Fokker-Planck equation in bounded domain

Laurent Chupin

Displaying similar documents to “Fokker-Planck equation in bounded domain”

Accurate eigenvalue asymptotics for the magnetic Neumann Laplacian

Soeren Fournais, Bernard Helffer (2006)

Annales de l’institut Fourier

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Motivated by the theory of superconductivity and more precisely by the problem of the onset of superconductivity in dimension two, many papers devoted to the analysis in a semi-classical regime of the lowest eigenvalue of the Schrödinger operator with magnetic field have appeared recently. Here we would like to mention the works by Bernoff-Sternberg, Lu-Pan, Del Pino-Felmer-Sternberg and Helffer-Morame and also Bauman-Phillips-Tang for the case of a disc. In the present paper we settle...

A system of semilinear evolution equations with homogeneous boundary conditions for thin plates coupled with membranes.

Hernández, Jairo (2005)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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On the concave solutions of the Blasius equation.

Belhachmi, Z., Brighi, B., Taous, K. (2000)

Acta Mathematica Universitatis Comenianae. New Series

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On harmonic continuation of differentiable functions defined on a part of the boundary.

Yarmukhamedov, Sharof (2002)

Sibirskij Matematicheskij Zhurnal

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Klein-Gordon type decay rates for wave equations with time-dependent coefficients

Michael Reissig, Karen Yagdjian (2000)

Banach Center Publications

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This work is concerned with the proof of $L_{p} - L_{q}$ decay estimates for solutions of the Cauchy problem for the Klein-Gordon type equation $u_{t t} - λ^{2} (t) b^{2} (t) (Δ u - m^{2} u) = 0$ . The coefficient consists of an increasing smooth function $λ$ and an oscillating smooth and bounded function b which are uniformly separated from zero. Moreover, $m^{2}$ is a positive constant. We study under which assumptions for λ and b one can expect as an essential part of the decay rate the classical Klein-Gordon decay rate n/2(1/p-1/q).

On the distribution of the free path length of the linear flow in a honeycomb

Florin P. Boca, Radu N. Gologan (2009)

Annales de l’institut Fourier

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Consider the region obtained by removing from $ℝ^{2}$ the discs of radius $ε$ , centered at the points of integer coordinates $(a, b)$ with $b ≢ a (mod ℓ)$ . We are interested in the distribution of the free path length (exit time) $τ_{ℓ, ε} (ω)$ of a point particle, moving from $(0, 0)$ along a linear trajectory of direction $ω$ , as $ε \to 0^{+}$ . For every integer number $ℓ \geq 2$ , we prove the weak convergence of the probability measures associated with the random variables $ε τ_{ℓ, ε}$ , explicitly computing the limiting distribution. For $ℓ = 3$ , respectively $ℓ = 2$ , this...

Vorticity internal transition layers for the Navier-Stokes equations

Franck Sueur (2008)

Journées Équations aux dérivées partielles

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We deal with the incompressible Navier-Stokes equations, in two and three dimensions, when some vortex patches are prescribed as initial data i.e. when there is an internal boundary across which the vorticity is discontinuous. We show -thanks to an asymptotic expansion- that there is a sharp but smooth variation of the fluid vorticity into a internal layer moving with the flow of the Euler equations; as long as this later exists and as $t < < 1 / ν$ , where $ν$ is the viscosity coefficient. ...