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 ...
Best constants in subelliptic fractional Sobolev and Gagliardo-Nirenberg inequalities and ground states on stratified Lie groups [0.03%]
-stratified lie群上的亚椭圆分数阶sobolev和gagliardo-nirenberg不等式的最佳常数及基态
Sekhar Ghosh,Vishvesh Kumar,Michael Ruzhansky
Sekhar Ghosh
In this paper, we establish the sharp fractional subelliptic Sobolev inequalities and Gagliardo-Nirenberg inequalities on stratified Lie groups. The best constants are given in terms of a ground state solution of a fractional subelliptic eq...
Long-time behaviour and bifurcation analysis of a two-species aggregation-diffusion system on the torus [0.03%]
环上两类群扩散系统的长时间行为及分岔分析
José A Carrillo,Yurij Salmaniw
José A Carrillo
We investigate stationary states, including their existence and stability, in a class of nonlocal aggregation-diffusion equations with linear diffusion and symmetric nonlocal interactions. For the scalar case, we extend previous results by ...
Variational structures for the Fokker-Planck equation with general Dirichlet boundary conditions [0.03%]
具有通用狄利克雷边界条件的福克普朗克方程的变分结构
Filippo Quattrocchi
Filippo Quattrocchi
We prove the convergence of a modified Jordan-Kinderlehrer-Otto scheme to a solution to the Fokker-Planck equation in Ω ⋐ R d with general-strictly positive and temporally constant-Dirichlet boundary conditions. We work under m...
Aris Daniilidis,Trí Minh Lê,Francisco M Venegas
Aris Daniilidis
The notion of quasi-metric space arises by revoking the symmetry from the definition of a distance. Semi-Lipschitz functions appear naturally as morphisms associated with the new structure. In this work, under suitable assumptions on the qu...