ON ZERO MASS SOLUTIONS OF VISCOUS CONSERVATION LAWS
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Publication:4796721
DOI10.1081/PDE-120016137zbMath1021.35016arXivmath/0208111MaRDI QIDQ4796721
Grzegorz Karch, Maria Elena Schonbek
Publication date: 21 October 2003
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0208111
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Critical exponents in context of PDEs (35B33) Hyperbolic conservation laws (35L65) Initial value problems for second-order parabolic equations (35K15)
Related Items (7)
Large-time behaviour for anisotropic stable nonlocal diffusion problems with convection ⋮ A Fourier analysis approach to elliptic equations with critical potentials and nonlinear derivative terms ⋮ Smooth or singular solutions to the Navier-Stokes system? ⋮ Asymptotic profiles of solutions to convection-diffusion equations. ⋮ Viscous conservation laws in 1D with measure initial data ⋮ Large time decay of solutions to Burgers type equations ⋮ Asymptotic profiles of solutions to viscous Hamilton--Jacobi equations
Cites Work
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- Convergence to diffusion waves of solutions for viscous conservation laws
- Large time behavior for convection-diffusion equations in \(\mathbb{R}{} ^ N\)
- Scaling in nonlinear parabolic equations
- Weakly nonlinear large time behavior in scalar convection-diffusion equations
- Asymptotic behaviour and source-type solutions for a diffusion-convection equation
- Global existence and optimal temporal decay estimates for systems of parabolic conservation laws. II: The multidimensional case
- A generalization of a theorem by Kato on Navier-Stokes equations
- Large time behavior for convection-diffusion equations in \(\mathbb{R}^N\) with periodic coefficients
- \(L_q\)-decay rates of solutions for Benjamin-Bona-Mahony-Burgers equations
- Asymptotics for conservation laws involving Lévy diffusion generators
- Self-Similar Solutions of a Convection Diffusion Equation And Related Semilinear Elliptic Problems
- Large time behaviour of solutions to the navier-stokes equations
- Decay Results for Weak Solutions of the Navier-Stokes Equations on Rn
- Large-time behaviour of solutions to hyperbolic–parabolic systems of conservation laws and applications
- Decay of solution to parabolic conservation laws
- Self-similar large time behavior of solutions to Korteweg–de Vries–Burgers equation
- Large time behavior for convection-diffusion equations in irnwith asymptotically constant diffusion
- HARDY SPACES OF SOLENOIDAL VECTOR FIELDS, WITH APPLICATIONS TO THE NAVIER-STOKES EQUATIONS
- ?1 stability of shock waves in scalar viscous conservation laws
- Uniform decay rates for parabolic conservation laws
- Multi-dimensional diffusion waves for the Navier-Stokes equations of compressible flow
- Self-similar solutions for navier-stokes equations in
- Multifractal and Lévy conservation laws
- The partial differential equation ut + uux = μxx
- Decay of the total variation and Hardy norms of solutions to parabolic conservation laws
- Critical nonlinearity exponent and self-similar asymptotics for Lévy conservation laws
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