Zobrazeno 1 - 10
of 621
pro vyhledávání: '"Jüngel, Ansgar"'
An instationary drift-diffusion system for the electron, hole, and oxygen vacancy densities, coupled to the Poisson equation for the electric potential, is analyzed in a bounded domain with mixed Dirichlet-Neumann boundary conditions. The electron an
Externí odkaz:
http://arxiv.org/abs/2409.01196
Autor:
Taghizadeh, Leila, Jüngel, Ansgar
A rigorous Bayesian formulation of the inverse doping profile problem in infinite dimensions for a stationary linearized unipolar drift-diffusion model for semiconductor devices is given. The goal is to estimate the posterior probability distribution
Externí odkaz:
http://arxiv.org/abs/2408.11485
Autor:
Jüngel, Ansgar, Li, Yue
A spectral-fractional Cahn-Hilliard cross-diffusion system, which describes the pre-patterning of lymphatic vessel morphology in collagen gels, is studied. The model consists of two higher-order quasilinear parabolic equations and describes the evolu
Externí odkaz:
http://arxiv.org/abs/2408.05972
A cross-diffusion system with Lotka-Volterra reaction terms in a bounded domain with no-flux boundary conditions is analyzed. The system is a nonlocal regularization of a generalized Busenberg-Travis model, which describes segregating population spec
Externí odkaz:
http://arxiv.org/abs/2407.01123
We present and analyze a structure-preserving method for the approximation of solutions to nonlinear cross-diffusion systems, which combines a Local Discontinuous Galerkin spatial discretization with the backward Euler time stepping scheme. The propo
Externí odkaz:
http://arxiv.org/abs/2406.17900
A central limit theorem is shown for moderately interacting particles in the whole space. The interaction potential approximates singular attractive or repulsive potentials of sub-Coulomb type. It is proved that the fluctuations become asymptotically
Externí odkaz:
http://arxiv.org/abs/2405.15128
Autor:
Jüngel, Ansgar, Schuh, Katharina
Continuous-time Markov chains associated to finite-volume discretization schemes of Fokker-Planck equations are constructed. Sufficient conditions under which quantitative exponential decay in the $\phi$-entropy and Wasserstein distance are establish
Externí odkaz:
http://arxiv.org/abs/2403.10111
Autor:
Jüngel, Ansgar, Li, Yue
The global-in-time existence of weak solutions to a degenerate Cahn-Hilliard cross-diffusion system with singular potential in a bounded domain with no-flux boundary conditions is proved. The model consists of two coupled parabolic fourth-order parti
Externí odkaz:
http://arxiv.org/abs/2401.05180
Autor:
Jüngel, Ansgar, Wang, Boyi
A fully discrete semi-convex-splitting finite-element scheme with stabilization for a Cahn-Hilliard cross-diffusion system is analyzed. The system consists of parabolic fourth-order equations for the volume fraction of the fiber phase and solute conc
Externí odkaz:
http://arxiv.org/abs/2311.11398
In this note, we connect two different topics from linear algebra and numerical analysis: hypocoercivity of semi-dissipative matrices and strong stability for explicit Runge--Kutta schemes. Linear autonomous ODE systems with a non-coercive matrix are
Externí odkaz:
http://arxiv.org/abs/2310.19758