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Fast computation of optimal contact forces
Calculation of point-contact friction model power optimization problem semidefinite programming
2015/8/10
We consider the problem of computing the smallest contact forces, with point-contact friction model, that can hold an object in equilibrium against a known external applied force and torque. It is kno...
A fast solver for the Stokes equations with distributed forces in complex geometries
Stokes equations Fast solvers Integral equations Double-layer potential Fast multipole methods Embedded domain methods Immersed interface methods Fictitious domain methods Cartesian grid methods Moving boundaries
2015/7/14
We present a new method for the solution of the Stokes equations. The main features of our method are: (1) it can be applied to arbitrary geometries in a black-box fashion; (2) it is second-order accu...
Singular parabolic p-Laplacian systems under non-smooth external forces. Regularity up to the boundary
Initial-boundary value problems p-Laplacian parabolic singular systems regularity up to the boundary
2012/6/30
We study the regularity of the solutions to initial-boundary value problems for N-systems of the p-Laplacian type, in $n\geq 3$ space variables, with square-integrable external forces in the space-tim...
Particles approximations of Vlasov equations with singular forces : Part. 2
Derivation of kinetic equations Particle methods Vlasov equation Propagation of chaos
2011/9/15
Abstract: We prove propagation of chaos for a system of particles interacting with a singular interaction force of the type $1/|x|^\alpha$, with $\alpha <1$ in dimension $d \geq 3$. We also recover th...
Ratchet effect on a relativistic particle driven by external forces
Ratchet effect relativistic particle driven
2011/7/6
We study the ratchet effect of a damped relativistic particle driven by both asymmetric temporal bi-harmonic and time-periodic piecewise constant forces. This system can be formally solved for any ex...
Blowup for the Euler and Euler-Poisson Equations with Repulsive Forces II
Blowup Euler and Euler-Poisson Equations Repulsive Forces II
2011/2/25
In this paper, we continue to study the blowup problem of the N-dimensional compressible
Euler or Euler-Poisson equations with repulsive forces, in radial symmetry. In details, we
extend the recent ...
Absence of magnetism in continuous-spin systems with long-range antialigning forces
magnetism continuous-spin systems long-range antialigning forces
2010/11/12
We consider continuous-spin models on the $d$-dimensional hypercubic lattice with the spins $\sigma_x$ \emph{a priori} uniformly distributed over the unit sphere in $\R^n$ (with $n\ge2$) and the inter...
Stochastic Mean-Field Limit: Non-Lipschitz Forces \& Swarming
Mean-field limit diffusion Cucker-Smale collective behavior
2010/12/13
We consider general stochastic systems of interacting particles with noise which are relevant as models for the collective behavior of animals, and rigorously prove that in the mean-field limit the sy...
Mechanical Lagrangian systems with external forces
mechanical systems semisprays external forces stability
2009/2/26
We consider mechanical Lagrangian systems with external
forces that depend also on velocity. The geometrical model is given by
a special semispray S. We show that when the system is dissipative the
...
Mechanical Lagrangian systems with external forces
mechanical systems semisprays external forces stability
2009/1/7
We consider mechanical Lagrangian systems with external
forces that depend also on velocity. The geometrical model is given by
a special semispray S. We show that when the system is dissipative the
...