Some results concerning global existence results for solutions of general conservative advection-diffusion equations in R

Authors

  • Patrícia L. Guidolin
  • Linéia Schütz
  • Juliana S. Ziebell
  • Janaína P. Zíngano

Abstract

The main idea of this work is to present some results of [1] about an asymptotic behavior of non-negative bounded solutions to the initial value problem [...]

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Author Biographies

Patrícia L. Guidolin

UFRGS, Porto Alegre, ,RS

Linéia Schütz

UFRGS, Porto Alegre, ,RS

Juliana S. Ziebell

UFRGS, Porto Alegre, ,RS

Janaína P. Zíngano

UFRGS, Porto Alegre, ,RS

References

P.L. Guidolin, L. Schütz, J.S. Ziebell e J.P. Zingano. “Global existence results for solutions of general conservative advection-diffusion equations in R”. Em: Journal of Mathematical Analysis and Applications 515 (2022), p. 126361. doi: 10.1016/j.jmaa.2022.126361.

O. A. Ladyzhenskaya, V. A. Solonnikov e N. N. Uralceva. Linear and Quasilinear Equations of Parabolic Type. Vol. 23. Providence: American Mathematial Society, 1968. isbn: 0821815733.

D. Serre. Systems of Conservation Laws. Vol. 1. Cambridge: Cambridge University Press, 1999. isbn: 0521582334.

N.L. Diehl, L. Fabris e P. R. Zingano. “Comparison results for smooth solutions of quasilinear parabolic equations”. Em: Adv. Diff. Eqs. Control Proc. 14 (2014), pp. 11–22.

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Published

2023-12-18