Results 21 to 30 of about 2,128,627 (261)
Front propagation in nonlinear parabolic equations [PDF]
Journal of the London Mathematical Society, 2014 We study existence and stability of travelling waves for nonlinear convection diffusion equations in the 1-D Euclidean space. The diffusion coefficient depends on the gradient in analogy with the p-Laplacian and may be degenerate. Unconditional stability is established with respect to initial data perturbations in the Lebesgue space of integrable ...
Eduard Feireisl +3 more
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Fujita-type results for the degenerate parabolic equations on the Heisenberg groups [PDF]
, 2023 In this paper, we consider the Cauchy problem for the degenerate parabolic equations on the Heisenberg groups with power law non-linearities. We obtain Fujita-type critical exponents, which depend on the homogeneous dimension of the Heisenberg groups ...
Torebek, Berikbol +6 more
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Higher order parallel splitting methods for parabolic partial differential equations [PDF]
, 1995 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The thesis develops two families of numerical methods, based upon new rational approximations to the matrix exponential function, for solving second-order ...
Taj, Malik Shahadat Ali
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Parabolic pulse generation through passive reshaping of Gaussian pulses in a normally dispersive fiber [PDF]
, 2007 We numerically and experimentally demonstrate that a Gaussian pulse can be reshaped into a pulse with a stable parabolic intensity profile during propagation in normally dispersive nonlinear ...
Petropoulos, Periklis +3 more
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Controllability for parabolic equations with nonlinear memory
Computers & Mathematics with Applications, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qiang Tao, Hang Gao 0001
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Ibn Al-Haitham Journal for Pure and Applied Sciences, 2022 This paper aims to study the quaternary classical continuous optimal control problem consisting of the quaternary nonlinear parabolic boundary value problem, the cost function, and the equality and inequality constraints on the state and the control ...
jamil Amir Al-Hawasy +1 more
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On a comparison theorem for parabolic equations with nonlinear boundary conditions
Advances in Nonlinear Analysis, 2022 In this article, a new type of comparison theorem for some second-order nonlinear parabolic systems with nonlinear boundary conditions is given, which can cover classical linear boundary conditions, such as the homogeneous Dirichlet or Neumann boundary ...
Kita Kosuke, Ôtani Mitsuharu
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Introduction to fully nonlinear parabolic equations
, 2012 68 pagesThese notes contain a short exposition of selected results about parabolic equations: Schauder estimates for linear parabolic equations with Hölder coefficients, some existence, uniqueness and regularity results for viscosity solutions of fully ...
Silvestre, Luis, Imbert, Cyril
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Null-controllability for 1-D degenerate quasilinear parabolic equations
Electronic Journal of Differential EquationsIn this article, we prove local null-controllability for one-dimensional degenerate quasilinear parabolic equations. We apply a well-known local inversion argument used by Fursikov and Imanuvilov. The strategy is to use Carleman estimates, previously
Pitagoras P. de Carvalho +3 more
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Differential difference inequalities related to parabolic functional differential equations [PDF]
Opuscula Mathematica, 2010 Initial boundary value problems for nonlinear parabolic functional differential equations are transformed by discretization in space variables into systems of ordinary functional differential equations.
Milena Netka
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