Results 1 to 10 of about 298 (54)
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
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.
Bellomo +16 more
core +1 more source
On the harmonic Boltzmannian waves in laser-plasma interaction [PDF]
, 2006 We study the permanent regimes of the reduced Vlasov-Maxwell system for laser-plasma interaction. A non-relativistic and two different relativistic models are investigated.
Bostan M +9 more
core +5 more sources
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
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.
core +1 more source
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
wiley +1 more source
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
wiley +1 more source
Exact Boundary Conditions at an Artificial Boundary for Partial Differential Equations in Cylinders [PDF]
, 1986 The numerical solution of partial differential equations in unbounded domains requires a finite computational domain. Often one obtains a finite domain by introducing an artificial boundary and imposing boundary conditions there. This paper derives exact
Hagstrom, Thomas, Keller, H. B.
core +1 more source