Results 21 to 30 of about 275 (53)
Boundary value problems for the diffusion equation with piecewise continuous time delay
International Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 1, Page 187-195, 1997., 1996 A study is made of partial differential equations with piecewise constant arguments. Boundary value problems for three types of equations are discussed delayed; alternately of advanced and retarded type; and most importantly, an equation of neutral type (that is, including the derivative at different values of time t).
Joseph Wiener, Lokenath Debnath
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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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Global solution to the three-dimensional compressible flow of liquid crystals [PDF]
, 2013 The Cauchy problem for the three-dimensional compressible flow of nematic liquid crystals is considered. Existence and uniqueness of the global strong solution are established in critical Besov spaces provided that the initial datum is close to an ...
Hu, Xianpeng, Wu, Hao
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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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Well-posedness and long-time behavior for a nonstandard viscous Cahn-Hilliard system [PDF]
, 2011 We study a diffusion model of phase field type, consisting of a system of two partial differential equations encoding the balances of microforces and microenergy; the two unknowns are the order parameter and the chemical potential.
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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, 2008 In this paper, we establish the global well-posedness of the Cauchy problem for the Gross-Pitaevskii equation with an angular momentum rotational term in which the angular velocity is equal to the isotropic trapping frequency in the space $\Real^3 ...
Chengchun Hao +4 more
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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
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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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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.
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