Solving linear parabolic rough partial differential equations [PDF]
, 2018 We study linear rough partial differential equations in the setting of [Friz and Hairer, Springer, 2014, Chapter 12]. More precisely, we consider a linear parabolic partial differential equation driven by a deterministic rough path $\mathbf{W}$ of H ...
Bayer, Christian +4 more
core +3 more sources
Nanotechnology Reviews, 2022 The mathematical modeling of hybrid nanofluid flow and heat transfer with entropy generation toward parabolic trough surface collector (PTSC) inside the solar-powered ship (SPS) is performed.
Shahzad Faisal +10 more
doaj +1 more source
Higher-order elliptic and parabolic equations with VMO assumptions and general boundary conditions [PDF]
, 2017 We prove mixed $L_{p}(L_{q})$-estimates, with $p,q\in(1,\infty)$, for higher-order elliptic and parabolic equations on the half space $\R^{d+1}_{+}$ with general boundary conditions which satisfy the Lopatinskii--Shapiro condition.
Hongjie Dong, C. Gallarati
semanticscholar +1 more source
Thermoelasticity and generalized thermoelasticity viewed as wave hierarchies [PDF]
, 2008 It is seen how to write the standard\^E form of the four partial differential equations in four unknowns of anisotropic thermoelasticity as a single equation in one variable, in terms of isothermal and isentropic wave operators.
Scott, N.H
core +2 more sources
Method of lines transpose: High order L-stable O(N) schemes for parabolic equations using successive convolution [PDF]
, 2016 We present a new solver for nonlinear parabolic problems that is L-stable and achieves high order accuracy in space and time. The solver is built by first constructing a single-dimensional heat equation solver that uses fast O(N) convolution.
Causley, Matthew F. +3 more
core +3 more sources
Results in Physics, 2017 The present analysis is made to envision the characteristics of thermal and solutal stratification on magneto-hydrodynamic mixed convection boundary layer stagnation point flow of non-Newtonian fluid by way of an inclined cylindrical stretching surface ...
Khalil-Ur-Rehman +4 more
doaj +1 more source
High-order conservative reconstruction schemes for finite volume methods in cylindrical and spherical coordinates [PDF]
, 2014 High-order reconstruction schemes for the solution of hyperbolic conservation laws in orthogonal curvilinear coordinates are revised in the finite volume approach. The formulation employs a piecewise polynomial approximation to the zone-average values to
Mignone, A.
core +2 more sources
Higher order nonlinear degenerate parabolic equations
Journal of Differential Equations, 1990 The paper deals with a few existence and positivity results for higher order, possibly degenerate, nonlinear parabolic equations. The equations under investigation are of the type \[ \frac{du}{dt}+\frac{\partial}{\partial \kappa}(f(u)\frac{\partial^{2m+1}u}{\partial \kappa^{2m+1}})=0 \] where \(f(u)=| u|^ m\) \(f_ 0(u)\) with \(n\geq 1\) and \(f_ 0(u ...
Bernis, Francisco, Friedman, Avner
openaire +2 more sources
Elliptic operators and maximal regularity on periodic little-H\"older spaces
, 2011 We consider one-dimensional inhomogeneous parabolic equations with higher-order elliptic differential operators subject to periodic boundary conditions.
LeCrone, Jeremy
core +1 more source
A Quasi-3D Polynomial Shear and Normal Deformation Theory for Laminated Composite, Sandwich, and Functionally Graded Beams [PDF]
Mechanics of Advanced Composite Structures, 2017 Bending analyses of isotropic, functionally graded, laminated composite, and sandwich beams are carried out using a quasi-3D polynomial shear and normal deformation theory.
Bharti Shinde, Atteshamuddin Sayyad
doaj +1 more source