J M Daniels-Holgate,Or Hershkovits
J M Daniels-Holgate
Suppose ( M t i ) t ∈ [ 0 , T ) , i = 1 , 2 , are two mean curvature flows in R n + 1 encountering a multiplicity one compact singularity at time T, in such a manner that for every k, the Hausdorff distance between the two flow...
Dorian Martino,Katarzyna Mazowiecka,Armin Schikorra
Dorian Martino
For any n ≥ 3 and any closed manifold N with π n + k ( N ) ≠ { 0 } for some k ≥ 0 , we establish the existence of nontrivial n-harmonic maps from S n into N . When k ≥ 1 , these maps naturally appear as...
Mario B Schulz
Mario B Schulz
We prove that round, strictly mean convex toroids of revolution contain infinitely many (geometrically distinct) embedded free boundary minimal Möbius bands as well as infinitely many embedded free boundary minimal annuli. The surfaces in ...
On De Giorgi's conjecture of nonlocal approximations for free-discontinuity problems: The symmetric gradient case [0.03%]
关于自由位错问题的非局部逼近的De Giorgi猜想：对称梯度情况
S Almi,E Davoli,A Kubin et al.
S Almi et al.
We prove that E. De Giorgi's conjecture for the nonlocal approximation of free-discontinuity problems extends to the case of functionals defined in terms of the symmetric gradient of the admissible field. After introducing a suitable class ...
Stefano Almi,Rufat Badal,Manuel Friedrich et al.
Stefano Almi et al.
In this paper, we study the thermo-elastodynamics of nonlinearly viscous solids in the Kelvin-Voigt rheology where both the elastic and the viscous stress tensors comply with the frame-indifference principle. The system features a force bal...
Cale Rankin,Ting-Kam Leonard Wong
Cale Rankin
We modify the JKO scheme, which is a time discretization of the Wasserstein gradient flow, by replacing the Wasserstein distance with more general transport costs on manifolds. We show when the cost function has a mixed Hessian which define...
Parabolic-elliptic and indirect-direct simplifications in chemotaxis systems driven by indirect signalling [0.03%]
由间接信号驱动的化学趋化系统中的抛物椭圆和间接直接简化模型
Le Trong Thanh Bui,Thi Kim Loan Huynh,Bao Quoc Tang et al.
Le Trong Thanh Bui et al.
Singular limits for the following indirect signalling chemotaxis system ∂ t n = Δ n - ∇ · ( n ∇ c ) in Ω × ( 0 , ∞ ) , ε ∂ t c = Δ c - c + w in Ω × ( 0...
Energy identity and no neck property for [Formula: see text] -harmonic and [Formula: see text] -harmonic maps into homogeneous target manifolds [0.03%]
调和同伦及拟调和同伦映射到齐性目标流形的能量恒等式及无颈性质
Carolin Bayer,Andrew M Roberts
Carolin Bayer
In this paper we show the energy identity and the no-neck property for ε - and α -harmonic maps with homogeneous target manifolds. To prove this in the ε -harmonic case we introduce the idea of using an equivariant embedding ...
Philipp Reiser,Francesca Tripaldi
Philipp Reiser
We consider the problem of preserving weighted Riemannian metrics of positive Bakry-Émery Ricci curvature along surgery. We establish two theorems of this type: One for connected sums, and one for surgeries along higher-dimensional spheres...
R L Frank,J Mateu,M G Mora et al.
R L Frank et al.
In this paper we characterise the energy minimisers of a class of nonlocal interaction energies where the attraction is quadratic, and the repulsion is Riesz-like and anisotropic. In particular we show that, if the Fourier transform of the ...