Asymptotics of solutions of nonlinear parabolic equations.
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Publication:1399902
DOI10.1016/S0022-0396(02)00196-1zbMath1036.35064OpenAlexW2079338473MaRDI QIDQ1399902
Publication date: 30 July 2003
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0022-0396(02)00196-1
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Initial value problems for second-order parabolic equations (35K15)
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Cites Work
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- Large time behavior of the solutions of a semilinear parabolic equation in \(\mathbb R^ n\)
- Multiple-mode diffusion waves for viscous nonstrictly hyperbolic conservation laws
- Solutions in the large for certain nonlinear parabolic systems
- Global existence for nonlinear parabolic equations
- Global existence for systems of parabolic conservation laws in several space variables
- Convergence to diffusion waves of solutions for viscous conservation laws
- The initial value problem for the equations of motion of viscous and heat-conductive gases
- Geometric theory of semilinear parabolic equations
- Existence and non-existence of global solutions for a semilinear heat equation
- Long-time behavior of solutions to nonlinear evolution equations
- Large time behavior for convection-diffusion equations in \(\mathbb{R}{} ^ N\)
- Asymptotic behaviour of solutions of some semilinear parabolic problems
- Asymptotic behaviour and source-type solutions for a diffusion-convection equation
- Large time decay estimates of solutions of nonlinear parabolic equations.
- Invariant manifolds for parabolic partial differential equations on unbounded domains
- Global existence and optimal temporal decay estimates for systems of parabolic conservation laws. II: The multidimensional case
- Asymptotic behaviour of solutions to the Korteweg-de Vries-Burgers system
- Asymptotic behavior of solutions of a semilinear heat equation with subcritical nonlinearity
- Decay and asymptotics for \(\square u = F(u)\)
- Large time behavior of solutions for general quasilinear hyperbolic-parabolic systems of conservation laws
- A class of convergent finite difference schemes for certain nonlinear parabolic systems
- Global existence of small solutions to a class of nonlinear evolution equations
- Remarks on global existence for nonlinear parabolic equations
- ON ASYMPTOTIC “EIGENFUNCTIONS” OF THE CAUCHY PROBLEM FOR A NONLINEAR PARABOLIC EQUATION
- Large-time behaviour of solutions to hyperbolic–parabolic systems of conservation laws and applications
- Estimates for Conservation Laws with Little Viscosity
- Decay of solution to parabolic conservation laws
- Renormalization group and asymptotics of solutions of nonlinear parabolic equations
- L1 asymptotic behavior of compressible, isentropic, viscous 1‐D flow
- Long-Time Behavior for a Convection-Diffusion Equation in Higher Dimensions
- Global existence and optimal temporal decay estimates for systems of parabolic conservation laws i: the one-dimensional case
- Uniform decay rates for parabolic conservation laws
- Global, small amplitude solutions to nonlinear evolution equations
- Multi-dimensional diffusion waves for the Navier-Stokes equations of compressible flow
- Asymptotically self-similar global solutions of a general semilinear heat equation
