Mitrovic, DarkoSusic, Jela2021-08-172021-08-172007-08-22Mitrovic, D., & Susic, J. (2007). Global solution to a Hopf equation and its application to non-strictly hyperbolic systems of conservation laws. <i>Electronic Journal of Differential Equations, 2007</i>(114), pp. 1-22.1072-6691https://hdl.handle.net/10877/14329From a Hopf equation we develop a recently introduced technique, the weak asymptotic method, for describing the shock wave formation and the interaction processes. Then, this technique is applied to a system of conservation laws arising from pressureless gas dynamics. As an example, we study the shock wave formation process in a two-dimensional scalar conservation laws arising in oil reservoir problems.Text22 pages1 file (.pdf)enAttribution 4.0 InternationalWeak asymptotic methodHopf equationShock wave formationPressureless gas dynamicsSystem of conservation lawsMultidimensional shocksArticle