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1
The Navier-Stokes Problem in the 21st Century
CRC Press
Lemarie-Rieusset
,
Pierre Gilles
stokes
navier
equations
solutions
solution
theorem
ḣ
k22
century
bounded
21st
wν
spaces
equation
moreover
existence
belongs
wνt
kl2
function
ϕ
leray
initial
uα
regularity
fluid
ḃ
αk
norm
global
uloc
inequality
mild
2ν
θǫ
tmax
exists
convergence
defined
lemma
satisfies
cν
uǫ
proved
αn
estimate
l2t
locally
νt
step
年:
2016
語言:
english
文件:
PDF, 10.94 MB
你的標籤:
0
/
0
english, 2016
2
A coupled system of Laplacian and bi-Laplacian equations with nonlinear dampings and source terms of variable-exponents nonlinearities: Existence, uniqueness, blow-up and a large-time asymptotic behavior
Salim A. Messaoudi\affil{1} & Mohammad M. Al-Gharabli\affil{2 & 3} & Adel M. Al-Mahdi\affil{2 & 3 & }\corrauth~and Mohammed A. Al-Osta\affil{3 & 4}
k22
aims
mathematics
issue
volume
kvt
solution
lemma
dxdt
γ2
existence
α̃
doi.org
equations
vk22
exponents
solutions
h01
γ1
cε
uk22
dxds
inequality
decay
initial
k̃1
theorem
εc
blow
k2at
positive
u1t
u2t
v1t
v2t
young’s
assumptions
biharmonic
embedding
equation
estimates
global
meleshko
nonlinear
boundary
combining
continuous
kuk
ukt
wave
年:
2023
語言:
english
文件:
PDF, 318 KB
你的標籤:
0
/
5.0
english, 2023
3
Global existence for the heat equation with nonlinear dynamical boundary conditions
Vitillaro E.
γ1
theorem
k22
γ0
hγ10
solution
existence
kvt
global
moreover
θ0
boundary
equations
nonlinear
tmax
prove
vitillaro
inequality
arguments
enzo
initial
lemma
ukt
damping
function
θδ
equation
solutions
continuous
differential
remark
parabolic
uk2
weakly
independent
suppose
v̄t
ηε
ρε
apply
defined
embedding
lr0
theorems
uk22
ū
λn
cauchy
kukt
replaced
語言:
english
文件:
PDF, 348 KB
你的標籤:
0
/
0
english
4
Existence and nonexistence results for critical growth biharmonic elliptic equations
Gazzola F.
,
Grunau H.-C.
,
Squassina M.
ϕ
solution
critical
boundary
solutions
ω0
theorem
positive
lemma
nontrivial
ωh
h01
equations
nonexistence
uε
exists
biharmonic
domains
equation
ϕh
dirichlet
growth
navier
sobolev
assume
grunau
contradiction
d2,2
φω
existence
eω
gazzola
ωε
function
radially
bounded
moreover
radial
christoph
differential
filippo
squassina
step
1ωε
functions
shaped
supp
obtains
polyharmonic
positivity
年:
2002
語言:
english
文件:
PDF, 386 KB
你的標籤:
0
/
0
english, 2002
5
On the blow-up threshold for weakly coupled nonlinear Schrödinger equations
Fanelli L.
,
Montefusco E.
solution
nonlinear
ṽ
k22
equations
blow
schrödinger
solutions
ũ
critical
equation
prove
existence
cauchy
coupled
proved
inequality
theorem
global
threshold
finite
initial
kuk22
phys
ẑ
exists
globally
k2p
moreover
positive
uk22
ψt
consider
kuk2p
kũ
kvk22
kvk2p
kṽ
posed
posedness
remark
vk22
φt
2ℜ
components
conservation
mass
norm
propagation
unique
語言:
english
文件:
PDF, 139 KB
你的標籤:
0
/
0
english
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