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On global regular solutions to the mhd equations in a smooth toroidal domain 光滑环面域上mhd方程的全局正则解
Applicationes Mathematicae Pub Date : 2017-01-01 DOI: 10.4064/AM2284-2-2017
A. Mikhaylov, Joanna Rencławowicz, W. Zaja̧czkowski
{"title":"On global regular solutions to the mhd equations in a smooth toroidal domain","authors":"A. Mikhaylov, Joanna Rencławowicz, W. Zaja̧czkowski","doi":"10.4064/AM2284-2-2017","DOIUrl":"https://doi.org/10.4064/AM2284-2-2017","url":null,"abstract":"We consider the magnetohydrodynamic equations in a smooth toroid located at a positive distance from its axis of symmetry. Since the domain is axially symmetric, we can prove existence of global regular axially symmetric solutions. Next, stability of these solutions is proved. In this way the existence of global regular solutions close to the axially symmetric solutions for all time is shown.","PeriodicalId":52313,"journal":{"name":"Applicationes Mathematicae","volume":"44 1","pages":"163-183"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77264869","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 simulation powers of new normality tests 新常态测试的仿真能力
Applicationes Mathematicae Pub Date : 2017-01-01 DOI: 10.4064/AM2294-10-2016
D. Szynal, W. Wołyński
{"title":"On simulation powers of new normality tests","authors":"D. Szynal, W. Wołyński","doi":"10.4064/AM2294-10-2016","DOIUrl":"https://doi.org/10.4064/AM2294-10-2016","url":null,"abstract":"","PeriodicalId":52313,"journal":{"name":"Applicationes Mathematicae","volume":"47 1","pages":"57-83"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80896602","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 note on a new class of recursive utilities in Markov decision processes 马尔可夫决策过程中一类新的递归实用程序
Applicationes Mathematicae Pub Date : 2017-01-01 DOI: 10.4064/AM2317-1-2017
Hubert Asienkiewicz, A. Jaśkiewicz
{"title":"A note on a new class of recursive utilities in Markov decision processes","authors":"Hubert Asienkiewicz, A. Jaśkiewicz","doi":"10.4064/AM2317-1-2017","DOIUrl":"https://doi.org/10.4064/AM2317-1-2017","url":null,"abstract":". This paper deals with Markov decision processes on a general state space under standard compactness-continuity assumptions. The pur-pose is to obtain a new class of so-called recursive utilities with the aid of the entropic risk measure. Within this framework we show that there exists a stationary policy for a discounted payoff problem in the infinite time horizon. Our result is illustrated by examples.","PeriodicalId":52313,"journal":{"name":"Applicationes Mathematicae","volume":"9 4 1","pages":"149-161"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78500006","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: 10
Uniqueness of renormalized solution to nonlinear Neumann problems with variable exponent 变指数非线性Neumann问题重整解的唯一性
Applicationes Mathematicae Pub Date : 2017-01-01 DOI: 10.4064/AM2287-6-2016
A. Jamea, A. E. Hachimi, J. Igbida
{"title":"Uniqueness of renormalized solution to nonlinear Neumann problems with variable exponent","authors":"A. Jamea, A. E. Hachimi, J. Igbida","doi":"10.4064/AM2287-6-2016","DOIUrl":"https://doi.org/10.4064/AM2287-6-2016","url":null,"abstract":"","PeriodicalId":52313,"journal":{"name":"Applicationes Mathematicae","volume":"41 1","pages":"1-14"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84666795","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: 2
On the Dirichlet matrix operators in sequence spaces 序列空间中Dirichlet矩阵算子的研究
Applicationes Mathematicae Pub Date : 2017-01-01 DOI: 10.4064/AM2328-4-2017
A. Sowa
{"title":"On the Dirichlet matrix operators in sequence spaces","authors":"A. Sowa","doi":"10.4064/AM2328-4-2017","DOIUrl":"https://doi.org/10.4064/AM2328-4-2017","url":null,"abstract":"","PeriodicalId":52313,"journal":{"name":"Applicationes Mathematicae","volume":"17 1","pages":"185-196"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90923859","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: 5
An index policy for dynamic pricing in cloud computing under price commitments 价格承诺下云计算动态定价的指数策略
Applicationes Mathematicae Pub Date : 2017-01-01 DOI: 10.4064/AM2313-6-2017
V. Borkar, K. Ravikumar, Krishnakant V. Saboo
{"title":"An index policy for dynamic pricing in cloud computing under price commitments","authors":"V. Borkar, K. Ravikumar, Krishnakant V. Saboo","doi":"10.4064/AM2313-6-2017","DOIUrl":"https://doi.org/10.4064/AM2313-6-2017","url":null,"abstract":"A dynamic pricing based resource allocation problem for cloud computing is cast as a Markov decision process with average reward and hard per time combinatorial constraints. Following Whittle, its relaxation as a constrained average reward Markov decision process is analyzed and its Whittle indexability is established. An iterative scheme to compute the Whittle indices is also proposed.","PeriodicalId":52313,"journal":{"name":"Applicationes Mathematicae","volume":"4 1","pages":"215-245"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87141759","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: 20
Remarks on simple arbitrage on markets with bid and ask prices 对有买入价和卖出价的市场上的简单套利的评论
Applicationes Mathematicae Pub Date : 2017-01-01 DOI: 10.4064/AM2310-11-2016
A. Rygiel, Ł. Stettner
{"title":"Remarks on simple arbitrage on markets with bid and ask prices","authors":"A. Rygiel, Ł. Stettner","doi":"10.4064/AM2310-11-2016","DOIUrl":"https://doi.org/10.4064/AM2310-11-2016","url":null,"abstract":"We consider various kinds of simple investment strategies on markets with bid and ask prices. We formulate necessary and sufficient conditions for the absence of arbitrage using those strategies. In the last part of the paper we study the absence of arbitrage for simple strategies without shortselling.","PeriodicalId":52313,"journal":{"name":"Applicationes Mathematicae","volume":"297 1","pages":"33-55"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84209609","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
Some stability problem for the Navier–Stokes equations in the periodic case 周期情况下Navier-Stokes方程的稳定性问题
Applicationes Mathematicae Pub Date : 2016-06-15 DOI: 10.4064/AM2309-8-2018
W. Zaja̧czkowski
{"title":"Some stability problem for the Navier–Stokes equations in the periodic case","authors":"W. Zaja̧czkowski","doi":"10.4064/AM2309-8-2018","DOIUrl":"https://doi.org/10.4064/AM2309-8-2018","url":null,"abstract":"The Navier-Stokes motions in a box with periodic boundary conditions are considered. First the existence of global regular two-dimensional solutions is proved. The solutions are such that continuous with respect to time norms are controlled by the same constant for all $tinmathbb{R}_+$. Assuming that the initial velocity and the external force are sufficiently close to the initial velocity and the external force of the two-dimensional solutions we prove existence of global three-dimensional regular solutions which remain close to the two-dimensional solutions for all time. In this way we mean stability of two-dimensional solutions.","PeriodicalId":52313,"journal":{"name":"Applicationes Mathematicae","volume":"164 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2016-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86312824","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: 2
Hypothesis testing in unbalanced two-fold nested random models 非平衡双重嵌套随机模型的假设检验
Applicationes Mathematicae Pub Date : 2016-01-01 DOI: 10.4064/AM2274-1-2016
M. Przystalski
{"title":"Hypothesis testing in unbalanced two-fold nested random models","authors":"M. Przystalski","doi":"10.4064/AM2274-1-2016","DOIUrl":"https://doi.org/10.4064/AM2274-1-2016","url":null,"abstract":"","PeriodicalId":52313,"journal":{"name":"Applicationes Mathematicae","volume":"43 1","pages":"57-78"},"PeriodicalIF":0.0,"publicationDate":"2016-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85800312","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 regular solutions to two-dimensional thermoviscoelasticity 二维热粘弹性的正则解
Applicationes Mathematicae Pub Date : 2016-01-01 DOI: 10.4064/AM2299-6-2016
J. Gawinecki, W. Zaja̧czkowski
{"title":"On regular solutions to two-dimensional thermoviscoelasticity","authors":"J. Gawinecki, W. Zaja̧czkowski","doi":"10.4064/AM2299-6-2016","DOIUrl":"https://doi.org/10.4064/AM2299-6-2016","url":null,"abstract":"","PeriodicalId":52313,"journal":{"name":"Applicationes Mathematicae","volume":"180 1","pages":"207-233"},"PeriodicalIF":0.0,"publicationDate":"2016-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84767087","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: 1
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