Temat: stationary solutions - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: A class of nonlocal parabolic problems occurring in statistical mechanics
Autorzy:: Biler, Piotr
Nadzieja, Tadeusz
Powiązania:: https://bibliotekanauki.pl/articles/967215.pdf
Data publikacji:: 1993
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: nonlinear boundary conditions
stationary solutions
existence of solutions
parabolic-elliptic system
Opis:: We consider parabolic equations with nonlocal coefficients obtained from the Vlasov-Fokker-Planck equations with potentials. This class of equations includes the classical Debye system from electrochemistry as well as an evolution model of self-attracting clusters under friction and fluctuations. The local in time existence of solutions to these equations (with no-flux boundary conditions) and properties of stationary solutions are studied.
Źródło:: Colloquium Mathematicum; 1993, 66, 1; 131-145
0010-1354
Pojawia się w:: Colloquium Mathematicum
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Dynamics of a two sex population with gestation period
Autorzy:: Busoni, Giorgio
Palczewski, Andrzej
Powiązania:: https://bibliotekanauki.pl/articles/1208215.pdf
Data publikacji:: 2000
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: differential equations with delay
stationary solutions
population dynamics
mathematical modelling
Opis:: We investigate a mathematical model of population dynamics for a population of two sexes (male and female) in which new individuals are conceived in a process of mating between individuals of opposed sexes and their appearance is postponed by a period of gestation. The model is a system of two partial differential equations with delay which are additionally coupled by mathematically complicated boundary conditions. We show that this model has a global solution. We also analyze stationary ('permanent') solutions and show that such solutions exist if the model parameters satisfy two nonlinear relations.
Źródło:: Applicationes Mathematicae; 2000, 27, 1; 21-34
1233-7234
Pojawia się w:: Applicationes Mathematicae
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: Existence and nonexistence of solutions for a model of gravitational interaction of particles, I
Autorzy:: Biler, Piotr
Nadzieja, Tadeusz
Powiązania:: https://bibliotekanauki.pl/articles/967263.pdf
Data publikacji:: 1993
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: nonlinear boundary conditions
stationary solutions
global existence of solutions
parabolic-elliptic system
Opis:: We study the existence of stationary and evolution solutions to a parabolic-elliptic system with natural (no-flux) boundary conditions describing the gravitational interaction of particles.
Źródło:: Colloquium Mathematicum; 1993, 66, 2; 319-334
0010-1354
Pojawia się w:: Colloquium Mathematicum
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 4.

Tytuł:: Positive stationary solutions of convection-diffusion equations for superlinear sources
Autorzy:: Orpel, Aleksandra
Powiązania:: https://bibliotekanauki.pl/articles/2216153.pdf
Data publikacji:: 2022
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: semipositone problems
positive stationary solutions
minimal solutions with finite energy
sub and supersolutions methods
Opis:: We investigate the existence and multiplicity of positive stationary solutions for a certain class of convection-diffusion equations in exterior domains. This problem leads to the following elliptic equation Δu(x) + f(x, u(x)) + g(x)x · ∇u(x) = 0, for x ∈ ΩR = {x ∈ Rn, ∥x∥ > R}, n > 2. The goal of this paper is to show that our problem possesses an uncountable number of nondecreasing sequences of minimal solutions with finite energy in a neighborhood of infinity. We also prove that each of these sequences generates another solution of the problem. The case when f(x, ·) may be negative at the origin, so-called semipositone problem, is also considered. Our results are based on a certain iteration schema in which we apply the sub and supersolution method developed by Noussair and Swanson. The approach allows us to consider superlinear problems with convection terms containing functional coefficient g without radial symmetry.
Źródło:: Opuscula Mathematica; 2022, 42, 5; 727-749
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

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