A new approach to transport equations associated to a regular field: trace results and well-posedness

A new approximation of relaxed energies for harmonic maps and the Faddeev model

A new dynamical approach of Emden-Fowler equations and systems

A new geometric flow with rotational invariance

A new interaction potential for swarming models

A new model for self-organized dynamics and its flocking behavior

A New Multiscale Representation for Shapes and Its Application to Blood Vessel Recovery

A New Operator Theory Similar to Pseudo-Differential Operators

A New Perturbative Technique for Solving Integro-Partial Differential Equations

A new physical-space approach to decay for the wave equation with applications to black hole spacetimes

A new proof for the equivalence of weak and viscosity solutions for the $p$-Laplace equation

A new proof for the existence of an equivariant entire solution connecting the minima of the potential for the system Δu - W_u (u) = 0

A new proof of long range scattering for critical nonlinear Schrödinger equations

A new regularization possibility for the Boltzmann equation with soft potentials

A new result on backward uniqueness for parabolic operators

A new sharp estimate on the dimension of the attractor for the Dirichlet problem of the complex Ginzburg-Landau equation

A new solution representation for the BBM equation in a quarter plane and the eventual periodicity

A New Stability Result for Viscosity Solutions of Nonlinear Parabolic Equations with Weak Convergence in Time

A new stability results for the backward heat equation

A new variational approach to the stability of gravitational systems