Results 21 to 30 of about 30,499 (304)

Density estimates on a parabolic spde [PDF]

open access: yes, 2002
We consider a general class of parabolic spde's [formula] with (t, x) [member of] [0, T]×[0, 1] and [epsilon]Wt,x, [epsilon] > 0, a perturbed Gaussian space-time white noise. For (t, x) [member of] (0, T]×(0, 1) we prove the called Davies and Varadhan-
Márquez-Carreras, D.   +4 more
core   +2 more sources

Solvability and completeness of solutions of parabolic differential-operator equations [PDF]

open access: yesМатематичні Студії, 2011
We consider an abstract Cauchy problem for parabolic differential-operator equations in Hilbert spaces. Initial boundary value problems for parabolic equations are reduced to the Cauchy problem for a system of parabolic differential equations.
M. M. Mamedov
doaj  

ON APPLYING THE CONTINUOUS OPERATOR METHOD TO SOLVE THE DIRECT PROBLEM FOR NONLINEAR PARABOLIC EQUATIONS

open access: yesИзвестия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020
Background. Parabolic differential equations of mathematical physics play very important role in mathematical modeling of the wide range of phenomena in physical and technical sciences.
I. V. Boykov, V. A. Ryazantsev
doaj   +1 more source

Metric Based Upscaling for Partial Differential Equations with a Continuum of Scales [PDF]

open access: yes, 2007
Numerical upscaling of problems with multiple scale structures have attracted increasing attention in recent years. In particular, problems with non-separable scales pose a great challenge to mathematical analysis and simulation.
Zhang, Lei
core   +1 more source

Hypothesis on the Solvability of Parabolic Equations with nonlocal Condition

open access: yesNonlinear Analysis, 2002
Numerous and different nonlocal conditions for the solvability of parabolic equations were researched in many articles and reports. The article presented analyzes such conditions imposed, and observes that the existence and uniqueness of the solution of ...
Mifodijus Sapagovas
doaj   +1 more source

Averaging for Fundamental Solutions of Parabolic Equations. [PDF]

open access: yes, 1997
Herein, an averaging theory for the solutions to Cauchy initial value problems of arbitrary order,ε-dependent parabolic partial differential equations is developed. Indeed, by directly developing bounds between the derivatives of the fundamental solution
Kouritzin, Michael
core   +1 more source

Qualitative analysis of solutions of parabolic type equations with nonlocal boundary conditions

open access: yesLietuvos Matematikos Rinkinys, 2010
The aim of the work is qualitative analysis of solutions of parabolic equations, non–negativity of solutions, investigation and modelling of physical parameters. All tasks were modelled using numerical analysis methods. Differential equations were solved
Jurij Novickij, Feliksas Ivanauskas
doaj   +1 more source

The Maximal Regularity of Nonlocal Parabolic Monge–Ampère Equations and Its Monotonicity in the Whole Space

open access: yesAxioms
The Monge–Ampère operator, as a nonlinear operator embedded in parabolic differential equations, complicates the demonstration of maximal regularity for these equations.
Xingyu Liu
doaj   +1 more source

Attractors for a class of semi-linear degenerate parabolic equations [PDF]

open access: yes, 2013
We consider degenerate parabolic equations of the form ∂tu = Δλu + f(u) u|∂Ω = 0, u|t=0 = u0 in a bounded domain Ω ⊂N, where Δλ is a subelliptic operator of the type (Formula presented.) We prove global existence of solutions and characterize their ...
Sonner, Stefanie   +6 more
core   +1 more source

Characterization of Aluminized Layers on Inconel‐738 Alloy: Microstructure, Modeling of Aluminizing Kinetics, and Thermal Behavior

open access: yesAdvanced Engineering Materials, EarlyView.
This study explored how effective nickel aluminide coatings are obtained in providing oxidation resistance applied to the Inconel 738 alloy, modeling with diffusion models. In the present study, kinetics and thermal behavior of the Inconel 738 alloy were studied by the low‐temperature thermoreactive aluminizing process, which was carried out at 625°C ...
Gozde Celebi Efe   +4 more
wiley   +1 more source

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