Global existence and optimal temporal decay estimates for systems of parabolic conservation laws i: the one-dimensional case
From MaRDI portal
Publication:4487736
DOI10.1080/00036819808840683zbMath1034.35065OpenAlexW2054791548WikidataQ58137566 ScholiaQ58137566MaRDI QIDQ4487736
Publication date: 25 June 2000
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036819808840683
global existenceoptimal decay estimatesSobolev embedding theoremsentropy-entropy flux pairsnonlinear parabolic conservation laws
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Hyperbolic conservation laws (35L65)
Related Items (3)
Asymptotics of solutions of nonlinear parabolic equations. ⋮ Nonlinear stability of rarefaction waves for the compressible Navier-Stokes equations with large initial perturbation ⋮ A better asymptotic profile of Rosenau-Burgers equation
Cites Work
- Unnamed Item
- Multiple-mode diffusion waves for viscous nonstrictly hyperbolic conservation laws
- Global existence for systems of parabolic conservation laws in several space variables
- Convergence to diffusion waves of solutions for viscous conservation laws
- Geometric theory of semilinear parabolic equations
- Existence and non-existence of global solutions for a semilinear heat equation
- Unique global solution with respect to time of initial-boundary value problems for one-dimensional equations of a viscous gas
- Decay and asymptotics for \(\square u = F(u)\)
- A class of convergent finite difference schemes for certain nonlinear parabolic systems
- Estimates for Conservation Laws with Little Viscosity
- Decay of solution to parabolic conservation laws
- Uniform decay rates for parabolic conservation laws
- Solutions in the large for certain nonlinear parabolic systems in arbitrary spatial dimensions
- On some systems of quasilinear parabolic equations of the divergence type
- On the Cauchy problem for the system of fundamental equations describing the movement of compressible viscous fluid
This page was built for publication: Global existence and optimal temporal decay estimates for systems of parabolic conservation laws i: the one-dimensional case
