The earth has formed so many years. The inner temperature are much higher
than the surface and it it keep balanced. It seems dificult to explain this by the Heat equation. Does some one know why the temperatures inside does not approach the surface?
For connected C^2 domain \Omega such that |\Omega|=|B_1(0)|, let u be the soluiton of -\Delta u=1 in \Omega, u=0 on \partial \Omega, when the value \int_\Omega u dx takes the minimum? is it the...
04 May 2017 3,799 3 View
There are many papers on the parabolic or elliptic differential equation with Hardy potential, or inverse square potential. Is it from some physics model? Or coudl this type equation descripe...
07 August 2016 8,603 2 View
I want to know how to build the fast decaying solution for (-\Delta)^\alpha u=u^p in R^N\setminus {0} where p>\frac{N}{N-2\alpha}. Here fast decay means the solution hjas decaying rate...
11 December 2015 3,054 6 View
To prove the radial symmetry, the method of moving plane is a very useful tool. But how to do the moving planes for equations like -\Delta u =|\nable u|^p in B_1, u=0 on \partial B_1(0).
05 June 2015 5,444 1 View
The regional fractional laplacian is defined by (-\Delta)_D^a u(x)=-C P:V. \int_D\frac{u(y)-u(z)}{|y-z|^{N+2a}}dy, where D is a C^2 domain.
10 November 2014 1,624 5 View
We know that the solution of -\Delta u=f in B_1 is x_N-odd when f is x_N odd.
07 August 2014 2,866 3 View
Boundary blow-up solution is usually found by Perron's method in the classical sense.
02 March 2014 1,222 2 View
I have modelled a steel structure using beam elements in Abaqus and attached to this structure reinforced concrete slab. The analysis that I am making is heat transfer of the structure. The...
07 August 2024 1,028 0 View
Hi! So i attempted to understand a novel protein behavior towards heat application by analyzing its secondary structure change. I subjected the protein to a thermal denaturation analysis using...
06 August 2024 1,989 3 View
I am planning to collect human fecal samples for metatranscriptomic analysis using MGI. These samples are from indigenous people living in a region with high temperatures. I will have access to a...
06 August 2024 1,367 3 View
During low-temperature testing, new diffraction peaks that appear could be indicative of several phenomena. In one of our tests, we observed notable new peaks around 40° and 45° in a specific...
06 August 2024 726 3 View
is there any other way to heat a polymer evenly other than oil bath if so what are those and how to use it
06 August 2024 947 1 View
I want to Estimate surface heat fluxes using MyLake, but I don't have all the initial values in model parameters section and other sections,is there a way?
04 August 2024 1,537 1 View
I want to know more about REE deposits.
03 August 2024 6,930 2 View
Why is the cycling of matter important to life on Earth and movement of matter through an ecosystem different than the movement of energy through an ecosystem?
03 August 2024 5,061 3 View
Why does the flow of energy through the biosphere depend on the cycling of nutrients and matter and energy flow across the earth's subsystem?
03 August 2024 6,412 0 View
How does the atmosphere affect the flow of matter and energy on Earth and flow of energy in the biosphere related to the flow of food through a food chain?
02 August 2024 9,644 0 View