Decay of positive waves in nonlinear systems of conservation laws

Alberto Bressan; Rinaldo M. Colombo

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1998)

  • Volume: 26, Issue: 1, page 133-160
  • ISSN: 0391-173X

How to cite

top

Bressan, Alberto, and Colombo, Rinaldo M.. "Decay of positive waves in nonlinear systems of conservation laws." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 26.1 (1998): 133-160. <http://eudml.org/doc/84318>.

@article{Bressan1998,
author = {Bressan, Alberto, Colombo, Rinaldo M.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {one space dimension; entropy solutions; wave-front tracking approximations; BV solutions},
language = {eng},
number = {1},
pages = {133-160},
publisher = {Scuola normale superiore},
title = {Decay of positive waves in nonlinear systems of conservation laws},
url = {http://eudml.org/doc/84318},
volume = {26},
year = {1998},
}

TY - JOUR
AU - Bressan, Alberto
AU - Colombo, Rinaldo M.
TI - Decay of positive waves in nonlinear systems of conservation laws
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1998
PB - Scuola normale superiore
VL - 26
IS - 1
SP - 133
EP - 160
LA - eng
KW - one space dimension; entropy solutions; wave-front tracking approximations; BV solutions
UR - http://eudml.org/doc/84318
ER -

References

top
  1. [1] P. Baiti - A. Bressan, Lower Semicontinuity of Weighted Path Length in BV, In "Geometrical Optics and Related Topics", F. Colombini and N. Lerner (eds.), Birkäuser, 1997. Zbl0891.35089MR2033490
  2. [2] A. Bressan, Global solutions to systems of conservation laws by wave-front tracking, J. Math. Anal. Appl.170 (1992), 414-432. Zbl0779.35067MR1188562
  3. [3] A. Bressan, "Lecture Notes on Systems of Conservation Laws", S.I.S.S.A., Trieste, 1995. 
  4. [4] A. Bressan, The unique limit of the Glimm scheme, Arch. Rational Mech. Anal.130 (1995), 205-230. Zbl0835.35088MR1337114
  5. [5] A. Bressan, The semigroup approach to systems of conservation laws, Mathematica Contemporanea10 (1996), 21-74. Zbl0866.35064MR1425453
  6. [6] A. Bressan - R.M. Colombo, The semigroup generated by 2 x 2 conservation laws, Arch. Rational Mech. Anal.133 (1995), 1-75. Zbl0849.35068MR1367356
  7. [7] A. Bressan - R.M. Colombo, Unique solutions of 2 x 2 conservation laws with large data, Indiana Univ. Math. J.44 (1995), 677-725. Zbl0852.35092MR1375345
  8. [8] A. Bressan - G. Crasta - B. Piccoli, Well posedness of the Cauchy Problem for n x n systems of conservation laws, preprint S.I.S.S.A., Trieste, 1996. Zbl0958.35001
  9. [9] C.M. Dafermos, Generalized characteristics in hyperbolic systems of conservation laws, Arch. Rational Mech. Anal.107 (1989),127-155. Zbl0714.35046
  10. [10] A.F. Filippov, "Differential Equations with Discontinuous Righthand Sides", Kluwer Academic Publisher, Dordrecht, 1988. Zbl0664.34001
  11. [11] J. Glimm, Solutions in the large for nonlinear hyperbolic systems of equations, Comm. Pure Appl. Math.18 (1965), 697-715. Zbl0141.28902
  12. [12] P. Lax, Hyperbolic systems of conservation laws II, Comm. Pure Appl. Math.10 (1957), 537-566. Zbl0081.08803
  13. [13] O. Oleinik, Discontinuous solutions of nonlinear differential equations, Usp. Mat. Nauk.12 (1957), 3-73; English translation: Amer. Math. Soc. Transl.26 (1963), 95-172. Zbl0131.31803
  14. [14] M. Schatzman, Continuous Glimm functionals and uniquess of solutions of the Riemann problem, Indiana Univ. Math. J.34 (1985), 533-589. Zbl0579.35053
  15. [15] J. Smoller, "Shock Waves and Reaction-Diffusion Equations", Springer-Verlag, New York, 1983. Zbl0508.35002
  16. [16] B. Temple, Systems of conservation laws with invariant submanifolds, Trans. Amer.Math. Soc.280 (1983), 781-795. Zbl0559.35046

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.