Results 31 to 40 of about 32,096 (302)
Spectral theory for symmetric systems in an exterior domain, II [PDF]
, 1989 Our work is devoted to the investigation of spectral theory for symmetric systems with certain coercive boundary conditions in an exterior domain; we verify the discreteness of non-zero eigenvalues and the principle of limiting ...
Iwashita, Hirokazu
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Diffusive limit of Boltzmann Equation in exterior Domain [PDF]
, 2023 The study of flows over an obstacle is one of the fundamental problems in fluids. In this paper we establish the global validity of the diffusive limit for the Boltzmann equations to the Navier-Stokes-Fourier system in an exterior domain. To overcome the
Jung, Junhwa
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SOLVABILITY OF QUASILINEAR MAXWELL EQUATIONS IN EXTERIOR DOMAINS
Journal of Applied Analysis & Computation, 2023 Summary: In this paper we consider some \(\mathrm{q}\)-curl-curl equations with lack of compactness. Our analysis is developed in the abstract setting of exterior domains. We first recall a decomposition of curl-free space based on \(L^r \)-Helmholtz-Weyl decomposition in exterior domains. Then by reducing the original system into a div-curl system and
Shen, Zifei, Zhang, Shuijin
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The Landis–Oleinik conjecture in the exterior domain
Advances in Mathematics, 2016 In [Russ. Math. Surv. 29, No. 2, 15--212 (1974; Zbl 0305.35014)] \textit{E. M. Landis} and \textit{O. A. Olejnik} proposed the following conjecture: If \(u(x, t)\) is a bounded solution of a uniformly parabolic equation \[ \sum_{i,j=1}^n \partial_i\big(a^{ij}(x)\partial_ju\big)+ b(x)\cdot\nabla u+c(x)u-\partial_t u=0\quad \text{in }\mathbb{R}^n\times[0,
Wu, Jie, Zhang, Liqun
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The decay property of the multidimensional compressible flow in the exterior domain (Mathematical Analysis of Viscous Incompressible Fluid) [PDF]
, 2021 This is a report of the recent work [X. Zhang and Y. Shibata. The Lp-Lq decay estimate for the multidimensional compressible flow with free surface in the exterior domain.
Zhang, Xin
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Harmonic Liouville Theorem for Exterior Domains
Journal of Mathematical Analysis and Applications, 2001 The authors have represented the simple function theoretic proof of a Liouville type theorem for harmonic functions in \(\mathbb{C}\). Moreover this variant of the theorem sligthly generalizes the theorem that has been obtained by F. Cammaroto and A. Chinni.
Nakai, Mitsuru, Tada, Toshimasa
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Mathematics, 2022 In this article, we propose a simplified radial basis function (RBF) method with exterior fictitious sources for solving elliptic boundary value problems (BVPs). Three simplified RBFs, including Gaussian, multiquadric (MQ), and inverse multiquadric (IMQ)
Chih-Yu Liu, Cheng-Yu Ku
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On the twodimensional Steady-State Problem of a Viscous Gas in an Exterior Domain [PDF]
, 1997 For the two dimensional Steady-State Problem of a Viscous Gas in an Exterior Domain it is proved existence of solutions with a given decay rate at ...
PADULA, Mariarosaria, A. NOVOTNY'
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background General pediatricians often evaluate hematologic and oncologic presentations before subspecialty consultation, yet the 2025 Accreditation Council for Graduate Medical Education (ACGME) pediatric requirements reduce inpatient pediatric hematology/oncology (PHO) time, raising questions about resident readiness.
Colburn Yu, Rohini Jain
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Infinity Harmonic Functions over Exterior Domains [PDF]
International Mathematics Research Notices, 2020 Abstract In this paper, we study the infinity harmonic functions with linear growth rate at infinity defined on exterior domains. We show that such functions must be asymptotic to planes or cones at infinity. We also establish the solvability of Dirichlet problems for exterior domains.
Hong, Guanghao, Zhao, Yizhen
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