Results 31 to 40 of about 1,372,465 (281)

Density estimates on a parabolic spde [PDF]

, 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.
Márquez-Carreras, D., Mellouk, M., M. Mellouk, Márquez, David (Márquez Carreras), D. Márquez-Carreras   +4 more
core   +1 more source

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

Известия 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

An hp-version discontinuous Galerkin method for integro-differential equations of parabolic type [PDF]

, 2011
We study the numerical solution of a class of parabolic integro-differential equations with weakly singular kernels. We use an $hp$-version discontinuous Galerkin (DG) method for the discretization in time.
Brunner, Hermann, Schoetzau, D, Mustapha, Kassem, Mustapha, Hussein   +3 more
core   +3 more sources

Propagating parabolic rotational beams, new family of accelerated beams [PDF]

EPJ Web of Conferences
A novel class of structured propagating waves with parabolic rotational symmetry is introduced for the first time. These are described by exact solutions of the non-paraxial Helmholtz equation.
Espíndola-Ramos Ernesto, Gómez-Correa Jesús Emmanuel, Hernández-Nolasco José Adán, Chávez-Cerda Sabino   +3 more
doaj   +1 more source

On the second-order regularity of solutions to the parabolic p-Laplace equation [PDF]

, 2022
In this paper, we study the second-order Sobolev regularity of solutions to the parabolic p-Laplace equation. For any p-parabolic function u, we show that D(|Du|p−2+s2Du) exists as a function and belongs to L2loc with s>−1 and 1<p><∞.
Parviainen, Mikko, Feng, Yawen, Sarsa, Saara, Yawen, Feng, Yawen Feng, Saara Sarsa, Mikko Parviainen   +6 more
core   +1 more source

Degenerate parabolic equations appearing in atmospheric dispersion of pollutants

Electronic Journal of Qualitative Theory of Differential Equations, 2016
Linear and nonlinear degenerate abstract parabolic equations with variable coefficients are studied. Here the equation and boundary conditions are degenerated on all boundary and contain some parameters.
Veli Shakhmurov, Aida Sahmurova
doaj   +1 more source

Fast and Accurate Seismic Computations in Laterally Varying Environments

IEEE Access, 2021
The parabolic equation method provides an unrivaled combination of computational efficiency and accuracy for wave propagation problems in the geosciences in which the environment has strong vertical variations and gradual horizontal variations.
Michael D. Collins, Joseph F. Lingevitch, David C. Calvo   +2 more
doaj   +1 more source

Microstructure Modification of Additively Manufactured Mo–9Si–8B by Annealing and Its Effects on High‐Temperature Mechanical Properties

Advanced Engineering Materials, EarlyView.
Postbuild annealing systematically modifies the phase fractions and morphology of EB‐PBF processed Mo–9Si–8B. Quantitative microstructure–property correlations reveal how controlled phase evolution enhances high‐temperature compressive strength and creep resistance.
Christopher Schmidt, Yong Chen, Georg Hasemann, Benjamin Wahlmann, Carolin Körner, Manja Krüger   +5 more
wiley   +1 more source

Optical soliton perturbation in parabolic law medium having weak non-local nonlinearity by a couple of strategic integration architectures

Results in Physics, 2019
In this paper, the governing model with the inclusion of parabolic law nonlinearity, weakly non-local nonlinearity in addition to perturbation terms is examined for the sake of uncovering quite important optical soliton solutions.
Anjan Biswas, Yakup Yıldırım, Emrullah Yaşar, Qin Zhou, Ali Saleh Alshomrani, Milivoj Belic   +5 more
doaj   +1 more source

Trudinger's parabolic equation

Discrete and Continuous Dynamical Systems
We study the uniqueness of non-negative solutions of the equation \begin{align*} \partial_t\left(|u|^{p-2}u\right)\,=\, \operatorname{div}(|\nabla u|^{p-2}\nabla u). \end{align*} Basic estimates are derived with the Galerkin Method.
Lindqvist, Peter, Parviainen, Mikko, Sarsa, Saara   +2 more
openaire   +2 more sources