Temat: nonlinear evolution equation - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: On nonexistence of global in time solution for a mixed problem for a nonlinear evolution equation with memory generalizing the Voigt-Kelvin rheological model
Autorzy:: Pukach, P.
Il'kiv, V.
Nytrebych, Z.
Vovk, M.
Powiązania:: https://bibliotekanauki.pl/articles/255696.pdf
Data publikacji:: 2017
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: boundary value problem
beam vibrations
nonlinear evolution equation
Voigt-Kelvin model
memory
blowup
Opis:: The paper deals with investigating of the first mixed problem for a fifth-order nonlinear evolutional equation which generalizes well known equation of the vibrations theory. We obtain sufficient conditions of nonexistence of a global solution in time variable.
Źródło:: Opuscula Mathematica; 2017, 37, 5; 735-753
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Effect of capillarity on fourth order nonlinear evolution equation for two Stokes wave trains in deep water in the presence of air flowing over water
Autorzy:: Dhar, A. K.
Mondal, J.
Powiązania:: https://bibliotekanauki.pl/articles/265884.pdf
Data publikacji:: 2015
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: nonlinear evolution equation
surface capillary gravity wave
stability
grawitacja
fala kapilarna
równania nieliniowe
Opis:: Fourth order nonlinear evolution equations, which are a good starting point for the study of nonlinear water waves, are derived for deep water surface capillary gravity waves in the presence of second waves in which air is blowing over water. Here it is assumed that the space variation of the amplitude takes place only in a direction along which the group velocity projection of the two waves overlap. A stability analysis is made for a uniform wave train in the presence of a second wave train. Graphs are plotted for the maximum growth rate of instability wave number at marginal stability and wave number separation of fastest growing sideband component against wave steepness. Significant improvements are noticed from the results obtained from the two coupled third order nonlinear Schrödinger equations.
Źródło:: International Journal of Applied Mechanics and Engineering; 2015, 20, 2; 267-282
1734-4492
2353-9003
Pojawia się w:: International Journal of Applied Mechanics and Engineering
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: Fourth order nonlinear evolution equation for interfacial gravity waves in the presence of air flowing over water and a basic current shear
Autorzy:: Majumder, D. P.
Dhar, A. K.
Powiązania:: https://bibliotekanauki.pl/articles/265668.pdf
Data publikacji:: 2015
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: nonlinear evolution equation
basic current shear
Stokes gravity wave
równania nieliniowe
przepływy Stokes'a
grawitacja
Opis:: A fourth order nonlinear evolution equation, which is a good starting point for the study of nonlinear water waves as first pointed out by Dysthe (1979) is derived for gravity waves propagating at the interface of two superposed fluids of infinite depth in the presence of air flowing over water and a basic current shear. A stability analysis is then made for a uniform Stokes gravity wave train. Graphs are plotted for the maximum growth rate of instability and for wave number at marginal stability against wave steepness for different values of air flow velocity and basic current shears. Significant deviations are noticed from the results obtained from the third order evolution equation, which is the nonlinear Schrödinger equation.
Źródło:: International Journal of Applied Mechanics and Engineering; 2015, 20, 3; 517-530
1734-4492
2353-9003
Pojawia się w:: International Journal of Applied Mechanics and Engineering
Dostawca treści:: Biblioteka Nauki

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