Results 121 to 130 of about 181,693 (317)
Parabolic transmission problems across irregular layers
Le Matematiche, 2007 We study second order transmission problems across either a fractal surface or across the corresponding pre-fractal surface. Existence uniqueness and regularity results for the strict solution in both cases are proved.The asymptotic behaviour of the ...
Maria Rosaria Lancia
doaj
Life Span of Positive Solutions for the Cauchy Problem for the Parabolic Equations
International Journal of Differential Equations, 2012 Since 1960's, the blow-up phenomena for the Fujita type parabolic equation have been investigated by many researchers. In this survey paper, we discuss various results on the life span of positive solutions for several superlinear parabolic problems.
Yusuke Yamauchi
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Non‐Markovian Quantum Kinetic Simulations of Uniform Dense Plasmas: Mitigating the Aliasing Problem
Contributions to Plasma Physics, EarlyView.ABSTRACT Dense quantum plasmas out of equilibrium are successfully modeled using quantum kinetic equations, such as the quantum Boltzmann, Landau, or Balescu–Lenard equation. However, these equations do not properly take into account correlation effects, which require the use of generalized non‐Markovian kinetic equations.
C. Makait, M. Bonitz
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On properties of solutions of boundary problems of a parabolic partial differential equations [PDF]
, 1958 Rudolf Výborný
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Inverse problems for parabolic equations 2 [PDF]
Communications in Nonlinear Science and Numerical Simulation, 2007 Let $u_t-u_{xx}=h(t)$ in $0\leq x \leq , t\geq 0.$ Assume that $u(0,t)=v(t)$, $u( ,t)=0$, and $u(x,0)=g(t)$. The problem is: {\it what extra data determine the three unknown functions $\{h, v, g\}$ uniquely?}. This question is answered and an analytical method for recovery of the above three functions is proposed.
openaire +3 more sources
Design Guidelines of Free‐Flow Counterflow Gradient Focusing Device for Protein Fractionation
ELECTROPHORESIS, EarlyView.ABSTRACT Free‐flow counterflow gradient focusing (FF‐CGF) is a promising tool for protein fractionation. This work establishes guidelines to construct an FF‐CGF system suitable for preparative applications. Numerical and analytical computations are undertaken to investigate design parameters, including device geometry, flow conditions, sample ...
Matthew Courtney +2 more
wiley +1 more source
Cauchy problem for some fractional nonlinear ultra-parabolic equations
Electronic Journal of Differential Equations, 2016 Blowing-up solutions to nonlocal nonlinear ultra-parabolic equations is presented. The obtained results will contribute in the development of ultra-parabolic equations and enrich the existing non-extensive literature on fractional nonlinear ultra ...
Fatma Al-Musalhi, Sebti Kerbal
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Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020 Background. The theory of solving inverse problems of mathematical physics is one of the most actively developing branches of modern mathematics. The interest of researchers in such problems is primarily due to the large number of their applications ...
I. V. Boykov, V. A. Ryazantsev
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Energy Science &Engineering, EarlyView.This study investigates the impact of landslide geological disasters on oil and gas pipelines, focusing on pipeline deformation under varying landslide dip angles. A large physical simulation platform was used to replicate landslide effects, with experiments conducted at different dip angles to monitor stress, strain, and soil displacement. The results
Xianjie Hao +7 more
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Energy Science &Engineering, EarlyView.ABSTRACT The provision of drinking water as one of the basic human needs is of great importance now. Today, many people in different parts of the world, especially in remote and rural areas, do not have access to fresh water. These areas usually have a high potential for using renewable energy.
Saeed Ramazanian +3 more
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