Exact controllability in projections for three-dimensional Navier–Stokes equations
Exact propagators for soliton potentials.
Exact solutions and localized structures for higher-dimensional Burgers systems.
Exact solutions and symmetry operators for the nonlocal Gross-Pitaevskii equation with quadratic potential.
Exact solutions for a new fifth-order integrable system.
Exact solutions for a third-order KdV equation with variable coefficients and forcing term.
Exact solutions for equations of Bose-Fermi mixtures in one-dimensional optical lattice.
Exact solutions for the generalized BBM equation with variable coefficients.
Exact solutions of steady plane flows using -coordinates.
Exact solutions of steady plane MHD aligned flows using - or -coordinates.
Exact solutions of the generalized Benjamin-Bona-Mahony equation.
Exact solutions to KdV6 equation by using a new approach of the projective Riccati equation method.
Examples of discontinuous, divergence-free solutions to elliptic variational problems
We give an example of a bounded discontinuous divergence-free solution of a linear elliptic system with measurable bounded coefficients in and a corresponding example for a Stokes-like system.
Excess charge for pseudo-relativistic atoms in Hartree-Fock theory.
Existence and analyticity of lump solutions for generalized Benney-Luke equations.
Existence and asymptotic behaviour of standing waves for quasilinear Schrödinger–Poisson systems in
Existence and asymptotics of solutions of the Debye-Nernst-Planck system in ℝ²
We investigate a system describing electrically charged particles in the whole space ℝ². Our main goal is to describe large time behavior of solutions which start their evolution from initial data of small size. This is achieved using radially symmetric self-similar solutions.
Existence and continuous dependence results in the dynamical theory of piezoelectricity
The paper is concerned with the dynamical theory of linear piezoelectricity. First, an existence theorem is derived. Then, the continuous dependence of the solutions upon the initial data and body forces is investigated.
Existence and orbital stability of cnoidal waves for a 1D Boussinesq equation.
Existence and regularity of solutions of a phase field model for solidification with convection of pure materials in two dimensions.