Results 31 to 40 of about 14,664 (104)
Abstract Melt migration in partially molten rocks is commonly described by porous flow models controlled by the hydro‐mechanical compaction length, which effectively explains melt extraction at mid‐ocean ridges. However, this framework cannot account for the paradoxical accumulation of small melt fractions into rhythmic leucosome–melanosome bands in ...
Qingpei Sun +3 more
wiley +1 more source
Boundary unique continuation in planar domains by conformal mapping
Abstract Let Ω⊂R2$\Omega \subset \mathbb {R}^2$ be a chord arc domain. We give a simple proof of the the following fact, which is commonly known to be true: a nontrivial harmonic function which vanishes continuously on a relatively open set of the boundary cannot have the norm of the gradient which vanishes on a subset of positive surface measure (arc ...
Stefano Vita
wiley +1 more source
On the topology of conformally compact Einstein 4-manifolds
In this paper we study the topology of conformally compact Einstein 4-manifolds. When the conformal infinity has positive Yamabe invariant and the renormalized volume is also positive we show that the conformally compact Einstein 4-manifold will have at ...
Chang, Alice, Qing, Jie, Yang, Paul
core
On a vector-valued generalisation of viscosity solutions for general PDE systems
We propose a theory of non-differentiable solutions which applies to fully nonlinear PDE systems and extends the theory of viscosity solutions of Crandall-Ishii-Lions to the vectorial case.
Katzourakis, Nikos
core
The Topological State Derivative: An Optimal Control Perspective on Topology Optimisation. [PDF]
Baumann P, Mazari-Fouquer I, Sturm K.
europepmc +1 more source
The Singularity Theorems of General Relativity and Their Low Regularity Extensions. [PDF]
Steinbauer R.
europepmc +1 more source
Dominance analysis of competing protein assembly pathways. [PDF]
Lankeit J, Förste S, Rudorf S.
europepmc +1 more source
Waves in a Stochastic Cell Motility Model. [PDF]
Hamster C, van Heijster P.
europepmc +1 more source
Naked Singularities in the Einstein-Euler System. [PDF]
Guo Y, Hadzic M, Jang J.
europepmc +1 more source
Bayesian inversion of a diffusion model with application to biology. [PDF]
Croix JC, Durrande N, Alvarez MA.
europepmc +1 more source

