The existence of global solutions to the elliptic-hyperbolic Davey-Stewartson system with small initial data
The far-field modelling of transonic compressible flows
We present a method for the construction of artificial far-field boundary conditions for two- and three-dimensional exterior compressible viscous flows in aerodynamics. Since at some distance to the surrounded body (e.g. aeroplane, wing section, etc.) the convective forces are strongly dominant over the viscous ones, the viscosity effects are neglected there and the flow is assumed to be inviscid. Accordingly, we consider two different model zones leading to a decomposition of the original flow...
The Fermi surface for the discretized Maxwell equations
The Feynman path integral as an improper integral over the Sobolev space
The fifth-order Korteweg-de Vries equation.
The finite element method with nodes moving along the characteristics for convection-diffusion equations.
The form boundedness criterion for the relativistic Schrödinger operator
We establish necessary and sufficient conditions on the real- or complex-valued potential defined on for the relativistic Schrödinger operator to be bounded as an operator from the Sobolev space to its dual .
The form factor program: a review and new results - the nested off-shell Bethe ansatz.
The Fourier spectral method for the Sivashinsky equation.
The Fundamental Solution for the Kohn-Laplacian ....b on the Sphere in Cn.
The fundamental solution of a modified Oseen problem.
The gaps in the spectrum of the Schrödinger operator
We obtain inequalities between the eigenvalues of the Schrödinger operator on a compact domain Ω of a submanifold M in with boundary ∂Ω, which generalize many existing inequalities for the Laplacian on a bounded domain of a Euclidean space. We also establish similar inequalities for a closed minimal submanifold in the unit sphere, which generalize and improve Yang-Yau’s result.
The Gauss center research in multiscale scientific computation.
The generalized Burgers equation with and without a time delay.
The Ginzburg-Landau equations of superconductivity and the one-phase Stefan problem
The Global Cauchy Problem for the Non Linear Klein-Gordon Equation.
The global Cauchy problem for the non linear Klein-Gordon equation-II
The global Cauchy problem for the non linear Schrödinger equation revisited
The global existence of weak solutions of the mollified system of equations of motion of viscous compressible fluid
The global nonlinear stability of the Minkowski space