Temat: nonlocal -interaction - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: A nonlocal coagulation-fragmentation model
Autorzy:: Lachowicz, Mirosław
Wrzosek, Dariusz
Powiązania:: https://bibliotekanauki.pl/articles/1208218.pdf
Data publikacji:: 2000
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: integro-differential equations
diffusion
coagulation
nonlocal interaction
fragmentation
kinetic models
Opis:: A new nonlocal discrete model of cluster coagulation and fragmentation is proposed. In the model the spatial structure of the processes is taken into account: the clusters may coalesce at a distance between their centers and may diffuse in the physical space Ω. The model is expressed in terms of an infinite system of integro-differential bilinear equations. We prove that some results known in the spatially homogeneous case can be extended to the nonlocal model. In contrast to the corresponding local models the analysis can be carried out in the $L_1(Ω)$ setting. Our purpose is to study global (in time) existence, mass conservation and well-posedness of the model.
Źródło:: Applicationes Mathematicae; 2000, 27, 1; 45-66
1233-7234
Pojawia się w:: Applicationes Mathematicae
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: On the $S$-matrix of Schrödinger operator with nonlocal $\delta$-interaction
Autorzy:: Główczyk, Anna
Kużel, Sergiusz
Powiązania:: https://bibliotekanauki.pl/articles/2051910.pdf
Data publikacji:: 2021
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: Lax-Phillips scattering scheme
scattering matrix
S-matrix
nonlocal -interaction
non-cyclic function
Opis:: Schrodinger operators with nonlocal δ-interaction are studied with the use of the Lax-Phillips scattering theory methods. The condition of applicability of the Lax-Phillips approach in terms of non-cyclic functions is established. Two formulas for the S-matrix are obtained. The first one deals with the Krein-Naimark resolvent formula and the Weyl-Titchmarsh function, whereas the second one is based on modified reflection and transmission coefficients. The S-matrix S(z) is analytical in the lower half-plane $\mathbb{C}$_ when the Schrodinger operator with nonlocal δ-interaction is positive self-adjoint. Otherwise, S(z) is a meromorphic matrix-valued function in $\mathbb{C}$_ and its properties are closely related to the properties of the corresponding Schrodinger operator. Examples of S-matrices are given.
Źródło:: Opuscula Mathematica; 2021, 41, 3; 413-435
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

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