Global BV Solutions and Relaxation Limit for a System of Conservation
Debora Amadori and Graziano Guerra
We consider the Cauchy problem for the (strictly hyperbolic,
genuinely nonlinear) system of conservation laws with
ut - vx = 0,
vt - s(u)x = 1/h r(u,v).
Assume there exists an equilibrium curve A(u), such that
Under some assumptions on s and r, we prove the
existence of global (in time) solutions of
bounded variation, uh, vh, for h > 0
As h -> 0, we prove the convergence of a subsequence
of uh, vh to some u, v that satisfy
the equilibrium equations
ut - A(u)x = 0,
v(t, · ) = A(u(t, · ))
\forall t \geq 0.
- Available as PostScript.
- Global BV solutions and relaxation limit for a system of conservation
- Debora Amadori,
- Graziano Guerra,
- Publishing information:
- Submitted by:
September 22 1998.
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