講者:林英杰 教授(國立高雄大學應用數學系)
時間:10月29日(一) 14:00-15:40
地點:致理大樓 MA620教室
題目:Concentration of source terms in generalized Glimm scheme for global
entropy solutions of nonlinear hyperbolic balance laws .
摘要:
In this talk, we investigate the Cauchy problem for a nonlinear hyperbolic system of balance laws
with sources axg and ath. To get the approximate solutions of our problem, we consider a version of
generalized Riemann problem that concentrates the variation of a on a thin T-shaped region of each grid.
A new version of Glimm scheme is introduced to construct the approximate solutions and its stability is
proved by considering two types of conditions on a. Finally, we verify the consistency of the scheme and
the entropy inequality to establish the global existence of entropy solutions.
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