19 citations · 29 across the 6 of their papers we have counts for
6 papers
Blow up dynamics for the 3D energy-critical Nonlinear Schrödinger equation
Tobias Schmid
We construct a two-parameter continuum of type II blow up solutions for the energy-critical focusing NLS in dimension . The solutions collapse to a single energy bubble in…
Global results for a Cauchy problem related to biharmonic wave maps
Tobias Schmid
We prove global existence of a derivative bi-harmonic wave equation with a non-generic quadratic nonlinearity and small initial data in the scaling critical space $\dot{B}^{2,1}_{\…
Energy bounds for a fourth-order equation in low dimensions related to wave maps
Tobias Schmid
For compact, isometrically embedded Riemannian manifolds , we introduce a fourth-order version of the wave map equation. By energy estimates, we pr…
Biharmonic wave maps: Local wellposedness in high regularity
Sebastian Herr, Tobias Lamm, Tobias Schmid +1
We show the local wellposedness of biharmonic wave maps with initial data of sufficiently high Sobolev regularity and a blow-up criterion in the sup-norm of the gradient of the sol…
Environment-assisted quantum transport and trapping in dimers
Oliver Muelken, Tobias Schmid
We study the dynamics and trapping of excitations for a dimer with an energy off-set coupled to an external environment. Using a Lindblad quantum master equation approach, we c…
Dissipative Dynamics with Trapping in Dimers
Oliver Muelken, Lothar Muehlbacher, Tobias Schmid +1
The trapping of excitations in systems coupled to an environment allows to study the quantum to classical crossover by different means. We show how to combine the phenomenological…