Zobrazeno 1 - 10
of 24
pro vyhledávání: '"Joseph L. Shomberg"'
Autor:
Eylem Öztürk, Joseph L. Shomberg
Publikováno v:
Fractal and Fractional, Vol 6, Iss 9, p 505 (2022)
We examine a viscous Cahn–Hilliard phase-separation model with memory and where the chemical potential possesses a nonlocal fractional Laplacian operator. The existence of global weak solutions is proven using a Galerkin approximation scheme. A con
Externí odkaz:
https://doaj.org/article/2603c91ed62643a8a3ef4fdd95bc7409
Autor:
Joseph L. Shomberg
Publikováno v:
Electronic Journal of Differential Equations, Vol 2018, Iss 152,, Pp 1-33 (2018)
Under consideration is the damped semilinear wave equation $$ u_{tt}+u_t-\Delta u+u+f(u)=0 $$ in a bounded domain $\Omega$ in $\mathbb{R}^3$ subject to an acoustic boundary condition with a singular perturbation, which we term "massless acousti
Externí odkaz:
https://doaj.org/article/17cb15d5397d4d67a97f4b79daa16ca7
Autor:
Joseph L. Shomberg
Publikováno v:
AIMS Mathematics, Vol 2, Iss 3, Pp 557-561 (2017)
We provide a new proof of the upper-semicontinuity property for the global attractorsadmitted by the solution operators associated with some strongly damped wave equations. In particular,we demonstrate an explicit control over semidistances between t
Externí odkaz:
https://doaj.org/article/989eaf8ef638425e9f7101f9c4fdbba5
Autor:
Joseph L. Shomberg
Publikováno v:
Ural Mathematical Journal, Vol 5, Iss 1 (2019)
We consider the wave equation with degenerate viscoelastic dissipation recently examined in Cavalcanti, Fatori, and Ma, Attractors for wave equations with degenerate memory, J. Differential Equations (2016). Under certain extra assumptions (namely on
Externí odkaz:
https://doaj.org/article/97f579f824f0425ba0edbf0fe0527c12
Autor:
Joseph L. Shomberg
Publikováno v:
AIMS Mathematics, Vol 1, Iss 2, Pp 102-136 (2016)
We investigate a non-isothermal viscous relaxation of some nonlocal Cahn-Hilliard equations. This perturbation problem generates a family of solution operators exhibiting dissipation and conservation. The solution operators admit a family of compact
Externí odkaz:
https://doaj.org/article/2c14ea82d66f40dfbae91b439f7bed4f
Autor:
Joseph L. Shomberg
Publikováno v:
Electronic Journal of Differential Equations, Vol 2016, Iss 47,, Pp 1-35 (2016)
Well-posedness of generalized Coleman-Gurtin equations equipped with dynamic boundary conditions with memory was recently established by the author with C. G. Gal. In this article we report advances concerning the asymptotic behavior and stability
Externí odkaz:
https://doaj.org/article/dd4aa2b713724e118449840ba5ac64a7
Autor:
Ciprian G. Gal, Joseph L. Shomberg
Publikováno v:
Annales de l'Institut Henri Poincaré C, Analyse non linéaire. 39:1179-1234
Autor:
Joseph L. Shomberg
Publikováno v:
Bulletin of the Australian Mathematical Society. 99:432-444
We demonstrate the global existence of weak solutions to a class of semilinear strongly damped wave equations possessing nonlinear hyperbolic dynamic boundary conditions. The associated linear operator is $(-\unicode[STIX]{x1D6E5}_{W})^{\unicode[STIX
Autor:
Joseph L. Shomberg
Publikováno v:
Topol. Methods Nonlinear Anal. 55, no. 1 (2020), 281-315
The well-posedness of a generalized Coleman--Gurtin equation equipped with dynamic boundary conditions with memory was recently established by C.G. Gal and the author. Additionally, it was established by the author that the problem admits a finite di
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::254431394f08866825fa5fc8b3e7df53
http://arxiv.org/abs/1910.00396
http://arxiv.org/abs/1910.00396
Autor:
Joseph L. Shomberg
Publikováno v:
Rocky Mountain J. Math. 49, no. 4 (2019), 1307-1334
We examine the well-posedness of a strongly damped wave equation equipped with fractional diffusion operators. Ranges on the orders of the diffusion operators are determined in connection with global well-posedness of mild solutions or the global exi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d8b31356b75429924c4a87e50b4867c6
https://projecteuclid.org/euclid.rmjm/1567044041
https://projecteuclid.org/euclid.rmjm/1567044041