Communications in Mathematical Sciences

On the convergence of frozen Gaussian approximation for linear non-strictly hyperbolic systems

Global well-posedness of the stochastic Camassa–Holm equation

Global existence of solution in the Besov space to the nonlinear wave equations in $\mathbb{R}^d$

Dynkin game for callable-puttable convertible bonds: the valuation and sensitivity analysis

Numerical approximations and error analysis of the Cahn–Hilliard equation with dynamic boundary conditions

Stability of equilibria to the model for non-isothermal electrokinetics

An improved small data theorem for the Vlasov–Poisson system

Dynamics of many species through competition for resources

Lovász extension and graph cut

Hypocoercivity of stochastic Galerkin formulations for stabilization of kinetic equations

Unidirectional flocks in hydrodynamic Euler alignment system II: singular models

Global smooth solutions in a two-dimensional cross-diffusion system modeling propagation of urban crime

A sharp convergence rate for a model equation of the asynchronous stochastic gradient descent

Hierarchical low-rank structure of parameterized distributions