Results 1 to 10 of about 34,900 (279)

Generators with interior degeneracy on spaces of L^2 type

open access: yesElectronic Journal of Differential Equations, 2012
We consider operators in divergence and in nondivergence form with degeneracy at the interior of the space domain. Characterizing the domain of the operators, we prove that they generate positive analytic semigroups on spaces of L^2 type.
Genni Fragnelli   +3 more
doaj  

Speeds of Propagation in Classical and Relativistic Extended Thermodynamics

open access: yesLiving Reviews in Relativity, 1999
The Navier-Stokes-Fourier theory of viscous, heat-conducting fluids provides parabolic equations and thus predicts infinite pulse speeds. Naturally this feature has disqualified the theory for relativistic thermodynamics which must insist on finite ...
Müller Ingo
doaj  

Continuous dependence estimate for a degenerate parabolic-hyperbolic equation with Levy noise

open access: yes, 2016
In this article, we are concerned with a multidimensional degenerate parabolic-hyperbolic equation driven by Levy processes. Using bounded variation (BV) estimates for vanishing viscosity approximations, we derive an explicit continuous dependence ...
Koley, Ujjwal   +2 more
core  

Decay of solutions of a degenerate hyperbolic equation

open access: yesElectronic Journal of Differential Equations, 1998
The paper deals with the asymptotic analysis of solutions to the initial value problem for the damped nonlinear wave equation \[ \ddot u+\gamma\dot u-m\bigl(\|\nabla u\|^2_2\bigr)\Delta u=f(x,t),\quad x\in\Omega,\;t\geq 0, \] in the degenerate case, i.e. when the greatest lower bound of \(m\) is zero.
openaire   +2 more sources

Analysis on Stochastic Anisotropic Degenerate Parabolic-Hyperbolic Mixed-Type Equations

open access: yes, 2017
This dissertation consists chiefly of three parts, which tell different facets in the development of one topic. The first part is an exploration of continuous dependence estimates of stochastically driven degenerate parabolic equations. The second is an extension of work done by Debussche and Vovelle on first order stochastic conservation laws - we ...
openaire   +1 more source

Analytical evaluations using neural network-based method for wave solutions of combined Kairat-II-X differential equation in fluid mechanics. [PDF]

open access: yesSci Rep
Zhou P   +8 more
europepmc   +1 more source

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