Results 31 to 40 of about 1,364,487 (206)

Filtration in cohesive soils: numerical approach

Computer Assisted Methods in Engineering and Science, 2023
Paper presents a numerical method for solving the initial boundary-value problem for a certain quasilinear parabolic equation describing the low velocity filtration problem. The convergence of the method is proved.
Robert Schaefer, Stanislaw Sędziwy
doaj  

Smooth Solutions of systems of quasilinear parabolic equations [PDF]

ESAIM: Control, Optimisation and Calculus of Variations, 2002
Diagonal quasilinear parabolic systems arising in the context of stochastic differential games are considered: \[ \partial_t u^k- (a_{ij}(x,t)u^k_{x_j})_{x_i} = H^k(x,t,u,\nabla u) , \] where the Hamiltonians \(H^k\) have quadratic growth in \(\nabla u\). Uniform ellipticity of \(a_{ij}\) and special structure conditions \[ | H^k(x,t,u,p)| \leq C | p^k|
Bensoussan, Alain, Frehse, Jens
openaire   +2 more sources

On the weak solution of a three-point boundary value problem for a class of parabolic equations with energy specification

Abstract and Applied Analysis, 2003
This paper deals with weak solution in weighted Sobolev spaces, of three-point boundary value problems which combine Dirichlet and integral conditions, for linear and quasilinear parabolic equations in a domain with curved lateral boundaries. We, firstly,
Abdelfatah Bouziani
doaj   +1 more source

Qualitative Analysis of an Optimal Sparse Control Problem for Quasi-Linear Parabolic Equation with Variable Order of Nonlinearity

Journal of Optimization, Differential Equations and Their Applications, 2023
In this work, we study a sparse optimal control problem involving a quasilinear parabolic equation with variable order of nonlinearity as a state equation and with a pointwise control constraints.
Ciro D’Apice, Peter Kogut, Rosanna Manzo   +2 more
doaj   +1 more source

Nonlinear diffusion with the p-Laplacian in a Black-Scholes-type model

Electronic Journal of Differential Equations, 2023
We present a new nonlinear version of the well-known Black-Scholes model for option pricing in financial mathematics. The nonlinear Black-Scholes partial differential equation is based on the quasilinear diffusion term with the p-Laplace operator ...
Peter Takac
doaj   +1 more source

Drift‐Diffusion Models with Schottky Contacts at Metal–Semiconductor Interfaces

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT The paper deals with a drift‐diffusion model for semiconductor devices with Schottky contacts at all metal–semiconductor interfaces. The presented analytical investigations permit Boltzmann as well as Fermi–Dirac statistics for the charge‐carrier densities.
Annegret Glitzky, Matthias Liero
wiley   +1 more source

Numerical study on the blow-up rate to a quasilinear parabolic equation [PDF]

, 2017
summary:In this paper, we consider the blow-up solutions for a quasilinear parabolic partial differential equation $u_t = u^2(u_{xx}+u)$. We numerically investigate the blow-up rates of these solutions by using a numerical method which is recently ...
Ishiwata, Tetsuya, Ushijima, Takeo, Anada, Koichi   +2 more
core   +1 more source

On the Theory of Entropy Solutions of Nonlinear Degenerate Parabolic Equations

Современная математика: Фундаментальные направления, 2020
We consider a second-order nonlinear degenerate parabolic equation in the case when the flux vector and the nonstrictly increasing diffusion function are merely continuous.
E. Yu. Panov
doaj   +1 more source

Random Carbon Tax Policy and Investment Into Emission Abatement Technologies

Mathematical Finance, Volume 36, Issue 4, Page 804-825, October 2026.
ABSTRACT We analyze the problem of a profit‐maximizing electricity producer, subject to carbon taxes, who decides on investments into CO2$\rm CO_2$ abatement technologies. We assume that the carbon tax policy is random and that the investment in the abatement technology is divisible, irreversible, and subject to transaction costs.
Katia Colaneri, Rüdiger Frey, Verena Köck   +2 more
wiley   +1 more source

Rothe Time Discretization and Weak Solutions for a Cutoff Westervelt System

Numerical Methods for Partial Differential Equations, Volume 42, Issue 5, September 2026.
ABSTRACTWe study a fully implicit Rothe time discretization for a cutoff first‐order formulation of the Westervelt equation. The key ingredients are the enthalpy variable and the primitive mobility variable, which turn each nonlinear time step into a uniformly monotone elliptic problem and avoid higher‐order energy estimates and inverse inequalities ...
Marvin Fritz
wiley   +1 more source