Results 51 to 60 of about 12,675 (193)

Existence of extremal periodic solutions for quasilinear parabolic equations

Abstract and Applied Analysis, 1997
In this paper we consider a quasilinear parabolic equation in a bounded domain under periodic Dirichlet boundary conditions. Our main goal is to prove the existence of extremal solutions among all solutions lying in a sector formed by appropriately ...
Siegfried Carl
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Simulation of Heat Waves in An Nonlinear Anisotropic Space

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2010
For the first time analytical solution of the problem with boundary conditions in the non-linear anisotropic space for the quasilinear parabolic heat equation where heat conductivity tensor's components are temperature functions is obtained.
E. L. Kuznetcova, I. A. Selin, V. F. Formalyov   +2 more
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Remarks on global solutions to the initial-boundary value problem for quasilinear degenerate parabolic equations with a nonlinear source term [PDF]

Opuscula Mathematica, 2019
We give an existence theorem of global solution to the initial-boundary value problem for \(u_{t}-\operatorname{div}\{\sigma(|\nabla u|^2)\nabla u\}=f(u)\) under some smallness conditions on the initial data, where \(\sigma (v^2)\) is a positive ...
Mitsuhiro Nakao
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Simultaneous identification of diffusion and absorption coefficients in a quasilinear elliptic problem

, 2013
In this work we consider the identifiability of two coefficients $a(u)$ and $c(x)$ in a quasilinear elliptic partial differential equation from observation of the Dirichlet-to-Neumann map.
Egger, Herbert, Pietschmann, Jan-Frederik, Schlottbom, Matthias   +2 more
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Multidimensional Stability of Planar Traveling Waves for Stochastically Perturbed Reaction–Diffusion Systems

Studies in Applied Mathematics, Volume 155, Issue 3, September 2025.
ABSTRACT We consider reaction–diffusion systems with multiplicative noise on a spatial domain of dimension two or higher. The noise process is white in time, colored in space, and invariant under translations. Inspired by previous works on the real line, we establish the multidimensional stability of planar waves on a cylindrical domain on timescales ...
M. van den Bosch, H. J. Hupkes
wiley   +1 more source

Monotone Finite-Difference Schemes With Second Order Approximation Based on Regularization Approach for the Dirichlet Boundary Problem of the Gamma Equation

IEEE Access, 2020
We investigate the initial boundary value problem for the Gamma equation transformed from the nonlinear Black-Scholes equation for pricing option to a quasilinear parabolic equation of second derivative.
Le Minh Hieu, Truong Thi Hieu Hanh, Dang Ngoc Hoang Thanh   +2 more
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Constructing Exact and Approximate Diffusion Wave Solutions for a Quasilinear Parabolic Equation with Power Nonlinearities

Mathematics, 2022
The paper studies a degenerate nonlinear parabolic equation containing a convective term and a source (reaction) term. It considers the construction of approximate solutions to this equation with a specified law of diffusion wave motion, the existence of
Alexander Kazakov, Lev Spevak
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Nonlinear Parabolic Equations arising in Mathematical Finance

, 2017
This survey paper is focused on qualitative and numerical analyses of fully nonlinear partial differential equations of parabolic type arising in financial mathematics.
A. Tourin, B. Bank, B. Düring, C.G. Averbuj, D. Ševčovič, D. Ševčovič, D.P. Bertsekas, G. Barles, J. Ankudinova, J.H. Witte, K. Muthuraman, L.A. Bordag, M. Avellaneda, M. Hamala, M. Jandačka, M. Koleva, M. Kratka, M. Musiela, M.C. Crandall, M.C. Mariani, M.N. Koleva, N. Ishimura, N. Ishimura, P. Amster, P. Schönbucher, Q.S. Song, R. Abe, R. Company, R. Frey, S. Kilianová, S. Kilianová, S. Nayak, S. Zhou, T. Hoggard, T. Zariphopoulou, W. Liao, W.H. Fleming, Y. Huang, Y.K. Kwok, Z. Macová   +39 more
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Existence of a local strong solution to the beam–polymeric fluid interaction system

Mathematische Nachrichten, Volume 298, Issue 7, Page 2327-2379, July 2025.
Abstract We construct a unique local strong solution to the finitely extensible nonlinear elastic (FENE) dumbbell model of Warner‐type for an incompressible polymer fluid (described by the Navier–Stokes–Fokker–Planck equations) interacting with a flexible elastic shell.
Dominic Breit, Prince Romeo Mensah
wiley   +1 more source

Existence of solutions for quasilinear parabolic equations with nonlocal boundary conditions

Electronic Journal of Differential Equations, 2011
We prove the existence of a generalized solution a quasilinear parabolic equation with nonlocal boundary conditions, using the Faedo-Galerkin approximation.
Baili Chen
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