Results 11 to 20 of about 70 (67)
, 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
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Initial-boundary value problem for the Broadwell model of a gas mixture with bimolecular reaction [PDF]
, 1998 Classificação AMS: 76P05, 35A05, 35L50In this paper an initial-boundary value problem in one space dimension is studied for the Broadwell model extended to a gas mixture undergoing to bimolecular reactions.
Soares, A. J., Ana Jacinta Soares
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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
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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
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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
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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
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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
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Abstract and Applied Analysis, Volume 7, Issue 10, Page 547-561, 2002., 2002 We study the location of the peaks of solution for the critical growth problem −ε 2Δu+u=f(u)+u 2*−1, u > 0 in Ω, u = 0 on ∂Ω, where Ω is a bounded domain; 2* = 2N/(N − 2), N ≥ 3, is the critical Sobolev exponent and f has a behavior like up, 1 < p < 2* − 1.
Marco A. S. Souto
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Uniqueness of weak solution for nonlinear elliptic equations in divergence form
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 5, Page 313-318, 2000., 2000 We study the uniqueness of weak solutions for quasilinear elliptic equations in divergence form. Some counterexamples are given to show that our uniqueness result cannot be improved in the general case.
Xu Zhang
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A Picard‐Maclaurin theorem for initial value PDEs
Abstract and Applied Analysis, Volume 5, Issue 1, Page 47-63, 2000., 2000 In 1988, Parker and Sochacki announced a theorem which proved that the Picard iteration, properly modified, generates the Taylor series solution to any ordinary differential equation (ODE) on ℜn with a polynomial generator. In this paper, we present an analogous theorem for partial differential equations (PDEs) with polynomial generators and analytic ...
G. Edgar Parker, James S. Sochacki
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