Continuous dependence in L 2 for discontinuous solutions of the viscous p -system

David Hoff; Roger Zarnowski

Annales de l'I.H.P. Analyse non linéaire (1994)

  • Volume: 11, Issue: 2, page 159-187
  • ISSN: 0294-1449

How to cite

top

Hoff, David, and Zarnowski, Roger. "Continuous dependence in $L^2$ for discontinuous solutions of the viscous $p$-system." Annales de l'I.H.P. Analyse non linéaire 11.2 (1994): 159-187. <http://eudml.org/doc/78327>.

@article{Hoff1994,
author = {Hoff, David, Zarnowski, Roger},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {discontinuous solutions of the Navier-Stokes equations; continuous dependence; rates of convergence; finite difference approximations},
language = {eng},
number = {2},
pages = {159-187},
publisher = {Gauthier-Villars},
title = {Continuous dependence in $L^2$ for discontinuous solutions of the viscous $p$-system},
url = {http://eudml.org/doc/78327},
volume = {11},
year = {1994},
}

TY - JOUR
AU - Hoff, David
AU - Zarnowski, Roger
TI - Continuous dependence in $L^2$ for discontinuous solutions of the viscous $p$-system
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1994
PB - Gauthier-Villars
VL - 11
IS - 2
SP - 159
EP - 187
LA - eng
KW - discontinuous solutions of the Navier-Stokes equations; continuous dependence; rates of convergence; finite difference approximations
UR - http://eudml.org/doc/78327
ER -

References

top
  1. [1] W.F. Donoghue Jr., Distributions and Fourier Transforms, Academic Press, 1969. Zbl0188.18102
  2. [2] D. Hoff, Construction of Solutions for Compressible, Isentropic Navier-Stokes Equations in one Space Dimension with Nonsmooth Initial Data, Proc. Royal Soc. Edinburgh, Sect. A103, 1986, pp. 301-315. Zbl0635.35074MR866843
  3. [3] D. Hoff, Global Existence for ID, Compressible, Isentropic Navier-Stokes Equations with Large Initial Data, Trans. Amer. Math. Soc., Vol. 303, No. 11, 1987, pp. 169-181. Zbl0656.76064MR896014
  4. [4] D. Hoff, Discontinuous Solutions of the Navier-Stokes Equations for Compressible Flow, Archive Rational. Mech. Ana., Vol. 114, 1991, pp. 15-46. Zbl0732.35071MR1088275
  5. [5] D. Hoff, Global Well-Posedness of the Cauchy Problem for Nonisentropic Gas Dynamics with Discontinuous Initial Data, J. Differential Equations, Vol. 95, No. 1, 1992, pp. 33-73. Zbl0762.35085MR1142276
  6. [6] D. Hoff and J. Smoller, Error Bounds for Glimm Difference Approximations for Scalar Conservation Laws, Trans. Amer. Math. Soc., Vol. 289, 1985, pp. 611-642. Zbl0579.65096MR784006
  7. [7] N.N. Kuznetsov, Accuracy of Some Approximate Methods for Computing the Weak Solutions of a First-Order Quasilinear Equation, Zh. Vychisl. Math. Fiz., Vol. 16, 1976, pp. 1489-1502. Zbl0354.35021MR483509
  8. [8] R. Zarnowski and D. Hoff, A Finite Difference Scheme for the Navier-Stokes Equations of Compressible, Isentropic Flow, SIAM J. on Numer. Anal., Vol. 28, 1991, pp. 78-112. Zbl0727.76094MR1083325
  9. [9] R. Zarnowski, Existence, Uniqueness, and Computation of Solutions for Mixed Problems in Compressible Flow, J. Math. Anal. and Appl., Vol. 169, No. 2, 1992, pp. 515-545. Zbl0777.35063MR1180907

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.