Stabilization of the wave equation with unbounded feedback of finite range.
Stabilization of walls for nano-wires of finite length
In this paper we study a one dimensional model of ferromagnetic nano-wires of finite length. First we justify the model by Γ-convergence arguments. Furthermore we prove the existence of wall profiles. These walls being unstable, we stabilize them by the mean of an applied magnetic field.
Stabilization of walls for nano-wires of finite length
In this paper we study a one dimensional model of ferromagnetic nano-wires of finite length. First we justify the model by Γ-convergence arguments. Furthermore we prove the existence of wall profiles. These walls being unstable, we stabilize them by the mean of an applied magnetic field.
Stabilization of walls for nano-wires of finite length
In this paper we study a one dimensional model of ferromagnetic nano-wires of finite length. First we justify the model by Γ-convergence arguments. Furthermore we prove the existence of wall profiles. These walls being unstable, we stabilize them by the mean of an applied magnetic field.
Stabilization of wave systems with input delay in the boundary control
In the present paper, we consider a wave system that is fixed at one end and a boundary control input possessing a partial time delay of weight is applied over the other end. Using a simple boundary velocity feedback law, we show that the closed loop system generates a C0 group of linear operators. After a spectral analysis, we show that the closed loop system is a Riesz one, that is, there is a sequence of eigenvectors and generalized eigenvectors that forms a Riesz basis for the state Hilbert...
Stabilized quasi-reversibility method for a class of nonlinear ill-posed problems.
Stabilizing influence of a Skew-symmetric operator in semilinear parabolic equation
Stable blow up dynamics for the critical co-rotational Wave Maps and equivariant Yang-Mills Problems
This note summarizes the results obtained in [30]. We exhibit stable finite time blow up regimes for the energy critical co-rotational Wave Map with the target in all homotopy classes and for the equivariant critical Yang-Mills problem. We derive sharp asymptotics on the dynamics at blow up time and prove quantization of the energy focused at the singularity.
Stable, chaotic and optimal solutions of first order partial differential equations related with the cell kinetics
Stable defects of minimizers of constrained variational principles
Stable discretization of a diffuse interface model for liquid-vapor flows with surface tension
The isothermal Navier–Stokes–Korteweg system is used to model dynamics of a compressible fluid exhibiting phase transitions between a liquid and a vapor phase in the presence of capillarity effects close to phase boundaries. Standard numerical discretizations are known to violate discrete versions of inherent energy inequalities, thus leading to spurious dynamics of computed solutions close to static equilibria (e.g., parasitic currents). In this work, we propose a time-implicit discretization of...
Stable finite element methods for the Stokes problem.
Stable multiple-layer stationary solutions of a semilinear parabolic equation in two-dimensional domains.
Stable periodic oscillations in systems with monotonous hysteresis nonlinearity
Stable solutions and their spatial structure of the Ginzburg-Landau equation
Stable solutions of in
Several Liouville-type theorems are presented for stable solutions of the equation in , where is a general convex, nondecreasing function. Extensions to solutions which are merely stable outside a compact set are discussed.
Stable subharmonic solutions and asymptotic behavior in reaction-diffusion equations.
Stable time periodic solutions for damped sine-Gordon equations.
Stable upwind schemes for the magnetic induction equation
We consider the magnetic induction equation for the evolution of a magnetic field in a plasma where the velocity is given. The aim is to design a numerical scheme which also handles the divergence constraint in a suitable manner. We design and analyze an upwind scheme based on the symmetrized version of the equations in the non-conservative form. The scheme is shown to converge to a weak solution of the equations. Furthermore, the discrete divergence produced by the scheme is shown to be...
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