Autor: Khapalov, A. - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Addendum to “The well-posedness of a swimming model in the 3-D incompressible fluid governed by the nonstationary Stokes equation”
Autorzy:: Khapalov, A.
Powiązania:: https://bibliotekanauki.pl/articles/330456.pdf
Data publikacji:: 2013
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: swimming model
coupled PDE/ODE system
nonstationary Stokes equation
sprzężony system PDE/ODE
równanie Stokesa
Opis:: In this addendum we address some unintentional omission in the description of the swimming model in our recent paper (Khapalov, 2013).
Źródło:: International Journal of Applied Mathematics and Computer Science; 2013, 23, 4; 905-906
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: The well-posedness of a swimming model in the 3-D incompressible fluid governed by the nonstationary Stokes equation
Autorzy:: Khapalov, A.
Powiązania:: https://bibliotekanauki.pl/articles/330536.pdf
Data publikacji:: 2013
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: swimming model
coupled PDE/ODE system
nonstationary Stokes equation
sprzężony system PDE/ODE
równanie Stokesa
Opis:: We introduce and investigate the well-posedness of a model describing the self-propelled motion of a small abstract swimmer in the 3-D incompressible fluid governed by the nonstationary Stokes equation, typically associated with low Reynolds numbers. It is assumed that the swimmer’s body consists of finitely many subsequently connected parts, identified with the fluid they occupy, linked by rotational and elastic Hooke forces. Models like this are of interest in biological and engineering applications dealing with the study and design of propulsion systems in fluids.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2013, 23, 2; 277-290
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Source localization and sensor placement in environmental monitoring
Autorzy:: Khapalov, A.
Powiązania:: https://bibliotekanauki.pl/articles/907701.pdf
Data publikacji:: 2010
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: lokalizacja źródła
położenie sensora
monitoring środowiska
sterowalność
identyfikowalność
równanie paraboliczne
source localization
sensor placement
environmental monitoring
controllability
identifiability
parabolic system
Opis:: In this paper we discuss two closely related problems arising in environmental monitoring. The first is the source localization problem linked to the question How can one find an unknown 'contamination source'? The second is an associated sensor placement problem: Where should we place sensors that are capable of providing the necessary 'adequate data' for that? Our approach is based on some concepts and ideas developed in mathematical control theory of partial differential equations.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2010, 20, 3; 445-458
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: Approximate Controllability Properties of the Semilinear Heat Equation With Lumped Controls
Autorzy:: Khapalov, A. Y.
Powiązania:: https://bibliotekanauki.pl/articles/908269.pdf
Data publikacji:: 1999
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: sterowność
sterowanie skupione
semilinear heat equation
controllability
internal lumped control
Opis:: In this article, we study the global controllability properties of aone-dimensional semilinear heat equation with sublinear reaction term, governed in a bounded domain by internal lumped controls. We prove thatit is possible to exactly control any finite dimensional portion of its solution (when expanded along the sequence of the eigenfunctions of the associated Laplacian), provided that the truncated linear equationis approximately controllable in L^2 (0,1). We also describe a certain topology (weaker than L^2 (0,1)) in which this system is, in fact, globally approximately controllable at any positive time. Some extensions to the case of several dimensions are also given.
Źródło:: International Journal of Applied Mathematics and Computer Science; 1999, 9, 4; 751-765
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

Artykuł

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