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Conservative vector field

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A vector field method on the distorted Fourier side and decay for wave equations with potentials

Joachim Krieger, Roland Donninger

We study the Cauchy problem for the one-dimensional wave equation

\partial_t^2 u(t,x)-\partial_x^2 u(t,x)+V(x)u(t,x)=0.

The potential

V

is assumed to be smooth with asymptotic behavior

V(x)\sim -\tfrac14 |x|^{-2}\mbox{ as } |x|\to \infty.

...

2016

Conservative vector field

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A vector field method on the distorted Fourier side and decay for wave equations with potentials

Formulation of the Field-to-Transmission Line Coupling Equations in Terms of Scalar and Vector Potentials

Theory of the Drift-Wave Instability at Arbitrary Collisionality

RANS computations of a confined cavitating tip-leakage vortex

Sur quelques équations aux dérivées partielles en lien avec le lemme de Poincaré

Fokker-Planck-Poisson kinetics: Multi-phase flow beyond equilibrium

A vector field method on the distorted Fourier side and decay for wave equations with potentials

Logarithmic estimates for continuity equations

Automated Multiscale Approach To Predict Self-Diffusion from a Potential Energy Field

Generalized resolution matrix for neutron spin-echo three-axis spectrometers

Theory of the Drift-Wave Instability at Arbitrary Collisionality