53 citations · 60 across the 6 of their papers we have counts for
6 papers
Analysis of a space-time phase-field fracture complementarity model and its optimal control formulation
Denis Khimin, Johannes Lankeit, Marc C. Steinbach +1
The purpose of this work is the formulation of optimality conditions for phase-field optimal control problems. The forward problem is first stated as an abstract nonlinear optimiza…
How far does small chemotactic interaction perturb the Fisher-KPP dynamics?
Johannes Lankeit, Masaaki Mizukami
This paper deals with nonnegative solutions of the Neumann initial-boundary value problem for the fully parabolic chemotaxis-growth system $=Δu_{\varepsilon}…
Global existence, boundedness and stabilization in a high-dimensional chemotaxis system with consumption
Johannes Lankeit, Yulan Wang
This paper deals with the homogeneous Neumann boundary-value problem for the chemotaxis-consumption system \begin{eqnarray*} \begin{array}{llc} u_t=Δu-χ\nabla\cdot (u\nabla v)+κu-μ…
Locally bounded global solutions to a chemotaxis consumption model with singular sensitivity and nonlinear diffusion
Johannes Lankeit
We show the existence of locally bounded global solutions to the chemotaxis system \[ u_t = \nabla\cdot(D(u)\nabla u) - \nabla\cdot(\frac{u}{v} \nabla v) \] \[ v_t = Δv - uv \] wit…
The exponentiated Hencky-logarithmic strain energy. Part II: Coercivity, planar polyconvexity and existence of minimizers
Patrizio Neff, Johannes Lankeit, Ionel-Dumitrel Ghiba +2
We consider a family of isotropic volumetric-isochoric decoupled strain energies $$ F\mapsto W_{\rm eH}(F):=\widehat{W}_{\rm eH}(U):=\left\{\begin{array}{lll} \fracμ{k}\,e^{k\,\|{\…
Eventual smoothness and asymptotics in a three-dimensional chemotaxis system with logistic source
Johannes Lankeit
We prove existence of global weak solutions to the chemotaxis system under homogeneous Neumann boundary conditions in…