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 +2 more
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High precision compact numerical approximation in exponential form for the system of 2D quasilinear elliptic BVPs on a discrete irrational region. [PDF]
MethodsX, 2022 Mohanty RK +3 more
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Existence of Solutions for Quasilinear Parabolic Equations With Nonlocal Boundary Conditions
, 2015 "We prove the existence of a generalized solution a quasilinear parabolic equation with nonlocal boundary conditions, using the Faedo-Galerkin approximation.
Chen, Baili
core
Electronic Journal of Differential Equations, 2015 Here we generalize quasilinear parabolic p-Laplacian type equations to obtain the prototype equation $$ u_t - \hbox{div} \Big(\frac{g(|Du|)}{|Du|} Du\Big) = 0, $$ where g is a nonnegative, increasing, and continuous function trapped in between two
Sukjung Hwang, Gary M. Lieberman
doaj
A new spline technique for the time fractional diffusion-wave equation. [PDF]
MethodsX, 2023 Singh S, Singh S, Aggarwal A.
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A Quasilinear Parabolic System with Nonlocal Boundary Condition
Boundary Value Problems, 2011 We investigate the blow-up properties of the positive solutions to a quasilinear parabolic system with nonlocal boundary condition. We first give the criteria for finite time blowup or global existence, which shows the important influence of nonlocal ...
Mu Chunlai, Chen Botao, Mi Yongsheng
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On Regularized Systems of Equations for Gas Mixture Dynamics with New Regularizing Velocities and Diffusion Fluxes. [PDF]
Entropy (Basel), 2023 Zlotnik A, Lomonosov T.
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Comparative Characterization of Nonlinear Ultrasound Fields Generated by Sonalleve V1 and V2 MR-HIFU Systems. [PDF]
IEEE Trans Ultrason Ferroelectr Freq Control, 2023 Karzova MM +6 more
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Regularity results and asymptotic behavior for a noncoercive parabolic problem. [PDF]
J Evol Equ, 2021 Boccardo L, Orsina L, Porzio MM.
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MathematicsQuasilinear parabolic boundary value problems are considered. Sharp conditions on the data ensuring the existence and uniqueness of solutions in Sobolev classes Wp1,2(Q)(p>(n+2)/2 are exposed.
Sergey Pyatkov
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