372 citations
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Showing 2012 · math.APShow all
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math.AP2012★ 21 cited
Infinitesimal isometries on developable surfaces and asymptotic theories for thin developable shells
Peter Hornung, Marta Lewicka, Mohammad Reza Pakzad
We perform a detailed analysis of first order Sobolev-regular infinitesimal isometries on developable surfaces without affine regions. We prove that given enough regularity of the…
math.AP2012
Curves of steepest descent are entropy solutions for a class of degenerate convection-diffusion equations
Marco Di Francesco, Daniel Matthes
We consider a nonlinear degenerate convection-diffusion equation with inhomogeneous convection and prove that its entropy solutions in the sense of Kružkov are obtained as the - a…
math.AP2012★ 1 cited
Conservative-dissipative approximation schemes for a generalized Kramers equation
Manh Hong Duong, Mark A. Peletier, Johannes Zimmer
We propose three new discrete variational schemes that capture the conservative-dissipative structure of a generalized Kramers equation. The first two schemes are single-step minim…