• Leis de conservacão escalar: fórmula explícita e unicidade 

      Rossini, Alex Ferreira (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, , 23/03/2011)
      We study scalar conservation laws, with the deduction of an explicit formula of a smooth solution with compact support, we also present the behavior of the solution given by the formula when the initial value is zero outside ...
    • Leis de conservação: teoria geral 

      Viana, Matheus Magaiver Barbosa (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 24/03/2022)
      In this thesis we study some aspects of the theory of Partial Differential Equations (PDE's), the theory of the existence and the uniqueness of classical solutions to the Cauchy problem u_t+f'(u)u_x=0, u(0,x)=u_0(x) in the ...