Question

Establish that at $\sigma \geq 1$ the first derivatives of solution (9) by $x$ and $t$ are discontinuous in the point $\bar{x}=x_{\Phi}(t)$, while at $\sigma \geq 1 / 2$ the second derivatives are discontinuous.

   Establish that at $\sigma \geq 1$ the first derivatives of solution (9) by $x$ and $t$ are discontinuous in the point $\bar{x}=x_{\Phi}(t)$, while at $\sigma \geq 1 / 2$ the second derivatives are discontinuous.
 
Principles of Mathematical Modelling: Ideas, Methods, Examples
Principles of Mathematical Modelling: Ideas, Methods, Examples
Alexander A.… 1st Edition
Chapter 5, Problem 4 ↓

Instant Answer

verified

Step 1

We need to establish that for a solution (9), which isn't explicitly given, the first derivatives with respect to x and t are discontinuous at the point x̄ = xΦ(t) when σ ≥ 1, and the second derivatives are discontinuous when σ ≥ 1/2.  Show more…

Show all steps

lock
AceChat toggle button
Close icon
Ace pointing down

Please give Ace some feedback

Your feedback will help us improve your experience

Thumb up icon Thumb down icon
Thanks for your feedback!
Profile picture
Establish that at $\sigma \geq 1$ the first derivatives of solution (9) by $x$ and $t$ are discontinuous in the point $\bar{x}=x_{\Phi}(t)$, while at $\sigma \geq 1 / 2$ the second derivatives are discontinuous.
Close icon
Play audio
Feedback
Powered by NumerAI
Need help? Use Ace
Ace is your personal tutor. It breaks down any question with clear steps so you can learn.
Start Using Ace
Ace is your personal tutor for learning
Step-by-step explanations
Instant summaries
Summarize YouTube videos
Understand textbook images or PDFs
Study tools like quizzes and flashcards
Listen to your notes as a podcast
Continue solving this problem
Create a free account to:
  • View full step-by-step solution
  • Ask follow-up questions with Ace AI
  • Save progress and study later
Continue Free
Numerade

Get step-by-step video solution
from top educators

Continue with Clever
or



By creating an account, you agree to the Terms of Service and Privacy Policy
Already have an account? Log In

A free answer
just for you

Watch the video solution with this free unlock.

Numerade

Log in to watch this video
...and 100,000,000 more!


EMAIL

PASSWORD

OR
Continue with Clever