Zobrazeno 1 - 10
of 146
pro vyhledávání: '"Daniel Toundykov"'
Analytical modeling of hyporheic flow for in-stream bedforms: Perturbation method and implementation
Publikováno v:
Environmental Modelling & Software. 111:375-385
Hyporheic flow and nutrient turnover in hyporheic systems are strongly influenced by in-stream bedforms. An accurate representation of topographical variations of the stream-streambed interface is therefore essential in analytical models in order to
Autor:
Jean-Paul Zolésio, Daniel Toundykov
Publikováno v:
Nonlinear Analysis: Real World Applications. 39:213-232
A wave equation on a time-dependent domain is considered. The shape of the domain changes according to a prescribed space/time-dependent velocity field. On the moving boundary the solution satisfies zero Dirichlet condition. It is known that if the d
Publikováno v:
SIAM Journal on Mathematical Analysis. 50:2048-2085
We consider a cantilevered (clamped-free) beam in an axial potential flow. Certain flow velocities may bring about a bounded-response instability in the structure, termed flutter. As a preliminary ...
Publikováno v:
Discrete & Continuous Dynamical Systems - B. 23:1107-1132
It is known that the linear Stokes-Lame system can be stabilized by a boundary feedback in the form of a dissipative velocity matching on the common interface [ 5 ]. Here we consider feedback stabilization for a generalized linear fluid-elasticity in
Publikováno v:
Evolution Equations and Control Theory. 5:533-559
In view of control and stability theory, a recently obtained linearization around a steady state of a fluid-structure interaction is considered. The linearization was performed with respect to an external forcing term and was derived in an earlier pa
Autor:
George Avalos, Daniel Toundykov
Publikováno v:
Evolution Equations and Control Theory. 5:515-531
A seminal result concerning finite element (FEM) approximations of the Stokes equation was the discrete inf-sup inequality that is uniform with respect to the mesh size parameter. This inequality leads to optimal error estimates for the FEM scheme. T
Publikováno v:
Applied Mathematics & Optimization. 76:429-464
This study addresses well-posedness of a Mindlin---Timoshenko (MT) plate model that incorporates nonlinear viscous damping and nonlinear source term in Neumann boundary conditions. The main results verify local and global existence of solutions as we
Publikováno v:
SIAM Journal on Mathematical Analysis. 47:1958-2000
We study the well-posedness of a total linearization, with respect to a perturbation of the external forcing, of a free-boundary nonlinear elasticity--incompressible fluid interaction. The total linearization for the coupling modeled by the Navier--S
Autor:
Matthias Eller, Daniel Toundykov
Publikováno v:
SIAM Journal on Control and Optimization. 53:2480-2513
The exact controllability problem for several semilinear thin plate models is considered. A distributed control affects a collar of the plate's boundary. The result is semiglobal in the sense that there is no restriction on the size of the initial an
Publikováno v:
Journal of Differential Equations. 257:4030-4063
This paper settles a conjecture by Gazzola and Pavani [10] regarding solutions to the fourth order ODE w ( 4 ) + k w ″ + f ( w ) = 0 which arises in models of traveling waves in suspension bridges when k > 0 . Under suitable assumptions on the nonl