On a Free Boundary Problem for a Nonlinear Coupled System of Evolution Equations of Oceanography.
On a model of rotating superfluids
We consider an energy-functional describing rotating superfluids at a rotating velocity , and prove similar results as for the Ginzburg-Landau functional of superconductivity: mainly the existence of branches of solutions with vortices, the existence of a critical above which energy-minimizers have vortices, evaluations of the minimal energy as a function of , and the derivation of a limiting free-boundary problem.
On a model of rotating superfluids
We consider an energy-functional describing rotating superfluids at a rotating velocity ω, and prove similar results as for the Ginzburg-Landau functional of superconductivity: mainly the existence of branches of solutions with vortices, the existence of a critical ω above which energy-minimizers have vortices, evaluations of the minimal energy as a function of ω, and the derivation of a limiting free-boundary problem.
On a monodromy group and irreducibility conditions of a fourth order Fuchsian differential system of Okubo type.
On a new superposition principle for optimization problem
On a regularizing effect of Schrödinger type groups
On a Trace Functional for Formal Pseudo-Differential Operators and the Symplectic Structure of the Korteweg-Devries Type Equation.
On an initial-boundary value problem for the nonlinear Schrödinger equation.
On dynamics of viscoelastic multidimensional medium with variable boundary.
On existence and nonexistence results for nonlinear Schrödinger equations
On generalized Cauchy-Riemann equations on manifolds
On integration of differential equations in elastostatics through determination of the mean stress
On irrotational flows through cascades of profiles in a layer of variable thickness
The paper is devoted to the study of solvability of boundary value problems for the stream function, describing non-viscous, irrotional, subsonic flowes through cascades of profiles in a layer of variable thickness. From the definition of a classical solution the variational formulation is derive and the concept of a weak solution is introduced. The proof of the existence and uniqueness of the weak solution is based on the monotone operator theory.
On Isometric Immersions of the Hyperbolic Plane Into the Lorentz-Minkowski Space and the Monge-Ampère Equation of a Certain Type.
On nonparametric surfaces of constant mean curvature
On singularities of capillary surfaces in the absence of gravity.
On Solutions of the Initial Value Problem for the Nonlinear Schrödinger Equations in One Space Dimension.
On some sharp bounds for the off-diagonal elements of the homogenized tensor
In this paper we study bounds for the off-diagonal elements of the homogenized tensor for the stationary heat conduction problem. We also state that these bounds are sharp by proving a formula for the homogenized tensor in the case of laminate structures.
On Space-Time Means Everywhere Defined Scattering Operators for Nonlinear Klein-Gordon Equations.
On stability and growth of solutions for classes of initial and boundary value problems