5 citations · 5 across the 3 of their papers we have counts for
3 papers
math.AP2013
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…
math.AP2013
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…
math.AP2013★ 5 cited
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…