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THE CONJUGATE HEAT EQUATION AND ANCIENT SOLUTIONS OF THE RICCI FLOW
ANCIENT SOLUTIONS CONJUGATE HEAT EQUATION
2015/8/17
We prove Gaussian type bounds for the fundamental solution of the conjugate heat equation evolving under the Ricci flow. As a consequence, for dimension 4 and
higher, we show that the backward ...
Asymptotic behavior for the heat equation in nonhomogeneous media with critical density
heat equation non-homogeneous media singular density asymptotic behavior radially symmetric solutions
2012/6/21
We study the asymptotic behavior of solutions to the heat equation in nonhomogeneous media with critical singular density $$ |x|^{-2}\partial_{t}u=\Delta u, \quad \hbox{in} \ \real^N\times(0,\infty). ...
A Blow-up Criterion for Two Dimensional Compressible Viscous Heat-Conductive Flows
Blow-up Criterion Two Dimensional Compressible Viscous Heat-Conductive Flows Analysis of PDEs
2011/9/19
Abstract: We establish a blow-up criterion in terms of the upper bound of the density and temperature for the strong solution to 2D compressible viscous heat-conductive flows. The initial vacuum is al...
Two characterization of BV functions on Carnot groups via the heat semigroup
Functions of bounded variation perimeters Carnot groups Heat semigroup
2011/9/15
Abstract: In this paper we provide two different characterizations of sets with finite perimeter and functions of bounded variation in Carnot groups, analogous to those which hold in Euclidean spaces,...
The heat-balance integral method by a parabolic profile with unspecified exponent: Analysis and Benchmark Exercises
heat-balance integral method heat-conduction parabolic profile
2011/1/20
The heat-bal ance in te gral method of Good man has been thor oughly an a lyzed in the case of a par a bolic pro file with un spec i fied ex po nent de pend ing on the bound ary con di tion im posed. ...
Research Note on a Parabolic Heat-Balance Integral Method with Unspecified Exponent: An Entropy Generation Approach in Optimal Profile Determination
Research Note on a Parabolic Heat-Balance Integral Method Unspecified Exponent Entropy Generation Optimal Profile Determination
2011/1/20
The heat-bal ance in te gral method of Good man is stud ied with two sim ple 1-D heat con duc tion prob lems with pre scribed tem per a ture and flux bound ary con di tions.These clas si cal prob lems...
Exotic Heat PDE's.II
Integral bordisms in PDE’s Existence of local and global solutions in PDE’s Conservation laws
2010/11/30
Exotic heat equations that allow to prove the Poincar´e conjecture and its generalizations to any dimension are considered. The methodology used is the PDE’s algebraic topology, introduced by A....
Singular solutions to the heat equations with nonlinear absorption and Hardy potentials
Singular solutions heat equations nonlinear absorption Hardy potentials
2010/12/10
We study the existence and nonexistence of singular solutions to the equation ut−u−
|x|2 u + |x| u|u|p−1 = 0, p > 1, in RN × [0,∞), N ≥ 3, with a singularity at the point
(0, 0)...
Differential Harnack inequalities for nonlinear heat equations with potentials under the Ricci flow
Differential Harnack inequality Interpolated Harnack inequality Nonlinear
2010/12/1
In this paper, we prove several differential Harnack inequalities for positive solutions of nonlinear (backward) heat equations with different potentials under the Ricci flow. In particular, for a clo...
Exact Solutions of Incompressible Couette Flow with Constant Temperature and Constant Heat Flux on Walls in the Presence of Radiation
Transient Natural convection Channel flow Heat flux Exact solution Radiation
2009/10/9
The present paper investigates a closed form solution for the transient free convection flow of a viscous fluid between 2 infinite vertical parallel plates in the presence of radiation. The flow is se...
专著信息
书名
Jump processes and nonlinear fractional heat equations on fractals
语种
英文
撰写或编译
作者
Jiaxin Hu,Martina Zaehle
第一作者单位
出版社
Math. Nachr. 279 (2006), 150-163
出版地
出版日期
2006年
月
日
标准书号
介质类型
页数
字数
开本
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