Results 101 to 110 of about 87,021 (190)
ABSTRACT This paper investigates the existence and non‐existence and uniqueness of global solutions for certain parameter values c$c$ in a new class of generalized fractional p$p$‐Kirchhoff equations in the whole space. Using the Pohozaev and Nehari identities for an auxiliary problem, together with the fractional Gagliardo–Nirenberg inequality and the
J. Vanterler da C. Sousa +2 more
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In‐and‐Out: Algorithmic Diffusion for Sampling Convex Bodies
ABSTRACT We present a new random walk for uniformly sampling high‐dimensional convex bodies. It achieves state‐of‐the‐art runtime complexity with stronger guarantees on the output than previously known, namely in Rényi divergence (which implies TV, 𝒲2, KL, χ2$$ {\chi}^2 $$).
Yunbum Kook +2 more
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Gelfand and Kolmogorov numbers of Sobolev embeddings of weighted function spaces II
Shun Zhang, Fang Gensun, F HUANG
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Global weak solutions for the compressible Poisson–Nernst–Planck–Navier–Stokes system
Abstract We consider the compressible Poisson–Nernst–Planck–Navier–Stokes (PNPNS) system of equations, governing the transport of charged particles under the influence of the self‐consistent electrostatic potential, in a three‐dimensional bounded domain.
Daniel Marroquin, Dehua Wang
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Mixed fractional Sobolev spaces and elliptic PDEs with singular integral boundary data [PDF]
Jochen Merker
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Γ-convergence and stochastic homogenization of degenerate integral functionals in weighted Sobolev spaces [PDF]
Chiara D’Onofrio +1 more
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ABSTRACT In this article, we propose a novel numerical framework for the non‐isothermal Cahn–Hilliard–Navier–Stokes two‐phase flow system, which couples the incompressible Navier–Stokes equations, the Cahn–Hilliard phase‐field equation, and the heat transport equation to capture temperature‐dependent two‐phase flow dynamics.
Guang‐An Zou +4 more
wiley +1 more source
Weak immersions with second fundamental form in a critical Sobolev space [PDF]
Dorian Martino, Tristan Rivière
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Ground state solutions for a non-local type problem in fractional Orlicz Sobolev spaces [PDF]
Liben Wang, Xingyong Zhang, Cuiling Liu
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A priori estimates in geometry and Sobolev spaces on open manifolds [PDF]
Jürgen Eichhorn
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