Results 1 to 10 of about 204 (58)

Thermal Timoshenko beam system with suspenders and Kelvin–Voigt damping

open access: yesFrontiers in Applied Mathematics and Statistics, 2023
In the present study, we consider a thermal-Timoshenko-beam system with suspenders and Kelvin–Voigt damping type, where the heat is given by Cattaneo's law. Using the existing semi-group theory and energy method, we establish the existence and uniqueness
Soh Edwin Mukiawa   +4 more
doaj   +2 more sources

Global regularity for systems with p-structure depending on the symmetric gradient [PDF]

open access: yesAdvances in Nonlinear Analysis, 2018
In this paper we study on smooth bounded domains the global regularity (up to the boundary) for weak solutions to systems having p-structure depending only on the symmetric part of the gradient.
Berselli Luigi C., Růžička Michael
doaj   +3 more sources

Maximal Lp -Lq regularity to the Stokes problem with Navier boundary conditions

open access: yesAdvances in Nonlinear Analysis, 2017
We prove in this paper some results on the complex and fractional powers of the Stokes operator with slip frictionless boundary conditions involving the stress tensor.
Al Baba Hind
doaj   +2 more sources

Positive solutions for (p, q)-equations with convection and a sign-changing reaction

open access: yesAdvances in Nonlinear Analysis, 2021
We consider a nonlinear Dirichlet problem driven by the (p, q)-Laplacian and with a reaction which is dependent on the gradient. We look for positive solutions and we do not assume that the reaction is nonnegative.
Zeng Shengda, Papageorgiou Nikolaos S.
doaj   +1 more source

On non-resistive limit of 1D MHD equations with no vacuum at infinity

open access: yesAdvances in Nonlinear Analysis, 2021
In this paper, the Cauchy problem for the one-dimensional compressible isentropic magnetohydrodynamic (MHD) equations with no vacuum at infinity is considered, but the initial vacuum can be permitted inside the region. By deriving a priori ν (resistivity
Li Zilai, Wang Huaqiao, Ye Yulin
doaj   +1 more source

Existence of strong solutions for a class of semilinear evolution equations with nonlocal initial conditions

open access: yesAdvances in Differential Equations, 2012
This paper discusses the existence of strong solutions for a class of semilinear evolution equations with nonlocal initial conditions in Hilbert spaces. The discussion is based on analytic semigroups theory and fixed point theorem.
Pengyu Chen, Yongxiang Li, Hongxia Fan
semanticscholar   +2 more sources

On a Class of Caputo Time Fractional Problems with Boundary Integral Conditions

open access: yesMoroccan Journal of Pure and Applied Analysis, 2021
The aim of this paper is to work out the solvability of a class of Caputo time fractional problems with boundary integral conditions. A generalized formula of integration is demonstrated and applied to establish the a priori estimate of the solution ...
Aggoun Karim, Merad Ahcene
doaj   +1 more source

Existence of solutions to strongly damped quasilinear wave equations

open access: yesAdvances in Differential Equations, 2012
In this paper, we study the strongly damped quasilinear wave equation. By using spatial sequence techniques and energy estimate methods, we obtain the existence theorem of the solution to abstract a strongly damped wave equation and to a class of ...
Hongying Luo, Li-mei Li, T. Ma
semanticscholar   +2 more sources

Regularity of global solution to atmospheric circulation equations with humidity effect

open access: yesBoundary Value Problems, 2012
In this article, the regularity of the global solutions to atmospheric circulation equations with humidity effect is considered. Firstly, the formula of the global solutions is obtained by using the theory of linear operator semigroups.
Hongying Luo
semanticscholar   +2 more sources

Well-posedness and stability analysis for Timoshenko beam system with Coleman-Gurtin's and Gurtin-Pipkin's thermal laws

open access: yesOpen Mathematics, 2023
In this article, the effect of Coleman-Gurtin’s and Gurtin-Pipkin’s thermal laws on the displacement of a Timoshenko beam system with suspenders is studied.
Mukiawa Soh Edwin
doaj   +1 more source

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