Methods and Applications of Analysis

Preface

A new adaptive grid method based on iterative grid redistribution

Generalized hodograph transformation and its application to free boundary problems

Remarks on the relaxation approximation of the Burnett equations

On the dynamics of Ginzburg–Landau vortices in inhomogeneous superconductors

Uniform blow-up estimates for nonlinear heat equations and applications

The existence and non-existence of positive solutions of elliptic systems in $\mathbb{R}^N$

Counterexamples to bilinear estimates related with the KdV equation and the nonlinear Schrödinger equation

The selective decay principle for barotropic geophysical flows

A note to the regularity of solutions for the evolution $p$-Laplacian equations

Theory of a cosmic shock-wave

Some nonlinear functionals for scalar conservation laws

The Einstein–Dirac–Maxwell equations: Black hole solutions

Some mathematical analysis in semiconductor devices

Inflow and outflow problems in the half space for a one-dimensional isentropic model system of compressible viscous gas

Convergence analysis of relaxation schemes for conservation laws with stiff source terms

The Young measure method for a nonlinear variational wave equation

Asymptotic towards rarefaction wave of the Jin–Xin relaxation model for the $p$ system