Injective weak solutions in second-gradient nonlinear elasticity

The proof of theorem 4.1 actually shows that the heat kernel associated to the Lichnerowicz operator is positivity improving in case (M n , g 0 (t)) t≥0 is an expanding gradient

Maintaining himself loyal to Hegel, he accepts the rel- evance of civil society, but always subordinate to the State, the true “we”, as the interests of the civil society and the

The schemes are con- structed by combing a discontinuous Galerkin approximation to the Vlasov equation together with a mixed finite element method for the Poisson problem.. We

We introduce a family of DG methods for (1.1)–(1.3) based on the coupling of a DG approximation to the Vlasov equation (transport equation) with several mixed finite element methods

Approximation in Sobolev spaces of nonlinear expressions involving the gradient 253 T h e next results concern properties of functions from the Sobolev

First introduced by Faddeev and Kashaev [7, 9], the quantum dilogarithm G b (x) and its variants S b (x) and g b (x) play a crucial role in the study of positive representations

A second scheme is associated with a decentered shock-capturing–type space discretization: the II scheme for the viscous linearized Euler–Poisson (LVEP) system (see section 3.3)..

To improve the temporal accuracy, the semi-implicit spectral deferred correction (SDC) method and a high order semi-implicit Runge–Kutta method combining with the first order