On a mixed problem for the parabolic Lamé type operator
URI (for links/citations):http://elib.sfu-kras.ru/handle/2311/28049
Институт математики и фундаментальной информатики
Кафедра теории функций
Journal Name:Journal of Inverse and Ill-Posed Problems
Journal Quartile in Scopus:Q3
Journal Quartile in Web of Science:Q1
Bibliographic Citation:Puzyrev, Roman. On a mixed problem for the parabolic Lamé type operator [Текст] / Roman Puzyrev, Alexander Shlapunov // Journal of Inverse and Ill-Posed Problems. — 2015. — Т. 23 (№ 6). — С. 555-570
We consider a boundary value problem for a Lam e type operator, which corresponds to a linearisation of the Navier-Stokes' equations for compressible ow of Newtonian uids in the case where pressure is known. It consists of recovering a vector function, satisfying the parabolic Lam e type system in a cylindrical domain, via its values and the values of the boundary stress tensor on a given part of the lateral surface of the cylinder. We prove that the problem is ill-posed in the natural spaces of smooth functions and in the corresponding H older spaces; besides, additional initial data do not turn the problem to a well-posed one. Using the integral representation's method we obtain a uniqueness theorem and solvability conditions for the problem. We also describe conditions, providing dense solvabilty of the problem.
Metadata:Show full item record
Showing items related by title, author, creator and subject.
Malinin, Alexander V.; Малинин, А.В. (Сибирский федеральный университет. Siberian Federal University, 2015-06)The paper is devoted to perfection as an important social and philosophical issue. The author argues that perfection is determined by the universal connection of phenomena in nature and in society. It is proved that a ...
Freedom as a Problem of Legal Consciesness: Social and Philosophic Aspects of the Problem in the Global World Efarkin, Anton A.; Ефаркин, А.А. (Сибирский федеральный университет. Siberian Federal University, 2015-06)Special aspects of freedom manifestation in the modern society are studied in the article. The author proves that it is closely connected to the level of legal awareness and involves socio-philosophical level of analysis. ...
A Priori Estimates of the Adjoint Problem Describing the Slow Flow of a Binary Mixture and a Fluid in a Channel Andreev, Victor K.; Efimova, Marina V.; Андреев, Виктор К.; Ефимова, Марина В. (Сибирский федеральный университет. Siberian Federal University, 2018-08)We obtain a priori estimates of the solution in the uniform metric for a linear conjugate initial-boundary inverse problem describing the joint motion of a binary mixture and a viscous heat-conducting liquid in a plane ...
A Nonlocal Boundary Value Problem with Constant Coefficients for the Multidimensional Second Order Equation of Mixed Type of the Second Kind Dzhamalov, Sirojiddin Z.; Джамалов, Сирожиддин З. (Сибирский федеральный университет. Siberian Federal University, 2018-08)Multidimensional second order equation of the mixed type of the second kind is considered in the paper. Unique solvability and smoothness of the solution of a nonlocal boundary value problem with constant coefficients ...
Reznikova, Ksenia V.; Zamaraeva, Yulia S.; Sergeeva, Natalia A.; Резникова, К.В.; Замараева, Ю.С.; Сергеева, Н.А. (Сибирский федеральный университет. Siberian Federal University, 2018-07)In today’s world with the pressure of globalization, it is becoming increasing difficult for particular ethnicities to resist assimilation in a large society. The protection of the individual culture from homogenization ...