The pointwise estimate of solutions to the parabolic conservation law in multi-dimensions

DOI10.1007/s00030-013-0239-9zbMath1302.35084OpenAlexW2003131506MaRDI QIDQ464407

Fengbai Li, Weike Wang

Publication date: 17 October 2014

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-013-0239-9

zbMATH Keywords

decay ratesGreen functionlarge initial data

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) A priori estimates in context of PDEs (35B45) Initial value problems for second-order parabolic equations (35K15) Semilinear parabolic equations (35K58)

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Cites Work

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• Pointwise decaying rate of large perturbation around viscous shock for scalar viscous conservation law
• Pointwise estimates of solution for the Navier-Stokes-Poisson equations in multi-dimensions
• The pointwise estimates of diffusion wave for the Navier-Stokes systems in odd multi-dimensions
• Fractal Burgers equations
• Global solution and smoothing effect for a non-local regularization of a hyperbolic equation.
• Decay of solutions to fractal parabolic conservation laws with large initial data
• The pointwise estimates of solutions for semilinear dissipative wave equation in multi-dimensions
• Probabilistic approximation and inviscid limits for one-dimensional fractional conservation laws
• Fractal first-order partial differential equations
• Quasilinear parabolic equations and first order quasilinear conservation laws with bad Cauchy data
• Large time behavior of solutions for general quasilinear hyperbolic-parabolic systems of conservation laws
• Decay of solution to parabolic conservation laws
• The Green's function and large-time behavior of solutions for the one-dimensional Boltzmann equation
• Uniform decay rates for parabolic conservation laws
• Multi-dimensional diffusion waves for the Navier-Stokes equations of compressible flow
• THE POINTWISE ESTIMATES OF SOLUTIONS TO THE ISENTROPIC NAVIER–STOKES EQUATIONS IN EVEN SPACE-DIMENSIONS
• The partial differential equation u_t + uu_x = μ_xx
• The pointwise estimates of solutions for Euler equations with damping in multi-dimensions
• Critical nonlinearity exponent and self-similar asymptotics for Lévy conservation laws