J. Lankeit

activity

20122025

most citedBoundedness in a chemotaxis-haptotaxis model with nonlinear diffusion

138 citations · 518 across the 49 of their papers we have counts for

collaborators

Showing 2014Show all

4 papers · 1 filter

math.CA2014★ 53 cited

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\,\|{\…

math.AP2014

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 $u_{t} = Δ u - \nabla \cdot (u \nabla v) + κ u - μ u^{2}$ $v_{t} = Δ v - v + u$ under homogeneous Neumann boundary conditions in…

math.AP2014

Chemotaxis can prevent thresholds on population density

Johannes Lankeit

We define and (for $q > n$ ) prove uniqueness and an extensibility property of $W^{1, q}$ -solutions to $u_{t} = - \nabla \cdot (u \nabla v) + κ u - μ u^{2}$ $0 = Δ v - v + u$ $\partial_νv|_{\partialΩ} = \…

math.CA2014

The exponentiated Hencky-logarithmic strain energy. Part I: Constitutive issues and rank-one convexity

Patrizio Neff, Ionel-Dumitrel Ghiba, Johannes Lankeit

We investigate 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…