Results 41 to 50 of about 12,485 (201)
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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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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Error analysis for full discretizations of quasilinear parabolic problems on evolving surfaces
, 2015 Convergence results are shown for full discretizations of quasilinear parabolic partial differential equations on evolving surfaces. As a semidiscretization in space the evolving surface finite element method is considered, using a regularity result of a
Adams +40 more
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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
Abstract and Applied Analysis, 2014 We investigate an initial-boundary value problem for a quasilinear parabolic equation with inner absorption and nonlinear Neumann boundary condition. We establish, respectively, the conditions on nonlinearity to guarantee that u(x,t) exists globally or ...
Zhong Bo Fang, Yan Chai
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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 +2 more
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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 +2 more
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Identification of nonlinear heat conduction laws
, 2014 We consider the identification of nonlinear heat conduction laws in stationary and instationary heat transfer problems. Only a single additional measurement of the temperature on a curve on the boundary is required to determine the unknown parameter ...
Egger, Herbert +2 more
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Stability of solutions of quasilinear parabolic equations
Journal of Mathematical Analysis and Applications, 2005 17 ...
COCLITE, Giuseppe Maria, HOLDEN H.
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Quasilinear generalized parabolic Anderson model equation [PDF]
Stochastics and Partial Differential Equations: Analysis and Computations, 2018 We present in this note a local in time well-posedness result for the singular $2$-dimensional quasilinear generalized parabolic Anderson model equation $$ \partial_t u - a(u) u = g(u) $$ The key idea of our approach is a simple transformation of the equation which allows to treat the problem as a semilinear problem.
Bailleul, I. +2 more
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