Communications in Mathematical Sciences

Global small solutions to heat conductive compressible nematic liquid crystal system: smallness on a scaling invariant quantity

Sharp interface limit for compressible Navier–Stokes/Allen–Cahn system with shock wave

Discrete perturbed gradient flow and its application

Uniqueness of weak solutions to the Boussinesq equations with fractional dissipation

The global generalized solution of the chemotaxis-Navier–Stokes system with logistic source

Combining resampling and reweighting for faithful stochastic optimization

Boundedness in a three-dimensional chemotaxis-Stokes system involving a subcritical sensitivity and indirect signal production

Stability of contact discontinuity for an isentropic viscosity system with Chaplygin gas

Riemann–Hilbert problem for the focusing Hirota equation with counterpropagating flows

Fokker–Planck modeling of many-agent systems in swarm manufacturing: asymptotic analysis and numerical results

Sobolev training for physics-informed neural networks

Error estimate of the nonuniform $L1$ type formula for the time fractional diffusion-wave equation

The initial-boundary value problem for the Landau–Lifshitz equation with Gilbert damping term

Long term spatial homogeneity for a chemotaxis model with local sensing and consumption