Mathematics
Heat Equation
100%
Finite Time
84%
Parabolic
84%
Semilinear
84%
Initial Datum
74%
Dimensional Problem
66%
Index Theory
43%
Euler Equation
38%
Concludes
38%
Asymptotic Behavior
38%
Nonlinearities
35%
Partial Differential Equation
30%
Transport Equation
30%
Parabolic Equation
23%
Geometrical Interpretation
23%
Singular Solution
23%
Eigenvalue
23%
Brouwer Fixed Point Theorem
15%
Analyticity
15%
Space Dimension
15%
Harmonic Map
15%
Viscous Burger
15%
Self-Adjoint
15%
Stability Result
15%
Three-Dimension
15%
Type Equation
15%
Stationary Solution
15%
Wave Speed
15%
Approximate Solution
15%
Optimality
15%
Initial Value
15%
Self-Similarity
15%
Global Existence
15%
Codimension
15%
Semigroup
15%
Main Result
11%
Correction Term
7%
Lagrangian Coordinate
7%
Transversals
7%
Main Parameter
7%
Reduced Problem
7%
Mean Value Theorem
7%
Euler's constant
7%
Asymptotic Expansion
7%
Dense Set
7%
Classical Method
7%
Integer
7%
Form Solution
7%
Eigenfunction
7%
Scale Problem
7%
Keyphrases
Self-similar Blow-up
15%
Engineered Dissipation
15%
Nonlocal Transport Equations
15%
C1 Solution
15%
Gierer-Meinhardt System
15%
Blow-up in Finite Time
15%
Subcritical Case
15%
Lambda
15%
Shadow Limit
15%
Keller-Segel System
15%
Higher-order Semilinear Parabolic Equation
15%
Limiting Speed
15%
Minimal Mass
15%
Burgers Equation
15%
Two-fluid Model
15%
Supercritical Dimensions
15%
Harmonic Heat Flow
15%
Long-time Behavior
15%
Singularity Separation
15%
Patlak-Keller-Segel Equation
15%
Semilinear Parabolic System
15%
Unsteady Separation
15%
Nonlinear Gradient Terms
15%
Finite Time Blow-up
15%
Mass-subcritical
15%
Parabolic-elliptic Keller-Segel System
15%
Frictional Damping
15%
Blow-up Set
15%
Bresse System
15%
Yang-Mills Heat Flow
15%
Non-similar
15%
Blow-up Solutions
15%
Stable Blowup
7%
L2 Norm
7%
Gradient Structure
7%
Infinite Mass
7%
Decay Rate
7%
Solution Stability
7%
Power Nonlinearity
7%
Nonlocal Parabolic PDEs
7%
Euler's Constant
7%
Blow-up Dynamics
7%
Type II Singularity
7%
Non-selfadjoint
7%
Dissipation Effects
7%
Sectorial Property
7%
Viscous Burgers' Equation
7%
Coercive Estimate
7%
Singular Limit Problem
7%
Keller-Segel
7%