Asymptot. Anal.最新文献_第9页

Spectral analysis of photonic crystals made of thin rods 由细棒构成的光子晶体的光谱分析

Asymptot. Anal. Pub Date : 2017-01-18 DOI: 10.3233/ASY-181478

M. Holzmann, V. Lotoreichik

引用次数: 4

On the Ginzburg-Landau energy with a magnetic field vanishing along a curve 磁场沿曲线消失时的金兹堡-朗道能量

Asymptot. Anal. Pub Date : 2017-01-13 DOI: 10.3233/ASY-171424

Ayman Kachmar, M. Nasrallah

引用次数: 1

Stochastic homogenization of rate-dependent models of monotone type in plasticity 塑性单调型速率依赖模型的随机均匀化

Asymptot. Anal. Pub Date : 2017-01-12 DOI: 10.3233/ASY-181502

M. Heida, Sergiy Nesenenko

引用次数: 8

Multiple solutions for a class of quasilinear problems in Orlicz-Sobolev spaces Orlicz-Sobolev空间中一类拟线性问题的多重解

Asymptot. Anal. Pub Date : 2017-01-01 DOI: 10.3233/ASY-171428

K. Ait-Mahiout, C. O. Alves

引用次数: 6

Asymptotic analysis of variational inequalities with applications to optimum design in elasticity 变分不等式的渐近分析及其在弹性优化设计中的应用

Asymptot. Anal. Pub Date : 2017-01-01 DOI: 10.3233/ASY-171416

C. G. Lopes, R. B. Santos, A. Novotny, J. Sokołowski

{"title":"Asymptotic analysis of variational inequalities with applications to optimum design in elasticity","authors":"C. G. Lopes, R. B. Santos, A. Novotny, J. Sokołowski","doi":"10.3233/ASY-171416","DOIUrl":"https://doi.org/10.3233/ASY-171416","url":null,"abstract":"Contact problems with given friction are considered for plane elasticity in the framework of shape-topological optimization. The asymptotic analysis of the second kind variational inequalities in plane elasticity is performed for the purposes of shapetopological optimization. To this end, the saddle point formulation for the associated Lagrangian is introduced for the variational inequality. The non-smooth term in the energy functional is replaced by pointwise constraints for the multipliers. The one term expansion of the strain energy with respect to the small parameter which governs the size of the singular perturbation of geometrical domain is obtained. The topological derivatives of energy functional are derived in closed form adapted to the numerical methods of shape-topological optimization. In general, the topological derivative (TD) of the elastic energy is defined through a limit passage when the small parameter governing the size of the topological perturbation goes to zero. TD can be used as a steepestdescent direction in an optimization process like in any method based on the gradient of the cost functional. In this paper, we deal with the topological asymptotic analysis in the context of contact problems with given friction. Since the problem is nonlinear, the domain decomposition technique combined with the Steklov-Poincaré pseudodifferential boundary operator is used for asymptotic analysis purposes with respect to the small parameter associated with the size of the topological perturbation. As a fundamental result, the expansion of the strain energy coincides with the expansion of the SteklovPoincaré operator on the boundary of the truncated domain, leading to the expression for TD. Finally, the obtained TD is applied in the context of topology optimization of mechanical structures under contact condition with given friction.","PeriodicalId":8603,"journal":{"name":"Asymptot. Anal.","volume":"115 1","pages":"227-242"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78115948","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: 12

On the constants in Markov inequalities for the Laplace operator on polynomials with the Laguerre norm 拉盖尔范数多项式上拉普拉斯算子马尔可夫不等式中的常数

Asymptot. Anal. Pub Date : 2017-01-01 DOI: 10.3233/ASY-161400

A. Böttcher, Christian Rebs

引用次数: 1

A turning point asymptotic expansion for a rigid-dumbbell polymer fluid probability configurational equation for fast shear flows 快速剪切流下刚性-哑铃聚合物流体概率组态方程的拐点渐近展开

Asymptot. Anal. Pub Date : 2017-01-01 DOI: 10.3233/ASY-171435

I. Ciuperca, L. Palade

引用次数: 3

Large time behavior of the logistic age-structured population model in a changing environment 变化环境下logistic年龄结构人口模型的大时间行为

Asymptot. Anal. Pub Date : 2017-01-01 DOI: 10.3233/ASY-171409

V. Kozlov, S. Radosavljevic, U. Wennergren

引用次数: 8

On the decay rate of solutions of the Bresse system with Gurtin-Pipkin thermal law 用Gurtin-Pipkin热定律研究Bresse体系溶液的衰减速率

Asymptot. Anal. Pub Date : 2017-01-01 DOI: 10.3233/ASY-171417

Maisa Khader, B. Houari

{"title":"On the decay rate of solutions of the Bresse system with Gurtin-Pipkin thermal law","authors":"Maisa Khader, B. Houari","doi":"10.3233/ASY-171417","DOIUrl":"https://doi.org/10.3233/ASY-171417","url":null,"abstract":"We consider the Cauchy problem for the one-dimensional Bresse system coupled with the heat conduction, wherein the latter is described by the Gurtin–Pipkin thermal law. We study the decay properties of the solution using the energy method in the Fourier space (to build an appropriate Lyapunov functional) accompanied with some integral estimates. In fact we prove that the dissipation induced by the heat conduction is very weak and produces very slow decay rates. In addition in some cases, those decay rates are of regularity-loss type. Also, we prove that there is a number (depending on the parameters of the system) that controls the decay rate of the solution and the regularity assumptions on the initial data. In addition, we show that in the absence of the frictional damping, the memory damping term is not strong enough to produce a decay rate for the solution. In fact, we show in this case, despite the fact that the energy is still dissipative, the solution does not decay at all. This result improves and extends several results, such as those in Appl. Math. Optim. (2016), to appear, Communications in Contemporary Mathematics 18(4) (2016), 1550045, Math. Methods Appl. Sci. 38(17) (2015), 3642–3652 and others.","PeriodicalId":8603,"journal":{"name":"Asymptot. Anal.","volume":"16 1","pages":"1-32"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82100709","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

Non-commutative normal form, spectrum and inverse problem 非交换范式、谱和逆问题

Asymptot. Anal. Pub Date : 2017-01-01 DOI: 10.3233/ASY-161399

A. Anikin

引用次数: 1