The Pointwise Estimates of Solutions for Euler Equations with Damping in Multi-Dimensions

The Cauchy problem for quasi-linear symmetric hyperbolic systems

Tosio Kato · Archive for Rational Mechanics and Analysis · 1975 · 897 citations

Cauchy Problem, Nonlinear Hyperbolic Problem, Hyperbolic Equation +1

Convergence to nonlinear diffusion waves for solutions of a system of hyperbolic conservation laws with damping

Ling Hsiao, Tai-Ping Liu · Communications in Mathematical Physics · 1992 · 377 citations

Hyperbolic Conservation Law, Hyperbolic Conservation Laws, Diffusion Waves +4

Multi-dimensional diffusion waves for the Navier-Stokes equations of compressible flow

David Hoff, Kevin Zumbrun · Indiana University Mathematics Journal · 1995 · 323 citations · Full text

The Pointwise Estimates of Diffusion Wave for the Navier-Stokes Systems in Odd Multi-Dimensions

Tai-Ping Liu, Weike Wang · Communications in Mathematical Physics · 1998 · 237 citations

Numerical Analysis, Numerical Method For Partial Differential Equation, Free Boundary Problem +7

Large time behavior of solutions for general quasilinear hyperbolic-parabolic systems of conservation laws

Tai-Ping Liu, Yanni Zeng · Memoirs of the American Mathematical Society · 1997 · 218 citations

Conservation Law, Engineering, Hyperbolic Conservation Law +6