Results 11 to 20 of about 1,917 (133)
Oblique Injection of Incompressible Ideal Fluid from a Slot into a Free Stream [PDF]
SIAM Journal on Mathematical Analysis, 2020 This paper deals with a two-phase fluid free boundary problem in a slotfilm cooling. We give two well-posedness results on the existence and uniqueness of the incompressible inviscid two-phase fluid with a jump relation on free interface.
Jianfeng Cheng, Lili Du
semanticscholar +1 more source
LOCALIZATION FOR THE TORSION FUNCTION AND THE STRONG HARDY INEQUALITY
Mathematika, Volume 67, Issue 2, Page 514-531, April 2021., 2021 Abstract Two‐sided bounds for the efficiency of the torsion function are obtained in terms of the square of the distance to the boundary function under the hypothesis that the Dirichlet Laplacian satisfies a strong Hardy inequality. Localization properties of the torsion function are obtained under that hypothesis. An example is analyzed in detail.
M. van den Berg, T. Kappeler
wiley +1 more source
Sign changing solutions of Poisson's equation
Proceedings of the London Mathematical Society, Volume 121, Issue 3, Page 513-536, September 2020., 2020 Abstract Let Ω be an open, possibly unbounded, set in Euclidean space Rm with boundary ∂Ω, let A be a measurable subset of Ω with measure |A| and let γ∈(0,1). We investigate whether the solution vΩ,A,γ of −Δv=γ1Ω∖A−(1−γ)1A with v=0 on ∂Ω changes sign. Bounds are obtained for |A| in terms of geometric characteristics of Ω (bottom of the spectrum of the ...
M. van den Berg, D. Bucur
wiley +1 more source
IDENTIFICATION OF BURST PARAMETERS USING NUMERICAL QUASICONFORMAL MAPPING METHODS
, 2020 The complex analysis methodology (method and corresponding algorithm) for solving the problems of applied quasipotential tomography developed by us, and which assumes (for each of the respective injections) the presence of only equipotential lines (with ...
A. Bomba, M. Boichura
semanticscholar +1 more source
, 2020 The paper focuses on the mathematical and numerical modelling of the thermoelasticity problem in the three-dimensional region. The governing equations of the mathematical model are a set of equilibrium equations.
E. Wegrzyn-Skrzypczak
semanticscholar +1 more source
MATHEMATICAL MODELLING OF SOIL MASSIF'S DEFORMATIONS UNDER ITS DRAINAGE
International Journal of Apllied Mathematics, 2019 Mathematical models in the assessment of water saturated soil massifs’ deformations under their drainage have been developed and substantiated. An algorithm for the construction of hydrodynamic networks has been developed and the transformation of ...
M. Kuzlo, V. S. Moshynskyi, P. Martyniuk
semanticscholar +1 more source
On a Generalization of Szemerédi's Theorem [PDF]
, 2005 Let N be a natural number and A ⊂ [1, …, N]2 be a set of cardinality at least N2/(loglogN)c is an absolute constant. We prove that A contains a triple {(k, m), (k+d, m), (k, m+d)}, where d > 0.
I. Shkredov
semanticscholar +1 more source
The Dirichlet Problem for elliptic equations in unbounded domains of the plane
Journal of Function Spaces, Volume 6, Issue 1, Page 47-58, 2008., 2008 In this paper we prove a uniqueness and existence theorem for the Dirichlet problem in W2,p for second order linear elliptic equations in unbounded domains of the plane. Here the leading coefficients are locally of class VMO and satisfy a suitable condition at infinity.
Paola Cavaliere +2 more
wiley +1 more source
Strictly positive solutions for one-dimensional nonlinear problems involving the p-Laplacian [PDF]
, 2013 Let $\Omega$ be a bounded open interval, and let $p>1$ and $q\in\left(0,p-1\right) $. Let $m\in L^{p^{\prime}}\left(\Omega\right) $ and $0\leq c\in L^{\infty}\left(\Omega\right) $.
Kaufmann, Uriel, Medri, Ivan
core +2 more sources
EXISTENCE OF MULTIPLE POSITIVE RADIAL SOLUTIONS TO ELLIPTIC EQUATIONS IN AN ANNULUS
Communications in Applied Analysis, 2018 In this paper, we use Leggett-Williams multiple fixed point theorems to obtain sufficient conditions for the existence of at least one or two positive radial solutions of the equation −∆u = λg(|x|)f(u), R1 < |x| < R2, x ∈ RN , N ≥ 2 subject to a linear ...
Jaffar Ali, S. Padhi
semanticscholar +1 more source