behavior of the interfacial boundary at main turbulent\u0000scales; this has made it possible to resolve secondary water droplets up to 20\u0000<span>( mu )</span>m in size. The droplet shape, the flow structure near and in the droplet wake,\u0000and the nature of mass entrainment were investigated. As a result of the calculations, the\u0000dependences of the breakup time on the dimensionless droplet diameter were obtained, the\u0000breakup induction time was determined, and the time constant of droplet interaction with the flow\u0000was calculated to estimate the droplet breakup lag.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"18 3","pages":"548 - 557"},"PeriodicalIF":0.58,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142757938","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
Numerical Studies of the Phase Field Model Describing ElectricBreakdown in a Heterogeneous Medium
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2024-12-01 DOI: 10.1134/S1990478924030207
E. V. Zipunova, A. A. Kuleshov, E. B. Savenkov
{"title":"Numerical Studies of the Phase Field Model Describing Electric\u0000Breakdown in a Heterogeneous Medium","authors":"E. V. Zipunova,&nbsp;A. A. Kuleshov,&nbsp;E. B. Savenkov","doi":"10.1134/S1990478924030207","DOIUrl":"10.1134/S1990478924030207","url":null,"abstract":"<p> This paper presents the results of numerical studies of the phase field model for the\u0000development of an electrical breakdown path. The model consists of Maxwell’s equations in the\u0000quasi(electro)stationary approximation, the electric charge balance equation, and the Allen–Cahn\u0000equation describing the phase field evolution. Several problem settings concerning the\u0000development of a breakdown path in homogeneous as well as macro- and microheterogeneous\u0000media are considered.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"18 3","pages":"612 - 630"},"PeriodicalIF":0.58,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142757925","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
Radon Transform Inversion Formula in the Classof Discontinuous Functions
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2024-12-01 DOI: 10.1134/S1990478924030013
D. S. Anikonov, D. S. Konovalova
{"title":"Radon Transform Inversion Formula in the Class\u0000of Discontinuous Functions","authors":"D. S. Anikonov,&nbsp;D. S. Konovalova","doi":"10.1134/S1990478924030013","DOIUrl":"10.1134/S1990478924030013","url":null,"abstract":"<p> We introduce the concept of a pseudoconvex set in an odd-dimensional Euclidean space.\u0000The inversion formula is obtained for the Radon transform in the case where the integrand is a\u0000piecewise continuous function defined on a pseudoconvex set. The result achieved is\u0000a generalization of a previously known property proved for smooth functions.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"18 3","pages":"379 - 383"},"PeriodicalIF":0.58,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142757936","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 Study of the Threshold Stability of the Bilevel Problemof Facility Location and Discriminatory Pricing
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2024-12-01 DOI: 10.1134/S1990478924030165
M. E. Vodyan, A. A. Panin, A. V. Plyasunov
{"title":"A Study of the Threshold Stability of the Bilevel Problem\u0000of Facility Location and Discriminatory Pricing","authors":"M. E. Vodyan,&nbsp;A. A. Panin,&nbsp;A. V. Plyasunov","doi":"10.1134/S1990478924030165","DOIUrl":"10.1134/S1990478924030165","url":null,"abstract":"<p> The problem of threshold stability for a bilevel problem with a median type of facility\u0000location and discriminatory pricing is considered. When solving such a problem, it is necessary to\u0000find the threshold stability radius and a semifeasible solution of the original bilevel problem such\u0000that the leader’s revenue is not less than a predetermined value (threshold) for any deviation of\u0000budgets that does not exceed the threshold stability radius and which preserves its semifeasibility.\u0000Thus, the threshold stability radius determines the limit of disturbances of consumer budgets with\u0000which these conditions are satisfied.\u0000</p><p>Two approximate algorithms for solving the threshold stability problem based on\u0000the heuristic of descent with alternating neighborhoods are developed. These algorithms are based\u0000on finding a good approximate location of facilities as well as on calculating the optimal set of\u0000prices for the found location of facilities. The algorithms differ in the way they compare various\u0000locations of facilities; this ultimately leads to different estimates of threshold stability radius. A\u0000numerical experiment has shown the efficiency of the chosen approach both in terms of the\u0000running time of the algorithms and the quality of the solutions obtained.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"18 3","pages":"558 - 574"},"PeriodicalIF":0.58,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142757913","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
Perfect Colorings of Submatrix Hypergraphs
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2024-12-01 DOI: 10.1134/S1990478924030050
S. O. Borodin, A. A. Taranenko
{"title":"Perfect Colorings of Submatrix Hypergraphs","authors":"S. O. Borodin,&nbsp;A. A. Taranenko","doi":"10.1134/S1990478924030050","DOIUrl":"10.1134/S1990478924030050","url":null,"abstract":"<p> A submatrix hypergraph\u0000<span>( G_{ntimes m} )</span> is a hypergraph whose vertices are entries of an\u0000<span>( ntimes m )</span> matrix and hyperedges are submatrices of order\u0000<span>( 2 )</span>. In this paper, we consider perfect colorings of submatrix hypergraphs and\u0000study their parameters. We provide several constructions of perfect colorings of\u0000<span>( G_{ntimes m} )</span> and prove that the incidence matrices of\u0000<span>( 2 )</span>-designs are perfect colorings of the submatrix hypergraph. Moreover, we\u0000describe all perfect 2-colorings of hypergraphs\u0000<span>( G_{2times m} )</span> and\u0000<span>( G_{3times m} )</span>.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"18 3","pages":"424 - 440"},"PeriodicalIF":0.58,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142757916","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
Inverse Problems of Finding a Sourcein the Heat Equation from a Nonlocal Observation
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2024-12-01 DOI: 10.1134/S1990478924030141
K. B. Sabitov
{"title":"Inverse Problems of Finding a Source\u0000in the Heat Equation from a Nonlocal Observation","authors":"K. B. Sabitov","doi":"10.1134/S1990478924030141","DOIUrl":"10.1134/S1990478924030141","url":null,"abstract":"<p> The article presents the statement of inverse problems of finding the right-hand side of the\u0000heat equation from an additional integral condition and justifies their Hadamard well-posedness in\u0000the class of regular solutions. The uniqueness of solutions of the problems is proved on the basis of\u0000integral identities. The solutions of the problems are constructed explicitly using separation of\u0000variables and the integral equation method.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"18 3","pages":"536 - 547"},"PeriodicalIF":0.58,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142757918","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
Approximate Near-Front Ray Solutionsin the Axisymmetric Strain Dynamicsof a Linear Elastic Half-Space
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2024-12-01 DOI: 10.1134/S199047892403013X
V. E. Ragozina, Yu. E. Ivanova, O. V. Dudko
{"title":"Approximate Near-Front Ray Solutions\u0000in the Axisymmetric Strain Dynamics\u0000of a Linear Elastic Half-Space","authors":"V. E. Ragozina,&nbsp;Yu. E. Ivanova,&nbsp;O. V. Dudko","doi":"10.1134/S199047892403013X","DOIUrl":"10.1134/S199047892403013X","url":null,"abstract":"<p> The dynamics of axisymmetric two-dimensional strains in a linear elastic half-space\u0000bounded by a smooth surface of revolution with positive Gaussian curvature is considered. An\u0000approximate solution of the initial–boundary value problem is constructed on the basis of ray\u0000series with expansion in a time-like variable. The limited number of terms of the ray series is used\u0000for near-front domains of curvilinear waves of strong discontinuities. The coefficients of this series\u0000are the discontinuities of the derivatives of displacements with respect to time (starting from the\u0000first derivative). It is shown that it is necessary to take into account the ray series components up\u0000to the\u0000<span>( (k + 1) )</span>st order inclusive at the\u0000<span>( k )</span>th step of the ray method for a two-dimensional type of the deformation\u0000process.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"18 3","pages":"521 - 535"},"PeriodicalIF":0.58,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142757923","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 Connections between Hyperbolic and Parabolic InverseOne-Dimensional Discrete Problems
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2024-12-01 DOI: 10.1134/S1990478924030116
A. S. Mikhaylov, V. S. Mikhaylov
{"title":"On the Connections between Hyperbolic and Parabolic Inverse\u0000One-Dimensional Discrete Problems","authors":"A. S. Mikhaylov,&nbsp;V. S. Mikhaylov","doi":"10.1134/S1990478924030116","DOIUrl":"10.1134/S1990478924030116","url":null,"abstract":"<p> The boundary control method is applied to the solution of one-dimensional discrete\u0000inverse problems. The discrete counterparts of the operators used in the method (the control,\u0000response, and connecting operators) are defined. The relations between the operators\u0000corresponding to the discrete wave equation and the discrete heat equation are established.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"18 3","pages":"503 - 515"},"PeriodicalIF":0.58,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142757919","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 New Quantum Oracle Modelfor a Hybrid Quantum-Classical Attack on Post-Quantum Lattice-BasedCryptosystems
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2024-12-01 DOI: 10.1134/S1990478924030037
A. O. Bakharev
{"title":"A New Quantum Oracle Model\u0000for a Hybrid Quantum-Classical Attack on Post-Quantum Lattice-Based\u0000Cryptosystems","authors":"A. O. Bakharev","doi":"10.1134/S1990478924030037","DOIUrl":"10.1134/S1990478924030037","url":null,"abstract":"<p> Lattice-based cryptosystems are one of the main post-quantum alternatives to asymmetric\u0000cryptography currently in use. Most attacks on these cryptosystems can be reduced to the\u0000shortest vector problem (SVP) in a lattice. Previously, the authors proposed a quantum oracle\u0000model from Grover’s algorithm to implement a hybrid quantum-classical algorithm based on the\u0000GaussSieve algorithm and solving SVP. In this paper, a new model of a quantum oracle is\u0000proposed and analyzed. Two implementations of the new quantum oracle model are proposed and\u0000estimated. The complexity of implementing the new quantum oracle model to attack\u0000post-quantum lattice-based cryptosystems that are finalists of the NIST post-quantum\u0000cryptography competition is analyzed. Comparison of obtained results for new and existing\u0000models of quantum oracle is given.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"18 3","pages":"395 - 411"},"PeriodicalIF":0.58,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142757934","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
Application of Evolutionary Computations for Solving OptimalControl Problems with Terminal Constraints
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2024-12-01 DOI: 10.1134/S1990478924030025
E. V. Antipina, S. A. Mustafina, A. F. Antipin
{"title":"Application of Evolutionary Computations for Solving Optimal\u0000Control Problems with Terminal Constraints","authors":"E. V. Antipina,&nbsp;S. A. Mustafina,&nbsp;A. F. Antipin","doi":"10.1134/S1990478924030025","DOIUrl":"10.1134/S1990478924030025","url":null,"abstract":"<p> The article is devoted to the development of a numerical algorithm for finding an\u0000approximate solution of an optimal control problem with terminal constraints and control\u0000constraints. The algorithm is based on the reduction of the original optimal control problem to a\u0000finite-dimensional problem and the use of the penalty method and the differential evolution\u0000method to solve the latter. A feature of the proposed approach is that the solution found is\u0000independent of the choice of the initial approximation. The operation of the algorithm is\u0000illustrated by its application to applied optimal control problems. The results of computational\u0000experiments are consistent with the results of calculations based on other methods.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"18 3","pages":"384 - 394"},"PeriodicalIF":0.58,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142757935","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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