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math.AP2017
A calibration method for estimating critical cavitation loads from below in 3D nonlinear elasticity
Jonathan J. Bevan, Jonathan H. B. Deane
In this paper we give an explicit sufficient condition for the affine map to be the global energy minimizer of a general class of elastic stored-energy functionals $I(…
math.AP2016
Explicit estimates on the torus for the sup-norm and the crest factor of solutions of the Modified Kuramoto-Sivashinky Equation in one and two space dimensions
Michele V. Bartuccelli, Jonathan H. Deane, Guido Gentile
We consider the Modified Kuramoto-Sivashinky Equation (MKSE) in one and two space dimensions and we obtain explicit and accurate estimates of various Sobolev norms of the solutions…