Results 61 to 70 of about 1,025 (192)
Journal of Geophysical Research: Solid Earth, Volume 131, Issue 5, May 2026.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
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Corrugated Surfaces with Slow Modulation and Quasiclassical Weierstrass Representation [PDF]
Journal of Nonlinear Mathematical Physics, 2008 Quasiclassical generalized Weierstrass representation for highly corrugated surfaces with slow modulation in the three-dimensional space is proposed. Integrable deformations of such surfaces are described by the dispersionless Veselov-Novikov hierarchy.
openaire +4 more sources
Wild conductor exponents of curves
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract We give an explicit formula for wild conductor exponents of plane curves over Qp$\mathbb {Q}_p$ in terms of standard invariants of explicit extensions of Qp$\mathbb {Q}_p$, generalising a formula for hyperelliptic curves. To do so, we prove a general result relating the wild conductor exponent of a simply branched cover of the projective line ...
Harry Spencer
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, 2017 We study two parameters families of Bour-type and Enneper-type minimal surfaces using the Weierstrass representation in the four dimensional Euclidean space.
Erhan Güler +3 more
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The universal family of punctured Riemann surfaces is Stein
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract We show that the universal Teichmüller family V(g,n)$V(g,n)$ of compact Riemann surfaces of genus g⩾0$g\geqslant 0$ with n>0$n>0$ punctures is a Stein manifold. We describe its basic function‐theoretic properties and pose some challenging questions. We show, in particular, that the space of fibrewise algebraic functions on the universal family
Franc Forstnerič
wiley +1 more source
Counting 5‐isogenies of elliptic curves over Q$\mathbb {Q}$
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract We show that the number of 5‐isogenies of elliptic curves defined over Q$\mathbb {Q}$ with naive height bounded by H>0$H > 0$ is asymptotic to C5·H1/6(logH)2$C_5\cdot H^{1/6} (\log H)^2$ for some explicitly computable constant C5>0$C_5 > 0$. This settles the asymptotic count of rational points on the genus zero modular curves X0(m)$\mathcal {X}
Santiago Arango‐Piñeros +3 more
wiley +1 more source
Random Diophantine equations in the primes II
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract Let d⩾2$d\geqslant 2$ and n⩾d$n\geqslant d$ with (d,n)∉{(2,2),(3,3)}$(d,n)\notin \lbrace (2,2),(3,3)\rbrace$. We consider homogeneous Diophantine equations of degree d$d$ in n+1$n+1$ variables and whether they have solutions in the primes.
Philippa Holdridge
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CAAI Transactions on Intelligence Technology, Volume 11, Issue 2, Page 498-513, April 2026.ABSTRACT A formation inversion algorithm with real‐time performance and accuracy is crucial for natural gamma logging while drilling (LWD). However, traditional inversion algorithms are often limited by high computational resource consumption and insufficient accuracy.
Juntao Liu +4 more
wiley +1 more source
The Weierstrass representation always gives a minimal surface
, 2017 We give a simple, direct proof of the easy fact about the Weierstrass Representation, namely, that it always gives a minimal surface. Most presentations include the much harder converse that every simply connected minimal surface is given by the ...
Sharma, Roshan
core
Generalized Weierstrass representation of surfaces in R-4
, 2007 In the present paper, we describe the conformal immersion of the surface into R-4 by means of a linear system. Furthermore we prove that every regular conformal immersion of a surface into R-4 is locally determined by the generalized Weierstrass formulae.
Chen, Weihuan +3 more
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