Results 21 to 30 of about 234,656 (222)

Higher-order parabolic equations with VMO assumptions and general boundary conditions with variable leading coefficients [PDF]

, 2017
We prove weighted mixed $L_{p}(L_{q})$-estimates, with $p,q\in(1,\infty)$, for higher-order elliptic and parabolic equations on the half space $\mathbb{R}^{d+1}_{+}$ and on domains with general boundary conditions which satisfy the Lopatinskii--Shapiro ...
Hongjie Dong, C. Gallarati
semanticscholar   +1 more source

Computational analysis of melting radiative heat transfer for solar Riga trough collectors of Jeffrey hybrid-nanofluid flow: A new stochastic approach

Case Studies in Thermal Engineering, 2023
Current investigation deals with the melting heat transfer for the Jeffrey hybrid-nanofluid flow in parabolic trough solar collectors through Darcy Forchheimer porous media over a variable thick vertical elongation Riga surface under the effect of solar ...
Bhupendra K. Sharma, Anup Kumar, Nidhish K. Mishra, Ibrahim Albaijan, Unai Fernandez-Gamiz   +4 more
doaj   +1 more source

Computational analysis of radiative heat transfer due to rotating tube in parabolic trough solar collectors with Darcy Forchheimer porous medium

Case Studies in Thermal Engineering, 2023
This attempt numerically investigates the heat transfer in parabolic trough solar collectors due to the rotating tube for the hybrid nanofluid flow over the Riga surface with Darcy Forchheimer’s porous medium under the effect of solar radiation.
B.K. Sharma, Anup Kumar, Bandar Almohsen, Unai Fernandez-Gamiz   +3 more
doaj   +1 more source

Higher order parabolic boundary Harnack inequality in C1 and Ck, α domains

Discrete and Continuous Dynamical Systems. Series A, 2022
We study the boundary behaviour of solutions to second order parabolic linear equations in moving domains. Our main result is a higher order boundary Harnack inequality in C1 and Ck, α domains, providing that the quotient of two solutions vanishing on ...
Teo Kukuljan
semanticscholar   +1 more source

On regularity of a boundary point for higher-order parabolic equations: towards Petrovskii-type criterion by blow-up approach [PDF]

, 2009
The classic problem of regularity of boundary points for higher-order partial differential equations (PDEs) is concerned. For second-order elliptic and parabolic equations, this study was completed by Wiener’s (J. Math. Phys. Mass. Inst. Tech. 3:127–146,
V. Galaktionov
semanticscholar   +1 more source

Parabolicity of a Class of Higher-Order Abstract Differential Equations [PDF]

Proceedings of the American Mathematical Society, 1994
Summary: Let \(E\) be a complex Banach space, \(c_ i\in \mathbb{C}\) \((1\leq i\leq n- 1)\), and \(A\) be a nonnegative operator in \(E\). We discuss the parabolicity of the higher-order abstract differential equations \[ u^{(n)}(t)+ \sum^{n- 1}_{i= 1} c_ i A^{k_ i} u^{(n- i)}(t)+ Au(t)= 0\leqno{(*)} \] and some perturbation cases of \((*)\).
Xio, Tijun, Liang, Jin
openaire   +3 more sources

Higher order Schauder estimates for degenerate or singular parabolic equations [PDF]

Revista matemática iberoamericana
In this paper, we complete the analysis initiated in [Calc. Var. Partial Differential Equations 63 (2024), article no. 204] establishing some higher order C^{k+2,\alpha} Schauder estimates ( k \in \mathbb{N} ) for a class of parabolic ...
A. Audrito, Gabriele Fioravanti, Stefano Vita   +2 more
semanticscholar   +1 more source

Higher-order boundary regularity estimates for nonlocal parabolic equations [PDF]

Calculus of Variations and Partial Differential Equations, 2017
We establish sharp higher-order Hölder regularity estimates up to the boundary for solutions to equations of the form $$\partial _tu-Lu=f(t,x)$$∂tu-Lu=f(t,x) in $$I\times \Omega $$I×Ω where $$I\subset \mathbb {R}$$I⊂R, $$\Omega \subset \mathbb {R}^n$$Ω ...
Xavier Ros-Oton, H. Vivas
semanticscholar   +2 more sources

Rough surface backscatter and statistics via extended parabolic integral equation [PDF]

, 2015
This paper extends the parabolic integral equation method, which is very effective for forward scattering from rough surfaces, to include backscatter.
Spivack, Mark, Spivack, Orsola Rath
core   +1 more source

Pointwise two-scale expansion for parabolic equations with random coefficients [PDF]

, 2015
We investigate the first-order correction in the homogenization of linear parabolic equations with random coefficients. In dimension $3$ and higher and for coefficients having a finite range of dependence, we prove a pointwise version of the two-scale ...
Gu, Yu, Mourrat, Jean-Christophe
core   +3 more sources