Zobrazeno 1 - 10
of 121
pro vyhledávání: '"Tomasz Dlotko"'
Autor:
Jan W. Cholewa, Tomasz Dlotko
The study of dissipative equations is an area that has attracted substantial attention over many years. Much progress has been achieved using a combination of both finite dimensional and infinite dimensional techniques, and in this book the authors e
Publikováno v:
Discrete & Continuous Dynamical Systems - B. 25:1517-1541
Our purpose is to formulate an abstract result, motivated by the recent paper [ 8 ], allowing to treat the solutions of critical and super-critical equations as limits of solutions to their regularizations. In both cases we are improving the viscosit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::32583a8afe7efbfe39cc265f23992032
https://doi.org/10.3934/dcdsb.2019238
https://doi.org/10.3934/dcdsb.2019238
Autor:
Tomasz Dlotko
Publikováno v:
Journal of Mathematical Physics. 63:111511
A growing interest in considering the “hybrid systems” of equations describing more complicated physical phenomena was observed throughout the last 10 years. We mean here, in particular, the so-called Navier–Stokes–Cahn–Hilliard equation, t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0a39d14d06f97d24b2e4517a07eec431
https://doi.org/10.1063/5.0097137
https://doi.org/10.1063/5.0097137
Publikováno v:
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Universidade de São Paulo (USP)
instacron:USP
We consider the Dirichlet boundary problem for semilinear fractional Schrodinger equation with subcritical nonlinear term. Local and global in time solvability and regularity properties of solutions are discussed. But our main task is to describe the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f18d9be09dd897029133a9d90ee48b00
https://doi.org/10.1016/j.jmaa.2017.08.014
https://doi.org/10.1016/j.jmaa.2017.08.014
Autor:
Tomasz Dlotko, Chunyou Sun
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 150:38-60
Our task here is to use a version of the 'vanishing viscosity technique' to study the critical 2D Quasi-Geostrophic equation. The present paper extends and specializes the results reported in Dlotko et al. (2015). We treat now in more detail the solu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9f562dbb0d7946f3c44cb02be5eeeb91
https://doi.org/10.1016/j.na.2016.11.005
https://doi.org/10.1016/j.na.2016.11.005
Publikováno v:
Journal of Differential Equations. 259:531-561
Solvability of Cauchy's problem in R 2 for subcritical quasi-geostrophic equation is discussed here in two phase spaces; L p ( R 2 ) with p > 2 2 α − 1 and H s ( R 2 ) with s > 1 . A solution to that equation in critical case is obtained next as a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::498ac864793135e5c8a3dd9d67b64a76
https://doi.org/10.1016/j.jde.2015.02.022
https://doi.org/10.1016/j.jde.2015.02.022
Autor:
Maria B. Kania, Tomasz Dlotko
Publikováno v:
Mathematical Methods in the Applied Sciences. 38:2547-2560
Solvability of Cauchy's problem in for fractional Hamilton–Jacobi equation (1.1) with subcritical nonlinearity is studied here both in the classical Sobolev spaces and in the locally uniform spaces. The first part of the paper is devoted to the glo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fec77e357078d3397859cdc09d64b088
https://doi.org/10.1002/mma.3241
https://doi.org/10.1002/mma.3241
Publikováno v:
Journal of Mathematical Analysis and Applications. 411:853-872
We study Cauchy problem in R N for the Korteweg–de Vries–Burgers system. Parabolic regularization technique is used to prove its global in time solvability. The regularization effect of the Laplacian term is observed for the viscous solutions con
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::baf82bade4ce8093d8485bb865815295
https://doi.org/10.1016/j.jmaa.2013.10.007
https://doi.org/10.1016/j.jmaa.2013.10.007
Publikováno v:
Applicable Analysis. 93:14-34
The paper is devoted to local and global solvability in locally uniform spaces and to the existence of a global attractor for a parabolic problem containing fractional power of the minus Laplace operator. Several useful technical tools and estimates
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::aa148ab537fe755404b5e0cb29419609
https://doi.org/10.1080/00036811.2012.753587
https://doi.org/10.1080/00036811.2012.753587