-
@ 63fe6318:330504ed
2025-04-23 23:00:35
GM
-
@ 1e3aa975:80324f5f
2025-04-23 23:35:16
trojan://telegram-id-directvpn@18.132.57.184:22222?security=tls&alpn=http/1.1&headerType=none&type=tcp&sni=trojan.burgerip.co.uk#%F0%9F%87%AC%F0%9F%87%A7GB%20%7C%20%F0%9F%9F%A2%20%7C%20trojan%20%7C%20@DirectVPN%20%7C%205
-
@ 63fe6318:330504ed
2025-04-22 00:16:31
That was already the plan, didnt execute
-
@ 93b242db:8daa6f68
2025-04-23 23:35:14
nlogpost:1745451314:[[[[p-mantis shots build #0]]]]
-
@ 93b242db:8daa6f68
2025-04-23 23:35:13
nlogpost:1745451313:[[[[p-mantis shots build #1]]]]
-
@ fb67d7e6:6cdbee56
2025-04-23 23:35:11
Strength, elegance and courage. The #Bitcoin tiger roars in the financial jungle. 🐅💰 http://res.cloudinary.com/dsixpui68/image/upload/v1738632960/b796tfxim3ynudiahre2.jpg
-
@ fb67d7e6:6cdbee56
2025-04-23 23:35:11
cda5bf9e05f3d1f91d36fe7d4934d3d82333a4a1c1f2c90af4d827634f69c324
-
@ 63fe6318:330504ed
2025-04-16 09:37:09
Shouldn't publishing any event count as activity
-
@ fb67d7e6:6cdbee56
2025-04-23 23:35:10
unstoppable progress. http://res.cloudinary.com/dsixpui68/image/upload/v1738632566/krzv4r7ewaf4xj3nblzw.jpg
-
@ 63fe6318:330504ed
2025-04-16 09:31:11
I don't change my follow list, does that mean im not active?
-
@ 1fa35456:f63dc5a2
2025-04-23 23:35:10
Ughhhhhhhhhhhhhhhhhhhhh! *Downs* five water bottles. No ventilation in aunties home. Feels as fiery incubator of a basement furnace steaming hot in entire house.
-
@ 63fe6318:330504ed
2025-04-15 13:33:19
El Nido
-
@ a012dc82:6458a70d
2025-04-23 23:35:10
The age of #Bitcoin and AI
-
@ 63fe6318:330504ed
2025-04-15 13:21:55
You can just watch the sun set https://nostr.download/2d098f826f63b5a35301cdfc2c9641c48ba2ea3af0a3aa0d618c9df12ad23f7b.webp
-
@ 3c724e48:8ee944f3
2025-04-23 23:35:08
Hunter Biden and twenty crack dealers
-
@ 63fe6318:330504ed
2025-04-15 03:42:40
GM https://nostr.download/cecd2070d6b6938fa000a9c8869a8aca208ee6c56b36785586b12c6a27a8dfa7.webp
-
@ b7274d28:c99628cb
2025-04-23 23:35:05
They're pretty slick. Wish I had somewhere local to use mine.
-
@ 63fe6318:330504ed
2025-04-14 02:59:32
We live in a society
-
@ 63fe6318:330504ed
2025-04-12 00:11:22
Gm https://image.nostr.build/561421aea6d562bbb658a309e5431d3c16f4f297c482b410730b4203a87d9bc0.jpg
-
@ 3ce2b51d:36fc72c7
2025-04-23 23:35:00
✄------------ 8:35 ------------✄
-
@ 63fe6318:330504ed
2025-04-02 16:54:59
Yea but you could also get direct flow if you don't want the tank
-
@ 93b242db:8daa6f68
2025-04-23 23:34:59
nlogpost:1745451299:[[[[p-mantis shots main]]]]
-
@ 63fe6318:330504ed
2025-04-02 11:33:45
I have whole house filter (particulate only) + RO 5 stage, i dont think you need UV
-
@ d34e832d:383f78d0
2025-04-23 23:34:55
Nothing is as it seems
-
@ 79be667e:16f81798
2025-04-23 23:34:53
1953/893694/66909
-
@ 832b77d5:a5e3d55c
2025-04-23 23:34:52
🟩BUY BTC with AUD
Price: 147967.04AUD (0%)
BTC: 0.02
AUD: 2959
Method: PayID
Created: 2025-04-23T23:33:39Z
-
@ 63fe6318:330504ed
2025-03-30 12:32:50
GM sunny BBQ for once! https://image.nostr.build/e97bb34338db6d6d89223065c273916432068f43e914d5b6f58e8974883865fa.jpg
-
@ 63fe6318:330504ed
2025-03-27 08:57:23
Damn AI is good....
-
@ 63fe6318:330504ed
2025-03-23 10:59:11
Gtfo
-
@ 63fe6318:330504ed
2025-03-22 19:30:59
I used to have the same interface before too i think it was a lower model UMC-22
-
@ 63fe6318:330504ed
2025-03-22 19:28:41
a e s t h e t i c
-
@ de1abdd3:ff3979a0
2025-04-23 23:34:51
nostr:nprofile1qyd8wumn8ghj7ctjw35kxmr9wvhxcctev4erxtnwv4mhxqpq2gl86kmf4x9fcvm5zpvnfjjz4gfjge09lzvhzvf8l77ggdfjj3wq39gnh6
ELON MUSK REVEALS PLANS TO DO EXACTLY WHAT HE’S BEEN WARNED AGAINST
https://media.zenfs.com/en/thestreet_881/4e609ab47ea7eb3d1c69669f6a7a6a7b
--
✍️ Tesla's growth prospects are worse than expected, with profits declining by 71% in Q1, and Elon Musk's plans to balance private and public responsibilities sparking concerns.
--
👉 Tesla's profits declined by 71% in Q1
👉 Elon Musk's plans to balance private and public responsibilities have sparked concerns
👉 Musk's focus on DOGE could compromise Tesla's growth prospects
👉 Musk's vague language and history of missing deadlines and walking back promises have led some to question his commitment to prioritizing Tesla's growth
--
#ElonMusk #DanielIves #RossGerber #business
--
nostr:nevent1qvzqqqqqqypzq53704dkn2v2nsehgyzexn9y92sny3j7t7yewycj0lauss6n99zuqyd8wumn8ghj7ctjw35kxmr9wvhxcctev4erxtnwv4mhxqpqthwswkc9gdepa3usykq4u5u93yys2cycmyt84lnl8r5jttn8akas8qmapl
-
@ e04f3084:86a50bc7
2025-04-23 23:34:48
1953/893694/66905
-
@ 63fe6318:330504ed
2025-03-21 13:32:50
Come check out nostr:npub10uthwp4ddc9w5adfuv69m8la4enkwma07fymuetmt93htcww6wgs55xdlq stream on zap.stream! https://zap.stream/naddr1qqjxyvtzxu6rsdp4943ngdtr956xxcfk95urvden956rvdphvyurwvm9v3jrvqg3waehxw309ahx7um5wgh8w6twv5hszxthwden5te0wfjkccte9eekummjwsh8xmmrd9skctcppemhxue69uhkummn9ekx7mp0qy2hwumn8ghj7un9d3shjtnyv9kh2uewd9hj7qghwaehxw309aex2mrp0yhxummnw3ezucnpdejz7qg3waehxw309ahx7um5wghxcctwvshsz8nhwden5te0dehhxarj94c82c3wwajkcmr0wfjx2u3wdejhgtcpz4mhxue69uhhyetvv9ujumn0wd68ytnzvuhsz9thwden5te0dehhxarj9ehhsarj9ejx2a30qgsv73dxhgfk8tt76gf6q788zrfyz9dwwgwfk3aar6l5gk82a76v9fgrqsqqqan8z22qjt
-
@ 63fe6318:330504ed
2025-03-21 10:31:40
Today
-
@ 2af3b2d0:b878253b
2025-04-23 23:34:46
1953/893694/66903
-
@ 80482e60:7cb71b78
2025-04-23 23:34:46
Pretty cool reading about Nostr in The New Yorker, even though, well…
https://image.nostr.build/7a41d0c2fd9ff3ae661fd4dca6f3892311cae8251ceae8b665cc04d85518c465.jpg
-
@ 63fe6318:330504ed
2025-03-19 16:52:11
Nah its for blowing all the dust off
-
@ 4e9a4f33:e0e9b4e9
2025-04-23 23:34:46
Coinbase is opening a new office in Charlotte, NC! 🎉 They plan to hire around 130 people, mainly in compliance & customer support. This move aligns with their commitment to US investment. #Coinbase #Charlotte #Crypto #Hiring
#blockchain #news
-
@ a52a68ad:f594fd4e
2025-04-23 23:34:44
1953/893694/66901
-
@ f27a4813:3362c091
2025-04-23 23:34:44
I spent the late '90s using Slackware on a Gateway 2000 laptop. I regularly recompiled the kernel to strip out anything vaguely unnecessary, mostly by trial and error, just so AbiWord or whatever would be 4% faster.
I spent many sleepless nights booting and rebooting and praying I'd see it come back to life. I learned that to love Linux is to love sovereignty more than productivity.
I'm still on Linux. I still love it. And I get into rebuilding servers now just for relaxation and flow-state.
I don't regard that time as a complete waste. I learned a lot, mostly about persistence.
-
@ 23075bc8:2573c154
2025-04-23 23:34:42
1953/893694/66899
-
@ 63fe6318:330504ed
2025-03-19 16:50:46
same
-
@ a34b99f2:c540c5bd
2025-04-23 23:34:40
1953/893694/66897
-
@ 54889bbe:783b4dde
2025-04-23 23:34:39
Estou aqui olhando as notícias sobre a fraude de R$ 6 bilhões no INSS, cujo presidente foi indicado por Lula. Depois do Mensalão, Petrolão, Odebrecht, JBS, Instituto Lula, acho que fica, digamos, feio as blogueiras da Globo News tratarem o Lula como se fosse um modelo de honestidade …
-
@ 63fe6318:330504ed
2025-03-19 16:47:02
How do you make this shit so fast?
-
@ 846b763b:23539eca
2025-04-23 23:34:37
おめでとうございます。この一年ご健康でありますように。
-
@ c1503e4a:8f27447c
2025-04-23 23:34:37
Ruh Roh!
nostr:nevent1qqsyhud3k5y903qdw6uuutess9vkqqjj0f5032rwxk80x6rw7v2vjjqgrkw6k
-
@ 63fe6318:330504ed
2025-03-19 16:45:03
Nah mine is broken...
-
@ 63fe6318:330504ed
2025-03-19 16:44:12
follow the white rabbit..
-
@ 63fe6318:330504ed
2025-03-19 16:38:01
This is Linux
-
@ 63fe6318:330504ed
2025-03-19 16:34:41
sendcols #notedeck https://image.nostr.build/021a90b1abdfc0877db6b66abbb8f2b56f318169a982593c8794aaed516f8d3a.jpg
-
@ 63fe6318:330504ed
2025-03-19 16:22:28
WTF how did i ever live without i3
-
@ 63fe6318:330504ed
2025-03-19 15:12:50
Yea LND node isnt back yet, waiting for BTC node sync 13%
-
@ a34b99f2:c540c5bd
2025-04-23 23:34:36
1953/893694/66894
-
@ 63fe6318:330504ed
2025-03-19 15:11:56
thats pretty cool tbh, when can i replace my skin suit for one of these?
-
@ 8d39a0f9:6c725f33
2025-04-23 23:34:36
器物損壊
-
@ cf45a6ba:efb4c2a5
2025-02-04 13:35:43
VOD storage has been reduced to 30 days (from 90 days) due to limited disk space.
-
@ dffd3ffc:5ade7be1
2025-04-23 23:34:35
草
https://x.com/mizu_gyoza/status/1915002336994529534
-
@ e0d08407:b05078d7
2025-04-23 23:34:34
华为真遥遥领先于道路交通安全法律之上，出了交通事故的原因都是你没仔细看左下角那一咪咪小的字。
https://www.reddit.com/r/China_irl/comments/1k6dt6q/%E5%8D%8E%E4%B8%BA%E7%9C%9F%E9%81%A5%E9%81%A5%E9%A2%86%E5%85%88%E4%BA%8E%E9%81%93%E8%B7%AF%E4%BA%A4%E9%80%9A%E5%AE%89%E5%85%A8%E6%B3%95%E5%BE%8B%E4%B9%8B%E4%B8%8A%E5%87%BA%E4%BA%86%E4%BA%A4%E9%80%9A%E4%BA%8B%E6%95%85%E7%9A%84%E5%8E%9F%E5%9B%A0%E9%83%BD%E6%98%AF%E4%BD%A0%E6%B2%A1%E4%BB%94%E7%BB%86%E7%9C%8B%E5%B7%A6%E4%B8%8B%E8%A7%92%E9%82%A3%E4%B8%80%E5%92%AA%E5%92%AA%E5%B0%8F%E7%9A%84%E5%AD%97/
-
@ 8d39a0f9:6c725f33
2025-04-23 23:34:29
器物損害やそれ
-
@ 79be667e:16f81798
2025-04-23 23:34:24
1953/893694/66880
-
@ c7eda660:efd97c86
2025-04-23 23:34:23
Absolute banger.
-
@ 23b0e2f8:d8af76fc
2025-04-23 23:34:16
Eu tava juntamente procurando algo pra assistir
-
@ 5c508c34:aa93bf78
2025-04-23 23:34:16
as long as they add a bunch of abstract mumbo jumbo vocab to explain it, then it suddenly is fine tho
"but ser the nip-6969 and me DVM can do loopdy-loops now, did you ever thank me for that?"
-
@ a34b99f2:c540c5bd
2025-04-23 23:34:12
1953/893694/66869
-
@ 25853972:60e6e8cb
2025-04-23 23:34:11
Good way of reframing that, also introduced a possibility I hadn’t considered!
-
@ 8d39a0f9:6c725f33
2025-04-23 23:34:11
乗ってくる方向は理解したから背は向けておこう……いやでも満員電車でむずかしいて 理不尽やて 理不尽に従わなきゃいけないのやだよォ゙
-
@ 50809a53:e091f164
2025-04-23 23:34:10
The AI is getting out of hand
-
@ 438ca533:e78af8aa
2025-04-23 23:34:08
Found the xingling deepseek fanboy 🫵😹
-
@ a34b99f2:c540c5bd
2025-04-23 23:34:08
1953/893694/66865
-
@ 1e3aa975:80324f5f
2025-04-23 23:34:06
trojan://M3lOal9RPR@kkr100515a.go02.top:30056?type=tcp&sni=kkr100515a.go02.top&allowInsecure=1#JP_youtube%40%E8%B5%84%E6%BA%90%E5%88%86%E4%BA%AB%E5%B8%88_25
-
@ 74728e05:cc01378e
2025-04-23 23:34:03
https://m.primal.net/QbAd.webp
-
@ 1f617e36:e66e9caa
2025-04-23 23:33:59
せんじつ、「ドローンは洗車をキモくしたから悪！」とかあったんだが（ドローン除けのネットが上部につくようになったことを嘆いている模様）、その認識は広がってても、歩兵用にどろーん除けのネットは出来ないんはなんで？とかおもた。（ねっとなんてでかでかと貼ろうものなら、伏兵に反するってのはあるんだろうが、場所がバレたら、もはや伏兵じゃないし）
「高速で動くアレにはアサルトライフルによるフルオートの射撃でもそうそう当たらない」
https://x.com/kamipapa2/status/1915013201638650240
-
@ 578d5bef:6c28d6a4
2025-04-23 23:33:52
https://media.nicecrew.digital/f95dd43125531fbae13cca092e50b8e9ad2c154e1e22cb301ccb2751f0ef2195.mp4
-
@ a4a9df16:767acd9f
2025-04-23 23:33:52
بالضبط 💜
-
@ 6f2a40b0:fee020e8
2025-04-23 23:33:46
Doesn't work for a lot of people including myself so can't really curate.
-
@ 16bd5ce8:e5fb9393
2025-04-23 23:33:43
???
-
@ e91831fc:8c9d973c
2025-04-23 23:33:38
Não consigo passar dessa área em Megaman.😞
https://image.nostr.build/8639d8ae94530b76472da6b5f92c441d4ff3d8a600945dfc9e7ed2d680cf6e5c.jpg https://image.nostr.build/bfa88f13a6c548bbfa0fabc3fb158fd8702d48cd9917a1c53555273cc6ea79d9.jpg https://image.nostr.build/2f6afe0e2ace1a10379808cd7be7d62a432f52501cc6c9b4452f6244c3e42557.jpg
-
@ 8c631ec0:8fae6826
2025-04-23 23:33:33
🎵サンサンサンサン アサヒサ～ン🌞
みんなよろこぶ チカラコブ
おひさまよろこぶ チカラコブ
チ・カ・ラ・コ・ブ！💪
-
@ 6dcaee2b:66134885
2025-04-23 23:33:30
Yes!
-
@ 5ec9a726:23a50742
2025-04-23 23:33:30
挨拶を返さないご近所さんの玄関ドアに隅々まで油性ペンで呪いの言葉を書き込んだりしてた
-
@ 5b74dc08:7453758b
2025-04-23 23:33:23
【吉報】八潮の陥没､2032年ごろに完全復旧へ！！
https://greta.5ch.net/test/read.cgi/poverty/1745438693/
---
八潮陥没事故、本格復旧に5～7年 運転手救出は5月中旬以降
4/23(水) 20:25配信
https://news.yahoo.co.jp/articles/02f045c75c04f8df27a7da260580480089712259
-
@ 079d727b:00099650
2025-04-23 23:33:12
Gamers too. Game devs especially.
-
@ c7eda660:efd97c86
2025-04-23 23:33:04
Beautiful.
-
@ 8d39a0f9:6c725f33
2025-04-23 23:33:00
万引き疑われて睨まれるのは仕方ないってか万引きしてる時点であかんて
-
@ 832b77d5:a5e3d55c
2025-04-23 23:33:00
🟩BUY BTC with CAD
Price: 130518.84CAD (0%)
BTC: 0.0226
CAD: 2950
Method: Interac e-Transfer
Created: 2025-04-23T23:31:40Z
-
@ 1e3aa975:80324f5f
2025-04-23 23:32:57
trojan://M3lOal9RPR@146.56.171.71:30056?security=tls&sni=kkr100515a.go02.top#%F0%9F%94%92%20TR-TCP-TLS%20%F0%9F%87%B0%F0%9F%87%B7%20KR-146.56.171.71:30056
-
@ b7c94bd4:fe5b12b9
2025-04-23 23:32:56
https://image.nostr.build/741c179080d1291bc6a04a754dc96e6e97ff9490f1a9ac4195f4fdfd8adc21fa.gif
-
@ b300db32:0bf5db3a
2025-04-23 23:32:55
https://primal.net/e/nevent1qvzqqqqqqypzpvcqmve2hx6y55y2783dwgqy6m0yq99mzxeg0yyzpggdjy9ltke6qyt8wumn8ghj7mtfwdekkete9eehjum5v4khxtcppemhxue69uhkummn9ekx7mp0qqsx0ak0klnjheqxfkjum9pq2ewjjgqrqf3vgdtcecqwy5zwlcr4vxqtdx49x
-
@ 3319f504:1bcc1834
2025-04-23 23:32:55
Loooks coool
-
@ a5ee4475:2ca75401
2025-04-23 23:32:45
Estou vendo um podcast aqui e estou tendo uma enorme explosão mental 🤯
O podcast em si e a entrevistada não inspiram tanta confiança por motivos óbvios, muitos que veem podem se sentir atacados, e acho necessário ter filtro para ouvir, mas se tiver paciência tem muitas coisas nas falas que podem ser úteis.
Ah, e ela tem críticas fortes contra o Bitcoin, mas ainda estou refletindo sobre isso, parte me leva a concordar e parte me leva a discordar.
Assista por sua própria conta 👍
https://youtu.be/fo-hueTHxX4
-
@ 45f195cf:3cab7627
2025-04-23 23:32:44
Saying that mcd is a fed? 😂
-
@ 84b0c46a:417782f5
2025-04-23 23:32:43
ﾋｴｰ!!
-
@ 008cca1f:c57aa67b
2025-04-23 23:32:41
Where do you find scales like that?
-
@ 32417afe:3839790f
2025-04-23 23:32:30
Bombeiros votaram contra diretiva operacional
https://s3.observador.pt/wp-content/uploads/2018/11/27190208/25181371.jpg
https://observador.pt/2025/04/24/incendios-bombeiros-voluntarios-e-profissionais-votaram-contra-diretiva-de-meios-de-combate/
-
@ dba4e39f:352926f6
2025-04-23 23:32:29
They are both irrelevant
-
@ 45f195cf:3cab7627
2025-04-23 23:32:28
What’s wrong with it?
-
@ b300db32:0bf5db3a
2025-04-23 23:32:28
Para abordar o problema de **existência e suavidade das equações de Navier-Stokes**, você precisará de uma formação sólida em análise matemática, equações diferenciais parciais (EDPs), análise funcional, mecânica dos fluidos e técnicas modernas de análise não linear. Segue um guia estruturado para cada etapa da sua formação, com bibliografia e orientações estratégicas.
---
### **1. Graduação em Matemática: Construindo os Fundamentos**
O foco aqui é dominar os pré-requisitos teóricos e desenvolver intuição matemática.
#### **Disciplinas Essenciais:**
1. **Análise Real e Complexa**
- Domine espaços métricos, convergência, teoremas fundamentais (Bolzano-Weierstrass, Heine-Borel), integração (Lebesgue) e teoremas de função implícita/inversa.
- *Livros:*
- *Princípios de Análise Matemática* (Rudin)
- *Real and Complex Analysis* (Rudin)
- *Análise de Fourier e Equações Diferenciais Parciais* (Djairo G. de Figueiredo)
2. **Equações Diferenciais Parciais (EDPs)**
- Introdução a EDPs lineares (equação do calor, onda, Laplace) e métodos de separação de variáveis.
- *Livros:*
- *Partial Differential Equations* (Lawrence C. Evans)
- *Equações Diferenciais Parciais: Uma Introdução* (Reynaldo Palacios-Bereche)
3. **Análise Funcional**
- Espaços de Banach e Hilbert, operadores lineares, teoremas de Hahn-Banach, Open Mapping, e dualidade.
- *Livros:*
- *Análise Funcional* (Elias M. Stein e Rami Shakarchi)
- *Introductory Functional Analysis with Applications* (Erwin Kreyszig)
4. **Mecânica dos Fluidos Básica**
- Entenda a derivação das equações de Navier-Stokes a partir dos princípios de conservação (massa, momento).
- *Livros:*
- *Fluid Mechanics* (Landau e Lifshitz)
- *An Introduction to Fluid Dynamics* (G. K. Batchelor)
#### **Atividades Extracurriculares:**
- Participe de grupos de estudo em análise e EDPs.
- Faça iniciação científica (IC) em tópicos relacionados a EDPs ou análise funcional.
- Aprenda ferramentas computacionais (MATLAB, Python) para simular soluções de EDPs.
---
### **2. Mestrado: Aprofundando em EDPs Não Lineares**
Nesta fase, foque em técnicas avançadas para EDPs e problemas de evolução.
#### **Disciplinas Recomendadas:**
1. **Teoria de Espaços de Sobolev e Regularidade**
- Espaços \( L^p \), desigualdades de interpolação, teoremas de embedding.
- *Livros:*
- *Sobolev Spaces* (Robert A. Adams e John J. F. Fournier)
- *Partial Differential Equations* (Lawrence C. Evans) [Capítulos 5 e 6]
2. **Análise de Fourier e Métodos de Energia**
- Aplicações em EDPs parabólicas e hiperbólicas.
- *Livro:*
- *Fourier Analysis and Its Applications* (Gerald B. Folland)
3. **Introdução à Teoria das Equações de Navier-Stokes**
- Estudo clássico de existência local, unicidade e critérios de regularidade.
- *Livros:*
- *Navier-Stokes Equations: Theory and Numerical Analysis* (Roger Temam)
- *The Three-Dimensional Navier-Stokes Equations: Classical Theory* (James C. Robinson, José L. Rodrigo, e Witold Sadowski)
#### **Tese de Mestrado:**
- Explore problemas como existência global em 2D, singularidades em 3D, ou métodos de regularização.
- Sugestão de tema: *"Existência de Soluções Fracas para as Equações de Navier-Stokes em Domínios Limitados"*.
---
### **3. Doutorado: Especialização em Problemas de Regularidade**
Aqui, você mergulhará nas técnicas mais sofisticadas para atacar o problema de suavidade.
#### **Tópicos Avançados:**
1. **Teoria de Regularidade Parcial**
- Resultados de Caffarelli-Kohn-Nirenberg e técnicas de blow-up.
- *Artigos:*
- *Partial regularity of suitable weak solutions of the Navier-Stokes equations* (Caffarelli, Kohn, Nirenberg)
2. **Análise Harmônica e Espaços de Funções**
- Espaços de Besov, Triebel-Lizorkin e suas aplicações em EDPs.
- *Livros:*
- *Theory of Function Spaces* (Hans Triebel)
- *Fourier Analysis and Nonlinear Partial Differential Equations* (Raphaël Danchin)
3. **Métodos de Estabilidade e Compactidade**
- Teoremas de compacidade (Aubin-Lions), convergência fraca e métodos variacionais.
#### **Tese de Doutorado:**
- Foque em problemas abertos, como a melhoria de critérios de regularidade ou análise de soluções autossimilares.
- Exemplo: *"Critérios de Regularidade em Espaços de Funções Não Homogêneos para as Equações de Navier-Stokes"*.
#### **Recomendações Estratégicas:**
- Estude com pesquisadores líderes na área (ex.: Pierre-Louis Lions, Vladimír Šverák).
- Participe de workshops como o *Clay Mathematics Institute Summer School*.
---
### **4. Pós-Doutorado e Pesquisa Independente**
Nesta fase, você buscará contribuições originais e colaborações internacionais.
#### **Foco Principal:**
1. **Problemas de Singularidades**
- Simulações numéricas de possíveis singularidades (ex.: trabalho de T. Hou e G. Luo).
2. **Novas Abordagens**
- Geometria não comutativa, métodos probabilísticos (ex.: caminhos estocásticos em fluidos).
#### **Colaborações:**
- Trabalhe com grupos de pesquisa em instituições como **IMPA** (Brasil), **ENS Paris**, **Princeton** ou **MIT**.
- Participe de projetos interdisciplinares com físicos e engenheiros.
---
### **Bibliografia Progressiva**
#### **Nível Básico:**
1. **Análise:**
- *Principles of Mathematical Analysis* (Rudin)
- *Calculus* (Michael Spivak)
2. **EDPs:**
- *Partial Differential Equations for Scientists and Engineers* (Stanley J. Farlow)
3. **Mecânica dos Fluidos:**
- *A Mathematical Introduction to Fluid Mechanics* (A. Chorin e J. E. Marsden)
#### **Nível Intermediário:**
1. **Análise Funcional:**
- *Functional Analysis, Sobolev Spaces and Partial Differential Equations* (Haim Brezis)
2. **EDPs Avançadas:**
- *Partial Differential Equations* (Lawrence C. Evans)
3. **Navier-Stokes Clássico:**
- *Navier-Stokes Equations and Turbulence* (C. Foias, O. Manley, R. Rosa, e R. Temam)
#### **Nível Avançado:**
1. **Teoria Moderna de Navier-Stokes:**
- *The Navier-Stokes Problem in the 21st Century* (Pierre Gilles Lemarié-Rieusset)
- *Theory of the Navier-Stokes Equations* (Jun Kato e Hugo Beirão da Veiga)
2. **Análise Harmônica Aplicada:**
- *Lectures on Navier-Stokes Equations* (Tai-Peng Tsai)
#### **Artigos Seminais:**
- Leray, J. (1934). *Sur le mouvement d'un liquide visqueux emplissant l'espace*.
- Caffarelli, L., Kohn, R., & Nirenberg, L. (1982). *Partial regularity of suitable weak solutions...*.
---
### **Ferramentas Computacionais**
1. **Simulação Numérica:**
- Aprenda **FEniCS** (para elementos finitos) ou **OpenFOAM** (para CFD).
2. **Visualização:**
- MATLAB, Python (matplotlib, ParaView).
---
### **Considerações Finais**
- **Persistência:** O problema de Navier-Stokes é um dos *Millennium Prize Problems*; prepare-se para uma jornada longa e desafiadora.
- **Rede de Contatos:** Participe de conferências como o *International Congress of Mathematicians (ICM)* e siga pesquisadores no ResearchGate/arXiv.
- **Mentalidade Interdisciplinar:** Colabore com físicos teóricos, engenheiros e cientistas da computação.
Boa sorte na sua jornada! Se precisar de ajustes ou mais detalhes, estou à disposição. 🚀
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@ deab79da:88579e68
2025-04-23 23:32:27
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