Results 41 to 50 of about 5,637,423 (161)
Comptes Rendus. Mécanique, 2023 This paper is concerned with the blow-up time of the solutions to an integro-differential problem of parabolic type with variable growth if blow-up occurs.
Ayazoglu, Rabil, Akkoyunlu, Ebubekir
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On Blow-up Sets for the Parabolic Equation dt ∂tβ(u) = ⊿u+f(u) in a Ball [PDF]
, 1991 Radially symmetric solutions of nonlinear degenerate parabolic equations are considered in a ball, under some blow-up conditions on β(ξ), f(ξ) and the initial date.
MOCHIZUKI, Kiyoshi +2 more
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Coupled versus uncoupled blow-up rates in cooperative n-species Logistic Systems
, 2017 This paper ascertains the exact boundary blow-up rates of the large positive solutions of a class of cooperative logistic systems involving n species in a general domain of ℝN of class C 2+ν, 0 < ν < 1.
López Gómez, Julián, Maire, Luis
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Blow-up for 3-D compressible isentropic Navier-Stokes-Poisson equations [PDF]
, 2021 summary:We study compressible isentropic Navier-Stokes-Poisson equations in ${\mathbb R}^3$. With some appropriate assumptions on the density, velocity and potential, we show that the classical solution of the Cauchy problem for compressible unipolar ...
Yang, Shanshan +2 more
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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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Blow-Up Solution of a Porous Medium Equation with Nonlocal Boundary Conditions
Complexity, 2020 In this paper, we devote to studying the blow-up phenomena for a porous medium equation under nonlocal boundary conditions. Based on auxiliary functions and differential inequality technique, we derive the sufficient conditions to guarantee the existence
Huimin Tian, Lingling Zhang
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Minimal mass blow up solutions for a double power nonlinear Schrödinger equation
, 2016 International audienceWe consider a nonlinear Schrödinger equation with double power nonlinearity, where one power is focusing and mass critical and the other mass sub-critical. Classical variational arguments ensure that initial data with mass less than
Le Coz, Stefan +2 more
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Blow up for the critical gKdV equation III: exotic regimes
, 2015 International audienceWe consider the blow up problem in the energy space for the critical (gKdV) equation in the continuation of part I and part II. We know from part I that the unique and stable blow up rate for solutions close to the solitons with ...
Merle, Frank +2 more
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Blow-up of solutions for a system of nonlinear parabolic equations
Electronic Journal of Differential Equations, 2013 The initial boundary value problem for a system of parabolic equations in a bounded domain is considered. We prove that, under suitable conditions on the nonlinearity and certain initial data, the lower bound for the blow-up time is determined if blow-
Shun-Tang Wu Wu
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Abstract and Applied Analysis, 2013 Using bifurcation method of dynamical systems, we investigate the nonlinear waves for the generalized Zakharov equations utt-cs2uxx=β(|E|2)xx, iEt+αExx-δ1uE+δ2|E|2E+δ3|E|4E=0, where α,β,δ1,δ2,δ3, and cs are real parameters, E=E(x,t) is a complex ...
Shaoyong Li, Rui Liu
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