Temat: non cylindrical - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Existence and asymptotic behavior of solutions for hénon type equations
Autorzy:: Long, W.
Yang, J.
Powiązania:: https://bibliotekanauki.pl/articles/255754.pdf
Data publikacji:: 2011
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: Henon equation
cylindrical symmetry
non-cylindrical symmetry
asymptotic behavior
Opis:: This paper is concerned with ground state solutions for the Hénon type equation [formula] in Ω, where Ω = Bk(0, 1) × Bn-k(0, 1) ⊂ Rn and x = (y, z) ∈ Rk × Rn-k. We study the existence of cylindrically symmetric and non-cylindrically symmetric ground state solutions for the problem. We also investigate asymptotic behavior of the ground state solution when p tends to the critical exponent [formula].
Źródło:: Opuscula Mathematica; 2011, 31, 3; 411-424
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Exact controllability for the semilinear string equation in non cylindrical domains
Autorzy:: Araruna, F. D.
Antunes, G. O.
Medeiros, L. A.
Powiązania:: https://bibliotekanauki.pl/articles/970361.pdf
Data publikacji:: 2004
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: sterowność
półliniowość
exact controllability
string equation
semilinear
non cylindrical
Opis:: In this paper, we investigate the exact controllability for a mixed problem for the equation u^n - [...] + f(u) = 0 in a non cylindrical domain. This model, without the resistance represented for f(u), is a linearization of Kirchhoff's equation for small vibrations of a stretched elastic string when the ends are variables, see Medeiros, Limaco, Menezes (2002). We employ a variant, due to Zuazua (1990b), of the Hilbert Uniqueness Method (HUM), idealized by Lions (1988a, b).
Źródło:: Control and Cybernetics; 2004, 33, 2; 237-257
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Stefan problems in non-cylindrical domains arising in Czochralski process of crystal growth
Autorzy:: Fukao, T.
Kenmochi, N.
Pawłow, I.
Powiązania:: https://bibliotekanauki.pl/articles/206232.pdf
Data publikacji:: 2003
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: problem Stefana
domena niecylinryczna
Stefan problem
non-cylindrical domain
prescribed convection
Opis:: In this paper we discuss a two-phase Stefan problem with convection in a non-cylindrical (time-dependent) domain. This work is motivated by phase change phenomenon arising in the Czochralski process of crystal growth. The time-dependence of domain is a mathematical description of the situation in which the material domain changes its shape with time by crystal growth. We consider the so-called enthalpy formulation for it and give its solvability, assuming that the time-dependence of the material domain is prescribed and smooth enough in time, and the convective vector is prescribed, too. Our main idea is to apply the theory of quasi-linear equations of parabolic type.
Źródło:: Control and Cybernetics; 2003, 32, 2; 201-221
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: Solution of the boundary value problem of heat conduction in a cone
Autorzy:: Ramazanov, Murat
Jenaliyev, Muvasharkhan
Gulmanov, Nurtay
Powiązania:: https://bibliotekanauki.pl/articles/2048719.pdf
Data publikacji:: 2022
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: non-cylindrical domain
cone
boundary value problem of heat conduction
singular Volterra integral equation
Carleman–Vekua regularization method
Opis:: In the paper we consider the boundary value problem of heat conduction in a non-cylindrical domain, which is an inverted cone, i.e. in the domain degenerating into a point at the initial moment of time. In this case, the boundary conditions contain a derivative with respect to the time variable; in practice, problems of this kind arise in the presence of the condition of the concentrated heat capacity. We prove a theorem on the solvability of a boundary value problem in weighted spaces of essentially bounded functions. The issues of solvability of the singular Volterra integral equation of the second kind, to which the original problem is reduced, are studied. We use the Carleman–Vekua method of equivalent regularization to solve the obtained singular Volterra integral equation.
Źródło:: Opuscula Mathematica; 2022, 42, 1; 75-91
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

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