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19952026
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math.AP2016★ 26 cited

Local existence of MHD contact discontinuities

Alessandro Morando, Yuri Trakhinin, Paola Trebeschi

We prove the local-in-time existence of solutions with a contact discontinuity of the equations of ideal compressible magnetohydrodynamics (MHD) for 2D planar flows provided that t…

math.AP2016★ 26 cited

Global existence results for viscoplasticity at finite strain

Alexander Mielke, Riccarda Rossi, Giuseppe Savaré

We study a model for rate-dependent gradient plasticity at finite strain based on the multiplicative decomposition of the strain tensor, and investigate the existence of global-in-…

math.AP2016

Inhomogeneous microlocal propagation of singularities in Fourier Lebesgue spaces

Gianluca Garello, Alessandro Morando

Some results of microlocal continuity for pseudodifferential operators whose non regular symbols belong to weighted Fourier Lebesgue spaces are given. Inhomogeneous local and micro…

math.AP2016

Steady states of elastically-coupled extensible double-beam systems

Filippo Dell'Oro, Claudio Giorgi, Vittorino Pata

Given and , we analyze an abstract version of the nonlinear stationary model in dimensionless form $$\begin{cases} u"" - \Big(β+ \varrho\int_0^1 |u'(s…

math.AP2016★ 8 cited

Stability of the 1D IBVP for a Non Autonomous Scalar Conservation Law

Rinaldo M. Colombo, Elena Rossi

We prove the stability with respect to the flux of solutions to initial-boundary value problems for scalar non-autonomous conservation laws in one space dimension. Key estimates ar…