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Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 07/2019, Volume 351, pp. 1 - 19
Journal Article
Applied Mathematics Letters, ISSN 0893-9659, 06/2019, Volume 92, pp. 139 - 143
We show in this paper that rdωθ belongs to L∞(0;∞;L2(R3))∩L2(0,∞;H1(R3)) for any 32 A priori estimate | Axisymmetric Navier–Stokes equations | MATHEMATICS, APPLIED | AXIALLY-SYMMETRIC FLOWS | REGULARITY CRITERION | WEAK SOLUTIONS | Axisymmetric Navier-Stokes equations
Journal Article
SIAM Journal on Numerical Analysis, ISSN 0036-1429, 2017, Volume 55, Issue 4, pp. 1786 - 1819
Journal Article
Applied Mathematics Letters, ISSN 0893-9659, 01/2019, Volume 87, pp. 141 - 146
This work is a further development of weak solution theory for the general Euler–Bernoulli beam equation ρ(x)utt+μ(x)ut+r(x)uxxxx−(Tr(x)ux)x=F(x,t) defined in... 
Weak and regular weak solution | Euler–Bernoulli beam equation | A priori estimates | Uniqueness | MATHEMATICS, APPLIED | Euler-Bernoulli beam equation | Specific gravity | Analysis
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 10/2018, Volume 466, Issue 2, pp. 1308 - 1316
New perspectives, proofs, and some extensions of known results are presented concerning the behavior of the Fitzpatrick function of a monotone type operator in... 
Fitzpatrick function | Monotone operator | MATHEMATICS | MATHEMATICS, APPLIED | SPACES | LOCAL BOUNDEDNESS | MONOTONE-OPERATORS
Journal Article
Nonlinear Analysis, ISSN 0362-546X, 05/2017, Volume 155, pp. 97 - 114
In this article we study quasilinear equations model of which are −∑i=1n(|uxi|pi−2uxi)xi+f(u)=0,u≥0,∂u∂t−∑i=1n(u(mi−1)(pi−1)|uxi|pi−2uxi)xi+f(u)=0,u≥0. Despite... 
Harnack inequality | Large solutions | A priori estimates | Quasilinear elliptic and parabolic equations | COMPARISON-THEOREMS | MATHEMATICS | MATHEMATICS, APPLIED | SINGULARITIES | STRONG MAXIMUM PRINCIPLE | Analysis | Equality
Journal Article
Analysis and PDE, ISSN 2157-5045, 2014, Volume 7, Issue 1, pp. 227 - 244
We prove some L-infinity a priori estimates as well as existence and stability theorems for the weak solutions of the complex Hessian equations in domains of... 
Pluripotential theory | A priori estimate | Hessian equation | MATHEMATICS | MATHEMATICS, APPLIED | INEQUALITY | DIRICHLET PROBLEM | pluripotential theory | a priori estimate | Mathematics - Complex Variables
Journal Article
Journal of Mathematical Biology, ISSN 0303-6812, 05/2016, Volume 72, Issue 6, pp. 1429 - 1439
In this short paper, we establish a priori L∞-norm estimates for solutions of a class of reaction-diffusion systems which can be used to model the spread of... 
norm estimate | Reaction-diffusion system | Epidemic models | A priori L | Communicable Diseases - transmission | Communicable Diseases - epidemiology | Models, Biological | Cholera - epidemiology | Humans | Mathematical Concepts | Cholera - transmission | Epidemics - statistics & numerical data | A-priori | Usage | Mathematical models | Models | Disease transmission
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 12/2019, Volume 78, Issue 12, pp. 3872 - 3895
Journal Article
Archive for Rational Mechanics and Analysis, ISSN 0003-9527, 5/2019, Volume 232, Issue 2, pp. 763 - 812
We study the beach problem for water waves. The case we consider is a compact fluid domain, where the free surface intersects the bottom along an edge, with a... 
Physics, general | Fluid- and Aerodynamics | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | Classical Mechanics | MATHEMATICS, APPLIED | MECHANICS | Water waves | Domains | Contact angle | Estimates | Free surfaces
Journal Article
Calculus of Variations and Partial Differential Equations, ISSN 0944-2669, 12/2018, Volume 57, Issue 6, pp. 1 - 8
We prove that positive solutions of the Lane–Emden equation in a two-dimensional smooth bounded domain are uniformly bounded for all large exponents. 
Systems Theory, Control | Calculus of Variations and Optimal Control; Optimization | Analysis | Theoretical, Mathematical and Computational Physics | 35B45 | 35J91 | 35B33 | 35J08 | Mathematics | 35B30 | MATHEMATICS | DOMAIN SHAPE | MATHEMATICS, APPLIED | NUMBER | MAXIMUM PRINCIPLE | NONLINEAR EQUATIONS | ELLIPTIC-EQUATIONS | CRITICAL SOBOLEV EXPONENT
Journal Article
Studia Mathematica, ISSN 0039-3223, 2018, Volume 243, Issue 1, pp. 13 - 24
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 11/2018, Volume 467, Issue 2, pp. 959 - 980
In this paper we study quasilinear equations of typeut−div(|∇u|p−2∇u)+V(x)f(u)=0,p≥2,u≥0. Despite the lack of comparison principle, we prove a priori estimates... 
Harnack inequality | Large solutions | Singular absorption term | Quasilinear parabolic equations | A priori estimates | COMPARISON-THEOREMS | LOCAL BEHAVIOR | MATHEMATICS, APPLIED | PARABOLIC EQUATIONS | LINEAR ELLIPTIC-EQUATIONS | DIFFERENTIAL-EQUATIONS | STRONG MAXIMUM PRINCIPLE | MATHEMATICS | CONTINUITY | SCHRODINGER-OPERATORS
Journal Article
Applied Numerical Mathematics, ISSN 0168-9274, 09/2017, Volume 119, pp. 225 - 238
Journal Article
Numerische Mathematik, ISSN 0029-599X, 2/2012, Volume 120, Issue 2, pp. 345 - 386
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 12/2016, Volume 444, Issue 2, pp. 911 - 946
The present article is devoted to the 3D dissipative quasi-geostrophic system (QG). This system can be obtained as a limit model of the Primitive Equations in... 
Singular integrals | 3D Quasi-geostrophic model | Non-local diffusion operator | Lagrangian flow | A priori estimates | Besov spaces | EXISTENCE | MATHEMATICS, APPLIED | EQUATIONS | GLOBAL WELL-POSEDNESS | MATHEMATICS | REGULARITY | CONVERGENCE | ASYMPTOTICS | DIFFUSION | WEAK SOLUTIONS | EULER | Analysis of PDEs | Mathematics
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 02/2020, Volume 482, Issue 1, p. 123506
In this paper, we consider the vacuum free boundary problem of the compressible Navier-Stokes system in two dimension. Under the Lagrangian variables, we... 
Free boundary | Compressible Navier-Stokes | A priori estimates | MATHEMATICS | VACUUM | MATHEMATICS, APPLIED | NONLINEAR ASYMPTOTIC STABILITY | LANE-EMDEN SOLUTIONS | EULER EQUATIONS
Journal Article
Bulletin des sciences mathématiques, ISSN 0007-4497, 05/2017, Volume 141, Issue 3, pp. 105 - 222
We demonstrate that a sufficiently smooth solution of the relativistic Euler equations that represents a dynamical compact liquid body, when expressed in... 
Relativistic fluid bodies | Relativistic Euler equations | A priori estimates | Acoustic boundary conditions | MATHEMATICS, APPLIED | MOTION | INCOMPRESSIBLE LIQUID | FREE-SURFACE BOUNDARY | TENSION | WELL-POSEDNESS | WAVE-EQUATIONS | EULER EQUATIONS
Journal Article
Geophysics, ISSN 0016-8033, 10/2016, Volume 81, Issue 5, pp. 307 - 323
Full-waveform inversion (FWI) enables us to obtain high-resolution subsurface images; however, estimating model uncertainties associated with this technique is... 
Operators | Uncertainty | Covariance | Mathematical analysis | Images | Inversions | Mathematical models | Estimates
Journal Article