On the rate of convergence and asymptotic profile of solutions to the viscous Burgers equation

Indiana University Mathematics Journal

Volumn 51, Issue 3, 2002, Pages 727-752

  Kim, Yong Jung ^a   Ni, Wei Ming ^a  

^a UNIVERSITY OF MINNESOTA   (United States)

Author keywords

Asymptotics; Convergence order; Diffusion waves; Diffusive N waves; Fundamental solutions; Heat equation; The first moment

Indexed keywords

EID: 0036054470     PISSN: 00222518     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (21)

1. Multiple-mode diffusion waves jar viscous non-strictly hyperbolic conservation laws
2. Convergence to diffusion waves of solutions for viscous conservation laws
3. Regularity and large time behaviour of solutions of a conservation law without convexity
4. Hyperbolic conservation laws in continuum physics
5. Decay and asymptotic behavior of solutions to nonlinear hyperbolic systems of conservation laws
6. N
7. Asymptotic behaviour and source-type solutions for a diffusion-convection equation
8. xx
9. Large-time behaviour of solutions to hyperbolic-parabolic systems of conservation laws and applications
10. Diffusive N-waves and metastability in Burgers equation
11. Hyperbolic systems of conservation laws. II
12. Decay to N-waves of solutions of general systems of nonlinear hyperbolic conservation laws
13. Interactions of nonlinear hyperbolic waves
14. Nonlinear hyperbolic-dissipative partial differential equations
15. Source-solutions and asymptotic behavior in conservation laws
16. Behaviors of solutions jar the Burgers equation with boundary corresponding to rarefaction waves
17. Large time behavior of solutions for general quasilinear hyperbolicparabolic systems of conservation laws
18. Singular integrals and diffrentiability properties of functions
19. Linear and nonlinear waves