A singular perturbation nonlinear boundary value problem and the $E$-condition for a scalar conservation law

@inproceedings{Jiang1992ASP,
  title={A singular perturbation nonlinear boundary value problem and the \$E\$-condition for a scalar conservation law},
  author={J. Z. Jiang and X. K. Wang},
  year={1992}
}
This paper deals with the singular perturbation boundary value problem r e(k(v(s))v'{s))' + (sg(v(s)) <p(v{s)))v'(s) + = 0 in R, 1 u(—oc) = A , v(+oo ) = B; e>0, A<B whose solution ve(s) is constructed by the aid of the solution we(t) to the two-point boundary value problem /w\t) (p{t) + ef(t)k(t)/w{t) V _ ek(t) \ g(t) J w(t) ' w{A) = 0, w(B) 0. The restrictions on <p(t), g(t), k(t), and f(t) not only ensure that the two-point boundary value problem has a solution we(t) but also guarantee that… CONTINUE READING

References

Publications referenced by this paper.
SHOWING 1-6 OF 6 REFERENCES

Hoegh-Krohn, A class of N nonlinear hyperbolic conservation laws

R. L. Holden
  • J. of Differential Equations
  • 1990
VIEW 10 EXCERPTS
HIGHLY INFLUENTIAL

The jump conditions for second order quasilinear degenerate parabolic equations

Wang Junyu
  • J. Partial Differential Equations
  • 1990
VIEW 9 EXCERPTS
HIGHLY INFLUENTIAL

Shock Waves and Reaction-Diffusion Equations

VIEW 10 EXCERPTS
HIGHLY INFLUENTIAL

Dafermos, Polygonal approximations of solutions of the initial value problem for a conservation law

C M.
  • J. Math. Anal. Appl
  • 1972
VIEW 2 EXCERPTS