Temat: nonlinear parabolic equations - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: A dynamical inverse problem for a parabolic equation
Autorzy:: Maksimov, V.
Powiązania:: https://bibliotekanauki.pl/articles/255796.pdf
Data publikacji:: 2006
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: nonlinear parabolic equations
inverse problem
Opis:: A problem of dynamical reconstruction of unknown distributed or boundary disturbances acting upon nonlinear parabolic equations is discussed. A regularized algorithm which allows us to reconstruct disturbances synchro with the process under consideration is designed. This algorithm is stable with respect to informational noises and computational errors.
Źródło:: Opuscula Mathematica; 2006, 26, 2; 327-342
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Asymptotic properties of the solution of an equation of nonstationary filtration type
Autorzy:: Wyskup, Michał
Powiązania:: https://bibliotekanauki.pl/articles/748523.pdf
Data publikacji:: 1978
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: Asymptotic behavior of solutions,Nonlinear parabolic equations
Opis:: .
The review of the paper is available at MR0518665.
Źródło:: Mathematica Applicanda; 1978, 6, 13
1730-2668
2299-4009
Pojawia się w:: Mathematica Applicanda
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Difference problems generated by infinite systems of nonlinear parabolic functional differential equations with the Robin conditions
Autorzy:: Czernous, W.
Jaruszewska-Walczak, D.
Powiązania:: https://bibliotekanauki.pl/articles/255694.pdf
Data publikacji:: 2014
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: nonlinear parabolic equations
functional differential equations
infinite systems
Volterra type operators
nonlinear estimates of Perron type
truncation methods
Opis:: We consider the classical solutions of mixed problems for infinite, countable systems of parabolic functional differential equations. Difference methods of two types are constructed and convergence theorems are proved. In the first type, we approximate the exact solutions by solutions of infinite difference systems. Methods of second type are truncation of the infinite difference system, so that the resulting difference problem is finite and practically solvable. The proof of stability is based on a comparison technique with nonlinear estimates of the Perron type for the given functions. The comparison system is infinite. Parabolic problems with deviated variables and integro-differential problems can be obtained from the general model by specifying the given operators.
Źródło:: Opuscula Mathematica; 2014, 34, 2; 311-326
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: Blow-up behavior in nonlocal vs local heat equations
Autorzy:: Souplet, Philippe
Powiązania:: https://bibliotekanauki.pl/articles/1207661.pdf
Data publikacji:: 2000
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: asymptotic behavior
boundary behavior
nonlinear parabolic equations
blow-up profiles
nonlocal source
finite time blow-up
Opis:: We present some recent results on the blow-up behavior of solutions of heat equations with nonlocal nonlinearities. These results concern blow-up sets, rates and profiles. We then compare them with the corresponding results in the local case, and we show that the two types of problems exhibit "dual" blow-up behaviors.
Źródło:: Banach Center Publications; 2000, 52, 1; 221-226
0137-6934
Pojawia się w:: Banach Center Publications
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 5.

Tytuł:: Nonlocal quadratic evolution problems
Autorzy:: Biler, Piotr
Woyczyński, Wojbor
Powiązania:: https://bibliotekanauki.pl/articles/1207633.pdf
Data publikacji:: 2000
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: self-similar solutions
fractal anomalous diffusion
asymptotic behavior of solutions
nonlinear nonlocal parabolic equations
Opis:: Nonlinear nonlocal parabolic equations modeling the evolution of density of mutually interacting particles are considered. The inertial type nonlinearity is quadratic and nonlocal while the diffusive term, also nonlocal, is anomalous and fractal, i.e., represented by a fractional power of the Laplacian. Conditions for global in time existence versus finite time blow-up are studied. Self-similar solutions are constructed for certain homogeneous initial data. Monte Carlo approximation schemes by interacting particle systems are also mentioned.
Źródło:: Banach Center Publications; 2000, 52, 1; 11-24
0137-6934
Pojawia się w:: Banach Center Publications
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 6.

Tytuł:: A finite difference method for quasi-linear and nonlinear differential functional parabolic equations with Neumann’s condition
Autorzy:: Sapa, Lucjan
Powiązania:: https://bibliotekanauki.pl/articles/962640.pdf
Data publikacji:: 2009
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: parabolic differential functional equations
difference methods
nonlinear estimates of the generalized Perron type
Opis:: Classical solutions of nonlinear second-order partial differential functional equations of parabolic type with Neumann’s condition are approximated in the paper by solutions of associated explicit difference functional equations. The functional dependence is of the Volterra type. Nonlinear estimates of the generalized Perron type for given functions are assumed. The convergence and stability results are proved with the use of the comparison technique. These theorems in particular cover quasi-linear equations, but such equations are also treated separately. The known results on similar difference methods can be obtained as particular cases of our simple result.
Źródło:: Commentationes Mathematicae; 2009, 49, 1; 83-106
0373-8299
Pojawia się w:: Commentationes Mathematicae
Dostawca treści:: Biblioteka Nauki

Artykuł

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