R. Ignat

activity

20172026

RP^{d - 1}

-valued maps in

B V

and applications to uniaxial

Q

-tensors. With an appendix on an intrinsic

B V

-energy for manifold-valued maps

5 citations · 9 across the 14 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

math.AP2017

The magnetization ripple: a nonlocal stochastic PDE perspective

Radu Ignat, Felix Otto

The magnetization ripple is a microstructure formed by the magnetization in a thin-film ferromagnet. It is triggered by the random orientation of the grains in the poly-crystalline…

math.FA2017★ 5 cited

Lifting of $RP^{d - 1}$ -valued maps in $B V$ and applications to uniaxial $Q$ -tensors. With an appendix on an intrinsic $B V$ -energy for manifold-valued maps

Radu Ignat, Xavier Lamy

We prove that a $B V$ map with values into the projective space $RP^{d - 1}$ has a $B V$ lifting with values into the unit sphere $S^{d - 1}$ that satisfies an optimal $…

math.AP2017

Interaction energy between vortices of vector fields on Riemannian surfaces

Radu Ignat, Robert L. Jerrard

We study a variational Ginzburg-Landau type model depending on a small parameter $ε > 0$ for (tangent) vector fields on a $2$ -dimensional Riemannian surface. As $ε \to 0$ , the vector…

The magnetization ripple: a nonlocal stochastic PDE perspective

Lifting of RPd−1-valued maps in BV and applications to uniaxial Q-tensors. With an appendix on an intrinsic BV-energy for manifold-valued maps

Interaction energy between vortices of vector fields on Riemannian surfaces

Lifting of $RP^{d - 1}$ -valued maps in $B V$ and applications to uniaxial $Q$ -tensors. With an appendix on an intrinsic $B V$ -energy for manifold-valued maps