Results 1 to 10 of about 62 (62)
Some of the next articles are maybe not open access.
Semilinear boundary value problems at resonance with general nonlinearities
Differential and Integral Equations, 1992exaly
Incompressible limit for compressible viscoelastic flows with large velocity
Advances in Nonlinear Analysis, 2023 We are concerned with the incompressible limit of global-in-time strong solutions with arbitrary large initial velocity for the three-dimensional compressible viscoelastic equations.
Hu Xianpeng +3 more
doaj +1 more source
Alexandria Engineering Journal, 2020 In this paper, an extension is paid to an idea of fractal and fractional derivatives which has been applied to a number of ordinary differential equations to model a system of partial differential equations.
Kolade M. Owolabi +2 more
doaj +1 more source
, 2022 The paper deals with a nonlinear elasticity system with nonconstant coefficients. The existence and uniqueness of the solution of Neumann’s problem is proved using Galerkin techniques and monotone operator theory, in Sobolev spaces with variable ...
MEROUANI, Boubakeur, ZOUBAI, Fayrouz
core +1 more source
Study of a mixed problem for a nonlinear elasticity system by topological degree
, 2021 In this paper, we consider a mixed problem for a nonlinear elasticity system with laws of general behavior. The coefficients of elasticity depends on x meanwhile the density of the volumetric forces depends on the displacement. The main aim of this paper
MEROUANI, Boubakeur, ZOUBAI, Fayrouz
core +1 more source
On the global well-posedness of discrete Boltzmann systems with chemical reaction [PDF]
, 2005 Classificação AMS: 76P05, 35A05, 35L50We study an initial-boundary value problem in one-space dimension for the discrete Boltzmann equation extended to a diatomic gas undergoing both elastic multiple collisions and chemical reactions.
Soares, A. J., Oliveira, Filipe
core +1 more source
The Poisson equation in homogeneous Sobolev spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 36, Page 1909-1921, 2004., 2004 We consider Poisson′s equation in an n‐dimensional exterior domain G(n ≥ 2) with a sufficiently smooth boundary. We prove that for external forces and boundary values given in certain Lq(G)‐spaces there exists a solution in the homogeneous Sobolev space S2,q(G), containing functions being local in Lq(G) and having second‐order derivatives in Lq(G ...
Tatiana Samrowski, Werner Varnhorn
wiley +1 more source
Generalized Cahn‐Hilliard equations based on a microforce balance
Journal of Applied Mathematics, Volume 2003, Issue 4, Page 165-185, 2003., 2003 We present some models of Cahn‐Hilliard equations based on a microforce balance proposed by M. Gurtin. We then study the existence and uniqueness of solutions.
Alain Miranville
wiley +1 more source
Positive solutions of higher order quasilinear elliptic equations
Abstract and Applied Analysis, Volume 7, Issue 8, Page 423-452, 2002., 2002 The higher order quasilinear elliptic equation −Δ(Δp(Δu)) = f(x, u) subject to Dirichlet boundary conditions may have unique and regular positive solution. If the domain is a ball, we obtain a priori estimate to the radial solutions via blowup. Extensions to systems and general domains are also presented. The basic ingredients are the maximum principle,
Marcelo Montenegro
wiley +1 more source