5 citations · 5 across the 5 of their papers we have counts for
5 papers
High frequency waves and the maximal smoothing effect for nonlinear scalar conservation laws
Stéphane Junca
The article first studies the propagation of well prepared high frequency waves with small amplitude $\eps$ near constant solutions for entropy solutions of multidimensional nonlin…
Fractional BV spaces and first applications to scalar conservation laws
Christian Bourdarias, Marguerite Gisclon, Stéphane Junca
The aim of this paper is to obtain new fine properties of entropy solutions of nonlinear scalar conservation laws. For this purpose, we study some "fractional spaces" denoted…
Oscillating waves and optimal smoothing effect for one-dimensional nonlinear scalar conservation laws
Pierre Castelli, Stéphane Junca
Lions, Perthame, Tadmor conjectured in 1994 an optimal smoothing effect for entropy solutions of nonlinear scalar conservations laws . In this short paper we will restrict our atte…
Averaging lemmas with a force term in the transport equation
F. Berthelin, S. Junca
We obtain several averaging lemmas for transport operator with a force term. These lemmas improve the regularity yet known by not considering the force term as part of an arbitrary…
Dilatation of a one-dimensional nonlinear crack impacted by a periodic elastic wave
Stéphane Junca, Bruno Lombard
The interactions between linear elastic waves and a nonlinear crack with finite compressibility are studied in the one-dimensional context. Numerical studies on a hyperbolic model…