-analyticity of Schrödinger semigroups on Riemannian manifolds
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Hendrik Vogt (2003)
Banach Center Publications
Wisam Alame, Wojciech M. Zajączkowski (2011)
Applicationes Mathematicae
We prove the large time existence of solutions to the magnetohydrodynamics equations with slip boundary conditions in a cylindrical domain. Assuming smallness of the L₂-norms of the derivatives of the initial velocity and of the magnetic field with respect to the variable along the axis of the cylinder, we are able to obtain an estimate for the velocity and the magnetic field in without restriction on their magnitude. Then the existence follows from the Leray-Schauder fixed point theorem.
Solev, V.N., Gerville-Reache, L. (2005)
Zapiski Nauchnykh Seminarov POMI
Jean Bellissard (1991/1992)
Séminaire Bourbaki
Akdim, Youssef, Benkirane, Abdelmoujib, Rhoudaf, Mohamed (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Anane, Aomar, Chakrone, Omar, Moutaouekkil, Loubna (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Dhage, B.C., Bellale, S.S. (2008)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Hana Petzeltová (1994)
Mathematica Bohemica
The existence and attractivity of a local center manifold for fully nonlinear parabolic equation with infinite delay is proved with help of a solutions semigroup constructed on the space of initial conditions. The result is applied to the stability problem for a parabolic integrodifferential equation.
Eric Cancès, Gabriel Stoltz, Gustavo E. Scuseria, Viktor N. Staroverov, Ernest R. Davidson (2009)
MathematicS In Action
The Hartree-Fock exchange operator is an integral operator arising in the Hartree-Fock model as well as in some instances of the density functional theory. In a number of applications, it is convenient to approximate this integral operator by a multiplication operator, i.e. by a local potential. This article presents a detailed analysis of the mathematical properties of various local approximations to the nonlocal Hartree-Fock exchange operator including the Slater potential, the optimized effective...
Jolanta Socała, Wojciech M. Zajączkowski (2009)
Applicationes Mathematicae
Global existence of regular solutions to the Navier-Stokes equations for (v,p) coupled with the heat convection equation for θ is proved in the two-dimensional case in a bounded domain. We assume the slip boundary conditions for velocity and the Neumann condition for temperature. First an appropriate estimate is shown and next the existence is proved by the Leray-Schauder fixed point theorem. We prove the existence of solutions such that , , s>2.
Guarneri, I., Schulz-Baldes, H. (1999)
Mathematical Physics Electronic Journal [electronic only]
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