Реферат: Mathematical methods based on the variational approach are successfully used in a broad range of applications, especially those fields that are oriented on partial differential equations. Our problem area addresses a wide class of nonlinear variational problems described by all kinds of static and evolution equations, inverse and ill-posed problems, non-smooth and non-convex optimization, and optimal control including shape and topology optimization. Within these directions, we focus but are not limited to singular and unilaterally constrained problems arising in mechanics and physics, which are governed by complex systems of generalized variational equations and inequalities. Whereas classical mathematical tools are not applicable here, we aim at a non-standard well-posedness analysis, numerical methods, asymptotic and approximation techniques including homogenization, which are successful within the primal as well as the dual variational formalism. In a broad scope, the theme issue objectives are directed toward advances that are attained in the mathematical theory of non-smooth variational problems, its physical consistency, numerical simulation and application to engineering sciences.This article is part of the theme issue ‘Non-smooth variational problems and applications’.

Библиографическая ссылка: Kovtunenko V.A. , Itou H. , Khludnev A.M. , Rudoy E.M.
Non-smooth variational problems and applications
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2022. V.380. N2236. 20210364 :1-3. DOI: 10.1098/rsta.2021.0364 WOS Scopus РИНЦ OpenAlex

Даты:

Поступила в редакцию:	28 июл. 2022 г.
Принята к публикации:	29 июл. 2022 г.
Опубликована в печати:	26 сент. 2022 г.

Идентификаторы БД:

Web of science:	WOS:000861201200005
Scopus:	2-s2.0-85138524003
РИНЦ:	56665272
OpenAlex:	W4297143864

Цитирование в БД:

БД	Цитирований
Scopus	4
Web of science	3
OpenAlex	5

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