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of 132
pro vyhledávání: '"35k91"'
Global existence and blow-up of solutions to pseudo-parabolic equation for Baouendi-Grushin operator
Autor:
Dukenbayeva, Aishabibi
In this note, we study a global existence and blow-up of the positive solutions to the initial-boundary value problem of the nonlinear pseudo-parabolic equation for the Baouendi-Grushin operator. The approach is based on the concavity argument and th
Externí odkaz:
http://arxiv.org/abs/2405.13222
Autor:
Dukenbayeva, Aishabibi
In this note, we show a global existence and blow-up of the positive solutions to the initial-boundary value problem of the nonlinear porous medium equation related to Baouendi-Grushin operator. Our approach is based on the concavity argument and the
Externí odkaz:
http://arxiv.org/abs/2405.13225
Autor:
Bal, Kaushik, Das, Stuti
We will prove several existence and regularity results for the mixed local-nonlocal parabolic equation of the form \begin{eqnarray} \begin{split} u_t-\Delta u+(-\Delta)^s u&=\frac{f(x,t)}{u^{\gamma(x,t)}} \text { in } \Omega_T:=\Omega \times(0, T), \
Externí odkaz:
http://arxiv.org/abs/2402.06926
In this paper, we introduce a general constructive method to compute solutions of initial value problems of semilinear parabolic partial differential equations via semigroup theory and computer-assisted proofs. Once a numerical candidate for the solu
Externí odkaz:
http://arxiv.org/abs/2402.00406
Autor:
Roidos, Nikolaos
We introduce an $R$-sectoriality perturbation technique for non-commuting operators defined in Bochner spaces. Based on this and on bounded $H^{\infty}$-functional calculus results for the Laplacian on manifolds with conical singularities, we show ma
Externí odkaz:
http://arxiv.org/abs/2310.12578
Autor:
Kusaba, Ryunosuke, Ozawa, Tohru
We present a new method to obtain weighted $L^{1}$-estimates of global solutions to the Cauchy problem for the semilinear heat equation with a simple power of super-critical Fujita exponent. Our approach is based on direct and explicit computations o
Externí odkaz:
http://arxiv.org/abs/2306.15234
Autor:
Surowiec, Thomas M., Walker, Shawn W.
We present an analysis and numerical study of an optimal control problem for the Landau-de Gennes (LdG) model of nematic liquid crystals (LCs), which is a crucial component in modern technology. They exhibit long range orientational order in their ne
Externí odkaz:
http://arxiv.org/abs/2304.06421
Autor:
Ghosh, Nibedita, Mahato, Hari Shankar
We study the diffusion-reaction-advection model for mobile chemical species together with the dissolution and precipitation of immobile species in a porous medium at the micro-scale. This leads to a system of semilinear parabolic partial differential
Externí odkaz:
http://arxiv.org/abs/2209.07450
Autor:
Cheng, Jiazhuo, Wang, Qiru
This paper concerns the initial-boundary value problem for a mixed pseudo-parabolic $p$-Laplacian type equation. By constructing a family of potential wells, we first present the explicit expression for the depth of potential well, and then prove the
Externí odkaz:
http://arxiv.org/abs/2208.03433
Autor:
Chung, Soon-Yeong, Hwang, Jaeho
The purpose of this paper is to give a necessary and sufficient condition for the existence and non-existence of global solutions of the following semilinear parabolic equations \[ u_{t}=\Delta u+\psi(t)f(u),\,\,\mbox{ in }\Omega\times (0,t^{*}), \]
Externí odkaz:
http://arxiv.org/abs/2207.08383