Maqola

On the problems of peridynamics with special convolution kernels

Shavkat AlimovSchool of Mathematics and Computational Science, Sun Yat-sun Univer-sity, China, and Department of Mathematics and Statistics,Yanzhao CaoFaculty of Education, Erciyes University, 38039 Melikgazi Kayseri, TurkeyOnur Alp İlhanFaculty of Applied Mathematics, Lomonosov Moscow State University, Tashkent Branch, Uzbekistan

Journal of Integral Equations and Applicationsjournal2014en

ABI

Annotatsiya

The well-posedness and regularity of a peridynamic model with a special kernel is studied. The differential-integral equation describing the model is first converted to an operator valued Volterra integral equation. Then the existence and regularity of the solution of the peridynamics problem are established through the study of the Volterra integral equation. The regularity results improve the previous known results for more general peridynamics models.

Mavzular

Numerical methods in engineering Electromagnetic Simulation and Numerical Methods Advanced Numerical Methods in Computational Mathematics

Identifikatorlar

DOI: 10.1216/jie-2014-26-3-301

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