Pub Date : 2021-01-28DOI: 10.18311/JIMS/2021/22782
A. Aruna, V. Ramachandramurthy, N. Kavitha
The present paper aims at weak non-linear stability analysis followed by linear analysis of nite-amplitude Rayleigh-Benard magneto convection problem in an electrically conducting Newtonian liquid with heat source/sink. It is shown that the internal Rayleigh number, ther- morheological parameter, and the Chandrasekhar number in uence the onset of convection. The generalized Lorenz model derived for the prob- lem is essentially the classical Lorenz model but with some coecient depending on the variable heat source (sink), viscosity, and the applied magnetic eld. The result of the parameters' in uence on the critical Rayleigh number explains their in uence on the Nusselt number. It is found that an increasing strength of the magnetic eld is to stabilize the system and diminishes heat transport whereas the heat source and variable viscosity in-tandem to work system unstable and enhances heat transfer.
{"title":"Non-linear Rayleigh-Benard Magnetoconvection in Temperature-sensitive Newtonian Liquids with Variable Heat Source","authors":"A. Aruna, V. Ramachandramurthy, N. Kavitha","doi":"10.18311/JIMS/2021/22782","DOIUrl":"https://doi.org/10.18311/JIMS/2021/22782","url":null,"abstract":"The present paper aims at weak non-linear stability analysis followed by linear analysis of nite-amplitude Rayleigh-Benard magneto convection problem in an electrically conducting Newtonian liquid with heat source/sink. It is shown that the internal Rayleigh number, ther- morheological parameter, and the Chandrasekhar number in uence the onset of convection. The generalized Lorenz model derived for the prob- lem is essentially the classical Lorenz model but with some coecient depending on the variable heat source (sink), viscosity, and the applied magnetic eld. The result of the parameters' in uence on the critical Rayleigh number explains their in uence on the Nusselt number. It is found that an increasing strength of the magnetic eld is to stabilize the system and diminishes heat transport whereas the heat source and variable viscosity in-tandem to work system unstable and enhances heat transfer.","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42777818","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}
Pub Date : 2021-01-28DOI: 10.18311/JIMS/2021/21651
M. Grigoryan, L. Simonyan
In this paper we consider the convergence by measure of Fourier integral spherical means of Riesz at a critical exponent δ = 1/2 after changing the values of the integrable function on the given set of a small measure.
{"title":"On the Convergence of Bochner-Riesz’s Spherical Means of Fourier Double Integrals","authors":"M. Grigoryan, L. Simonyan","doi":"10.18311/JIMS/2021/21651","DOIUrl":"https://doi.org/10.18311/JIMS/2021/21651","url":null,"abstract":"In this paper we consider the convergence by measure of Fourier integral spherical means of Riesz at a critical exponent δ = 1/2 after changing the values of the integrable function on the given set of a small measure.","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41861235","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}
Pub Date : 2021-01-28DOI: 10.18311/JIMS/2021/26053
A. N. Bhavale, B. Waphare
In this paper, we introduce the concept of a poset dismantlable by doubly irreducibles. We also introduce the operations, `1-sum' and `2-sum' of posets. Using these operations, we obtain the structure theorem for posets dismantlable by doubly irreducibles, which generalizes the structure theorem for dismantlable lattices.
{"title":"Posets Dismantlable by Doubly Irreducibles","authors":"A. N. Bhavale, B. Waphare","doi":"10.18311/JIMS/2021/26053","DOIUrl":"https://doi.org/10.18311/JIMS/2021/26053","url":null,"abstract":"In this paper, we introduce the concept of a poset dismantlable by doubly irreducibles. We also introduce the operations, `1-sum' and `2-sum' of posets. Using these operations, we obtain the structure theorem for posets dismantlable by doubly irreducibles, which generalizes the structure theorem for dismantlable lattices.","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44033737","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}
Pub Date : 2021-01-28DOI: 10.18311/JIMS/2021/26632
Manoj Kumar, C. K. Mishra
In this paper, we consider conformal Kropina transformation of m -th root metric and for this find Fundamental metric tensors and Spray coefficients. Moreover, condition for locally projectively flat on conformal Kropina transformation of m -th root metric has been found.
{"title":"On Conformal Kropina Transformation of m-TH Root Metrics","authors":"Manoj Kumar, C. K. Mishra","doi":"10.18311/JIMS/2021/26632","DOIUrl":"https://doi.org/10.18311/JIMS/2021/26632","url":null,"abstract":"In this paper, we consider conformal Kropina transformation of m -th root metric and for this find Fundamental metric tensors and Spray coefficients. Moreover, condition for locally projectively flat on conformal Kropina transformation of m -th root metric has been found.","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42772771","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}
Pub Date : 2020-07-01DOI: 10.18311/jims/2020/25448
Puja Bharti, J. Tanti
In this paper, we investigate the similarity classes of linear transformations on a vector space using structure theorem for finitely generated modules over a principal ideal domain. We also establish formulae to count similarity classes with a given polynomial as a characteristic polynomial and to count total number of classes when the scalar field is finite.
{"title":"Similarity Classes of Linear Transformations","authors":"Puja Bharti, J. Tanti","doi":"10.18311/jims/2020/25448","DOIUrl":"https://doi.org/10.18311/jims/2020/25448","url":null,"abstract":"In this paper, we investigate the similarity classes of linear transformations on a vector space using structure theorem for finitely generated modules over a principal ideal domain. We also establish formulae to count similarity classes with a given polynomial as a characteristic polynomial and to count total number of classes when the scalar field is finite.","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42585617","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}
Pub Date : 2020-07-01DOI: 10.18311/jims/2020/25449
R. Maurya, P. Sharma
In the light of Riemann open mapping theorem, if we map open unit disk U conformally onto a region then depending on the geometry of boundary of we can always extract a subclass of H[a, n] by subordinating various functionals of the function f ∈ H[a, n]. Depending upon the geometry of the range set attempts have been made to find some algebraic structure in such classes, for that Hankel determinant of coefficients of functions pertaining to these classes have been studied, bounds of various coefficients have been determined and also based on the subordination principle we have determined radius |z| < r ;z ∈ U for which f belongs to such a class. In this paper our focus would be on n−PS* defined as n − PS* = {f ∈ A : Re {zf'(z)/f(z)} > 0,|(zf'(z)/f(z))n - 1|<1}.
{"title":"A Class of Analytic Starlike Functions Associated with Petal Like Region on the Positive Half of Complex Plane","authors":"R. Maurya, P. Sharma","doi":"10.18311/jims/2020/25449","DOIUrl":"https://doi.org/10.18311/jims/2020/25449","url":null,"abstract":"In the light of Riemann open mapping theorem, if we map open unit disk U conformally onto a region then depending on the geometry of boundary of we can always extract a subclass of H[a, n] by subordinating various functionals of the function f ∈ H[a, n]. Depending upon the geometry of the range set attempts have been made to find some algebraic structure in such classes, for that Hankel determinant of coefficients of functions pertaining to these classes have been studied, bounds of various coefficients have been determined and also based on the subordination principle we have determined radius |z| < r ;z ∈ U for which f belongs to such a class. In this paper our focus would be on n−PS* defined as n − PS* = {f ∈ A : Re {zf'(z)/f(z)} > 0,|(zf'(z)/f(z))n - 1|<1}.","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48378537","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}
Pub Date : 2020-07-01DOI: 10.18311/jims/2020/25453
G. Saluja
In this paper, we establish some fixed point theorems and a coincidence point theorem for contractive type mappings in the framework of complete partial metric spaces and give some examples in support of our results. The results presented in this paper extend and generalize several results from the existing literature.
{"title":"Some Fixed Point Results in Partial Metric Spaces Under Contractive Type Mappings","authors":"G. Saluja","doi":"10.18311/jims/2020/25453","DOIUrl":"https://doi.org/10.18311/jims/2020/25453","url":null,"abstract":"In this paper, we establish some fixed point theorems and a coincidence point theorem for contractive type mappings in the framework of complete partial metric spaces and give some examples in support of our results. The results presented in this paper extend and generalize several results from the existing literature.","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46122937","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}
Pub Date : 2020-07-01DOI: 10.18311/jims/2020/25450
P. M. Paratane, A. Bit
This paper represents ordinary sensitivity analysis and tolerance approach to sensitivity analysis in supply and demand values of the multiobjective transportation problem. Our proposed approach allows simultaneous and independent changes in the supply and demand values. The aim of this paper is to find the ranges for each supply and demand value within which the changes can occur without affecting the current basis of the best compromise solution. We have used the best compromise solution obtained using fuzzy programming technique for the postoptimality analysis of the multiobjective transportation problem. The approach is illustrated by a numerical example.
{"title":"Tolerance Approach to Sensitivity Analysis in Multiobjective Transportation Problem","authors":"P. M. Paratane, A. Bit","doi":"10.18311/jims/2020/25450","DOIUrl":"https://doi.org/10.18311/jims/2020/25450","url":null,"abstract":"This paper represents ordinary sensitivity analysis and tolerance approach to sensitivity analysis in supply and demand values of the multiobjective transportation problem. Our proposed approach allows simultaneous and independent changes in the supply and demand values. The aim of this paper is to find the ranges for each supply and demand value within which the changes can occur without affecting the current basis of the best compromise solution. We have used the best compromise solution obtained using fuzzy programming technique for the postoptimality analysis of the multiobjective transportation problem. The approach is illustrated by a numerical example.","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45627408","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}
Pub Date : 2020-07-01DOI: 10.18311/jims/2020/25447
R. Sharma, N. Indumathi, S. Saranya, B. Ganga, A. Hakeem
In this study a mathematical analysis has been carried out to scrutinize the unsteady boundary layer flow of an incompressible, rarefied gaseous flow over a vertical stretching sheet with velocity slip and thermal jump boundary conditions in the presence of thermal radiation. Using boundary layer approach and suitable similarity transformations, the governing partial differential equations with the boundary conditions are reduced to a system of non-linear ordinary differential equations. The resulting non-linear ordinary differential equations are solved with the help of fourth order Runge-Kutta method with shooting technique. The results obtained for the velocity profile, temperature profile, skin friction coefficient and the reduced Nusselt number are described through graphs. It is predicted that the velocity and temperature profiles are lower for unsteady flow and has an opposite effect for steady flow.
{"title":"Radiative Unsteady Rarefied Gaseous Flow Over a Stretching Sheet with Velocity Slip and Temperature Jump Effects","authors":"R. Sharma, N. Indumathi, S. Saranya, B. Ganga, A. Hakeem","doi":"10.18311/jims/2020/25447","DOIUrl":"https://doi.org/10.18311/jims/2020/25447","url":null,"abstract":"In this study a mathematical analysis has been carried out to scrutinize the unsteady boundary layer flow of an incompressible, rarefied gaseous flow over a vertical stretching sheet with velocity slip and thermal jump boundary conditions in the presence of thermal radiation. Using boundary layer approach and suitable similarity transformations, the governing partial differential equations with the boundary conditions are reduced to a system of non-linear ordinary differential equations. The resulting non-linear ordinary differential equations are solved with the help of fourth order Runge-Kutta method with shooting technique. The results obtained for the velocity profile, temperature profile, skin friction coefficient and the reduced Nusselt number are described through graphs. It is predicted that the velocity and temperature profiles are lower for unsteady flow and has an opposite effect for steady flow.","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47103838","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}
Pub Date : 2020-07-01DOI: 10.18311/jims/2020/25451
Madhukar. M. Pawar, Vandana P. Bhamre
The concept of the covering energy of a poset is introduced and its bounds are given. We compute covering energy of some classes of posets like Sn, 2n. The posets Dk and D'k are defined and two recurrence relations for the characteristic polynomials of these posets are obtained. The energies of the posets D1, D2, D3, D4 and D5 are explicitly computed. The existence of some eigenvalues for some type of Dk and D'k is proved.
{"title":"Covering Energy of Some Classes of Posets","authors":"Madhukar. M. Pawar, Vandana P. Bhamre","doi":"10.18311/jims/2020/25451","DOIUrl":"https://doi.org/10.18311/jims/2020/25451","url":null,"abstract":"The concept of the covering energy of a poset is introduced and its bounds are given. We compute covering energy of some classes of posets like S<sub>n</sub>, 2<sup>n</sup>. The posets D<sub>k</sub> and D<sup>'</sup><sub>k</sub> are defined and two recurrence relations for the characteristic polynomials of these posets are obtained. The energies of the posets D<sub>1</sub>, D<sub>2</sub>, D<sub>3</sub>, D<sub>4</sub> and D<sub>5</sub> are explicitly computed. The existence of some eigenvalues for some type of D<sub>k</sub> and D<sup>'</sup><sub>k</sub> is proved.","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41542482","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}
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