Results 21 to 30 of about 298 (54)
Inhomogeneous Boundary Value Problem for Hartree Type Equation
, 2009 In this paper, we settle the problem for time-dependent Hartree equation with inhomogeneous boundary condition in a bounded Lipschitz domain in $\mathbb{R}^{N}$.
Adams R. A., Li Ma, Pei Cao
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Asymptotic behaviour of reversible chemical reaction-diffusion equations [PDF]
, 2010 We investigate the asymptotic behavior of the a large class of reversible chemical reaction-diffusion equations with the same diffusion. In particular we prove the optimal rate in two cases : when there is no diffusion and in the classical "two-by-two ...
Gentil, Ivan, Zegarlinski, Boguslaw
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Time discretization of nonlinear Cauchy problems applying to mixed hyperbolic‐parabolic equations
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 3, Page 481-494, 1996., 1995 In this paper we deal with the equation L(d2u/dt2) + B(du/dt) + Au∋f, where L and A are linear positive selfadjoint operators in a Hilbert space H and from a Hilbert space V ⊂ H to its dual space V′, respectively, and B is a maximal monotone operator from V to V′.
Pierluigi Colli, Angelo Favini
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A vanishing diffusion limit in a nonstandard system of phase field equations [PDF]
, 2012 We are concerned with a nonstandard phase field model of Cahn-Hilliard type. The model, which was introduced by Podio-Guidugli (Ric. Mat. 2006), describes two-species phase segregation and consists of a system of two highly nonlinearly coupled PDEs.
Colli, Pierluigi +3 more
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Remarks on the existence and decay of the nonlinear beam equation
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 2, Page 409-412, 1994., 1993 We will consider a class of nonlinear beam equation and we will prove the existence and decay weak ...
Jaime E. Mũnoz Rivera
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Global well-posedness for the Gross-Pitaevskii equation with an angular momentum rotational term
, 2008 In this paper, we establish the global well-posedness of the Cauchy problem for the Gross-Pitaevskii equation with an rotational angular momentum term in the space $\Real^2$.Comment: 10 ...
Avron +16 more
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Wellposedness results for the short pulse equation [PDF]
, 2014 The short pulse equation provides a model for the propagation of ultra-short light pulses in silica optical fibers. It is a nonlinear evolution equation.
Coclite, Giuseppe Maria, Lorenzo Di Ruvo
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A class of singularly perturbed evolution systems
International Journal of Stochastic Analysis, Volume 7, Issue 2, Page 179-190, 1994., 1994 In this paper we study a class of evolution equations where the semigroup generators are singularly perturbed by a nonnegative real valued function of time. Sufficient conditions for existence of evolution operators and their compactness are given including continuous dependence on the perturbation. Further, for a coupled system of singularly perturbed
N. U. Ahmed
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Blow-up of the viscous heat-conducting compressible flow [PDF]
, 2004 We show the blow-up of smooth solution of viscous heat-conducting flow when the initial density is compactly supported. This is an extension of Z.
Cho, Yonggeun, Jin, Bum Ja
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Impulsive nonlocal nonlinear parabolic differential problems
International Journal of Stochastic Analysis, Volume 6, Issue 3, Page 247-260, 1993., 1993 The aim of the paper is to prove a theorem about a weak impulsive nonlinear parabolic differential inequality together with weak impulsive nonlocal nonlinear inequalities. A weak maximum principle for an impulsive nonlinear parabolic differential inequality together with weak impulsive nonlocal nonlinear inequalities and an uniqueness criterion for the
Ludwik Byszewski
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